rsin B (should all be same)

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze310.0ms (2.8%)

Memory
18.9MiB live, 409.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample3.4s (30.1%)

Memory
3.5MiB live, 1 633.8MiB allocated
Samples
1.4s5 801×1valid
374.0ms2 455×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 704.0ms (53.5% of total)
ival-sin: 212.0ms (16.1% of total)
ival-add: 113.0ms (8.6% of total)
adjust: 109.0ms (8.3% of total)
ival-mult: 97.0ms (7.4% of total)
ival-div: 71.0ms (5.4% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain156.0ms (1.4%)

Memory
8.7MiB live, 181.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
74119(-1.3974172757272418e+140 -1.2897186367198188e+204 -1.3701984347134128e-185)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1930
Confusion
Predicted +Predicted -
+740
-11963
Precision
0.38341968911917096
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-119063
Precision?
0.38341968911917096
Recall?
1.0
Freqs
test
numberfreq
063
1193
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms366×1valid
10.0ms146×0valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-sin: 34.0ms (43.3% of total)
ival-cos: 22.0ms (28% of total)
adjust: 6.0ms (7.6% of total)
ival-mult: 6.0ms (7.6% of total)
ival-add: 5.0ms (6.4% of total)
ival-div: 4.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess115.0ms (1%)

Memory
-16.0MiB live, 58.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
217884
343184
4112284
5256184
6332684
7373984
8432484
9470284
10471484
11471884
12471884
13475884
14477484
15477484
089
0139
1179
2199
3219
4229
0229
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Iterations

Useful iterations: 0 (0.0ms)

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

localize48.0ms (0.4%)

Memory
23.0MiB live, 60.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.2109375
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.26171875
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy15.668731987505971
(cos.f64 (+.f64 a b))
Samples
35.0ms183×1valid
5.0ms73×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 8.0ms (32.9% of total)
ival-sin: 6.0ms (24.7% of total)
adjust: 3.0ms (12.3% of total)
ival-mult: 3.0ms (12.3% of total)
ival-add: 2.0ms (8.2% of total)
ival-div: 2.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-16.1MiB live, 27.8MiB allocated
Counts
4 → 38
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(/ (* r (sin b)) (cos (+ a 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)))
(/ (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)))
(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))))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(/ 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))))
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))))
(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))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
r
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
5.0ms
r
@inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
3.0ms
b
@-inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
b
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))
2.0ms
a
@inf
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify156.0ms (1.4%)

Memory
0.6MiB live, 157.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0215844
1660792
22077734
37997734
08001693
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a 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)))
(/ (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)))
(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))))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(/ 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))))
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))))
(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))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a))
(+ (* 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 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 b b) (/.f64 (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))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite162.0ms (1.5%)

Memory
15.2MiB live, 170.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14422
223422
3199922
01026022
Stop Event
iter limit
node limit
iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (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 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 r (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))) r))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 b) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(*.f64 (sin.f64 b) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) #s(literal -1 binary64)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (cos.f64 (+.f64 a b))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b)))
(*.f64 #s(literal 1 binary64) (sin.f64 b))
(*.f64 (sin.f64 b) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 b)))
(sin.f64 b)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.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)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (*.f64 (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (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 b a)) (cos.f64 (+.f64 a b)))))) #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 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (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 b a)) (cos.f64 (+.f64 a b)))))) #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) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (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 b a)) (cos.f64 (+.f64 a b)))))) #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 b a)) (cos.f64 (+.f64 a b))))) #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 b a)) (cos.f64 (+.f64 a b)))))) #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) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 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 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.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)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 (+.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)))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos.f64 (+.f64 a b))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval25.0ms (0.2%)

Memory
6.0MiB live, 44.0MiB allocated
Compiler

Compiled 4 218 to 766 computations (81.8% saved)

prune86.0ms (0.8%)

Memory
-29.8MiB live, 45.3MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New16229191
Fresh000
Picked101
Done000
Total16329192
Accuracy
99.8%
Counts
192 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
75.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
75.4%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
75.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
75.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
75.5%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
37.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
77.3%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
46.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
50.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
53.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
75.4%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
49.6%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
35.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
59.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Compiler

Compiled 1 064 to 762 computations (28.4% saved)

simplify293.0ms (2.6%)

Memory
26.2MiB live, 114.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
cost-diff6464
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
cost-diff0
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
cost-diff0
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 b (cos.f64 a))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041296
071292
1105284
2165284
3256284
4387281
5495281
6730281
71005281
81508281
92607281
103510281
113946281
124253281
134694281
144877281
154923281
165444281
175654281
185654281
195654281
205654281
215670281
225672281
235672281
245672281
255678281
05678278
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
r
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
r
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(literal -1 binary64)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 b (cos.f64 a))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))
r
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
#s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(cos.f64 (+.f64 a b))
#s(literal 1 binary64)
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
#s(literal -1 binary64)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))
(*.f64 b b)
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
a
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(cos.f64 a)
#s(literal 2 binary64)
(/.f64 b (cos.f64 a))

localize374.0ms (3.3%)

Memory
-4.5MiB live, 275.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
accuracy0.2265625
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy3.8416358030282876
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
accuracy32.260440885482424
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
accuracy0.2109375
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
accuracy0.26171875
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
accuracy0.27734375
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
accuracy15.668731987505971
(cos.f64 (+.f64 a b))
accuracy0.2109375
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
accuracy0.26171875
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
accuracy15.668731987505971
(cos.f64 (+.f64 a b))
accuracy31.91136914160599
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
accuracy0.0
(cos.f64 a)
accuracy0.14453125
(/.f64 b (cos.f64 a))
accuracy0.2109375
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy32.20670503266107
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy0.078125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.11358131092597981
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.2109375
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
accuracy0.26171875
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
314.0ms177×1valid
27.0ms79×0valid
Compiler

Compiled 536 to 78 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 229.0ms
ival-pow: 84.0ms (36.7% of total)
ival-div: 27.0ms (11.8% of total)
ival-pow2: 25.0ms (10.9% of total)
ival-cos: 24.0ms (10.5% of total)
ival-mult: 22.0ms (9.6% of total)
adjust: 15.0ms (6.6% of total)
ival-sin: 15.0ms (6.6% of total)
ival-add: 7.0ms (3.1% of total)
const: 6.0ms (2.6% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.6%)

Memory
-23.4MiB live, 50.5MiB allocated
Counts
22 → 73
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(*.f64 b b)
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 (+.f64 a b))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a 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)))
(/ (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)))
(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))))))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(+ (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)))))))
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(cos a)
(cos (+ a b))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* (cos a) (cos b))
(pow (cos a) 2)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(* 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))))
(* 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))))
(+ (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) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(pow b 2)
(+ (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)))))))
(sin b)
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(cos (- a (* -1 b)))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
r
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (cos b) (cos a)) (cos (+ a b)) (pow (cos a) 2))
8.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (cos b) (cos a)) (cos (+ a b)) (pow (cos a) 2))
5.0ms
b
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (cos b) (cos a)) (cos (+ a b)) (pow (cos a) 2))
5.0ms
b
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (cos b) (cos a)) (cos (+ a b)) (pow (cos a) 2))
5.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (+ (* (pow b 3) -1/6) b) (/ 1 (pow (cos (+ a b)) -1)) (* r (/ (sin b) (/ 1 (pow (cos (+ a b)) -1)))) (/ (sin b) (/ 1 (pow (cos (+ a b)) -1))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (* b b) (* (cos b) (cos a)) (cos (+ a b)) (pow (cos a) 2))

simplify166.0ms (1.5%)

Memory
28.4MiB live, 178.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03471344
110591259
233171199
081771117
Stop Event
iter limit
node limit
Counts
73 → 72
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a 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)))
(/ (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)))
(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))))))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(+ (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)))))))
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(cos a)
(cos (+ a b))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* (cos a) (cos b))
(pow (cos a) 2)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(* 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))))
(* 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))))
(+ (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) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(pow b 2)
(+ (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)))))))
(sin b)
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (neg.f64 a) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
b
(+ b (* 1/2 (* (pow a 2) b)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b)
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b)
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b #s(literal -61/720 binary64)) a) (neg.f64 a) (*.f64 #s(literal 5/24 binary64) b)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) b)) (*.f64 a a) b)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ b (* a (pow b 2)))
(fma.f64 (*.f64 b b) a b)
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b)
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) b (*.f64 (*.f64 #s(literal 5/6 binary64) (*.f64 b b)) a)) a (*.f64 b b)) a b)
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(fma.f64 (*.f64 (cos.f64 b) (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) (*.f64 a a) (cos.f64 b))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)) (cos.f64 b) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)))))
(+ 1 (* -1 (pow a 2)))
(-.f64 #s(literal 1 binary64) (*.f64 a a))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/45 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(cos a)
(cos.f64 a)
(cos (+ a b))
(cos.f64 (+.f64 a b))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(pow (cos a) 2)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(* 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 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 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 (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(pow b 2)
(*.f64 b b)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(fma.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))
(sin b)
(sin.f64 b)
(* -1/6 (pow b 3))
(*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(/.f64 (*.f64 (*.f64 (sin.f64 a) b) b) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite257.0ms (2.3%)

Memory
-11.8MiB live, 239.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041231
071247
1224198
21358192
08526192
Stop Event
iter limit
node limit
iter limit
Counts
22 → 800
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
(/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a))))
(*.f64 b b)
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 (+.f64 a b))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (neg.f64 (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (*.f64 r #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))))))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 a)) (log.f64 (cos.f64 a))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))

eval143.0ms (1.3%)

Memory
10.2MiB live, 203.6MiB allocated
Compiler

Compiled 20 574 to 2 853 computations (86.1% saved)

prune206.0ms (1.8%)

Memory
-15.2MiB live, 147.3MiB allocated
Pruning

63 alts after pruning (61 fresh and 2 done)

PrunedKeptTotal
New66848716
Fresh111324
Picked325
Done000
Total68263745
Accuracy
99.9%
Counts
745 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
75.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
75.4%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
99.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
48.0%
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
98.9%
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
75.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
49.6%
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
37.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.4%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
74.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
56.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
61.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
48.0%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
99.3%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
99.2%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))))
46.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))))
50.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
53.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
99.3%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
48.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b))))))
49.2%
(*.f64 r (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
34.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b (sqrt.f64 (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))))))
24.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
27.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
27.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
27.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
32.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
35.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
35.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
99.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
49.8%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
59.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Compiler

Compiled 2 820 to 1 993 computations (29.3% saved)

simplify127.0ms (1.1%)

Memory
7.4MiB live, 129.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
cost-diff384
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
cost-diff6912
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
cost-diff0
(/.f64 (tan.f64 a) (cos.f64 a))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
cost-diff0
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
cost-diff7104
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
cost-diff0
(+.f64 a b)
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 r (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
cost-diff0
(fma.f64 (*.f64 b b) a b)
cost-diff0
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058474
091473
1141473
2194473
3265467
4350439
5583439
61746439
73432439
84250439
96911439
08166426
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 b b)
b
a
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/.f64 (tan.f64 a) (cos.f64 a))
(tan.f64 a)
a
(cos.f64 a)
(*.f64 b b)
b
(/.f64 b (cos.f64 a))
r
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)
(/.f64 #s(literal 1 binary64) (cos.f64 a))
#s(literal 1 binary64)
(cos.f64 a)
a
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 b b)
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 b b)
b
a
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (tan.f64 a) b #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))) r)
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (*.f64 (fma.f64 (tan.f64 a) b #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(*.f64 (fma.f64 (tan.f64 a) b #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))
(/.f64 (tan.f64 a) (cos.f64 a))
(tan.f64 a)
a
(cos.f64 a)
(*.f64 b b)
b
(/.f64 b (cos.f64 a))
r
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(*.f64 (fma.f64 (/.f64 b (cos.f64 a)) (sin.f64 a) #s(literal 1 binary64)) (/.f64 b (cos.f64 a)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(-.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 a) b)))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)
(/.f64 #s(literal 1 binary64) (cos.f64 a))
#s(literal 1 binary64)
(cos.f64 a)
a
b
(/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))
(sin.f64 a)
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 b b)

localize273.0ms (2.4%)

Memory
14.2MiB live, 274.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2109375
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
accuracy0.2265625
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
accuracy19.520617692186743
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
accuracy32.260440885482424
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
accuracy0.17578125
(/.f64 (tan.f64 a) (cos.f64 a))
accuracy0.2109375
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
accuracy3.8416358030282876
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
accuracy32.260440885482424
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
accuracy0.0
(sin.f64 b)
accuracy0.17578125
(/.f64 r (cos.f64 (+.f64 a b)))
accuracy0.20703125
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
accuracy15.668731987505971
(cos.f64 (+.f64 a b))
accuracy0.2109375
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
accuracy5.764911443677411
(fma.f64 (*.f64 b b) a b)
accuracy26.129727219240195
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
accuracy32.260440885482424
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
accuracy0.078125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.0859375
(*.f64 (sin.f64 b) r)
accuracy0.11358131092597981
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.25
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
207.0ms183×1valid
25.0ms73×0valid
Compiler

Compiled 763 to 103 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-cos: 65.0ms (33% of total)
ival-mult: 51.0ms (25.9% of total)
ival-div: 21.0ms (10.7% of total)
ival-sin: 19.0ms (9.6% of total)
adjust: 16.0ms (8.1% of total)
ival-add: 12.0ms (6.1% of total)
ival-tan: 7.0ms (3.6% of total)
ival-pow2: 4.0ms (2% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
4.7MiB live, 91.2MiB allocated
Counts
23 → 102
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(/.f64 (tan.f64 a) (cos.f64 a))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a 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)))
(/ (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)))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(/ 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)))
(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))))
(+ a b)
(+ b (* a (+ (* a (- (* a (- (* 1/3 (pow b 2)) (* -1/2 (pow b 2)))) (* -1/2 b))) (pow b 2))))
a
(* a (+ 1 (* 5/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2))))))))
(+ b (* a (+ (* a (+ (* 1/2 b) (* 5/6 (* a (pow b 2))))) (pow b 2))))
(/ 1 b)
(+ a (/ 1 b))
(+ (* a (+ 1 (* 1/2 (/ a b)))) (/ 1 b))
(+ (* a (+ 1 (* a (+ (* 5/6 a) (* 1/2 (/ 1 b)))))) (/ 1 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))))))))
(+ (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)))))))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(/ (sin b) (cos (+ a b)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (pow b 2))
(* a (+ (/ b a) (pow b 2)))
(cos (+ a b))
(* a (+ 1 (/ b a)))
(/ (sin a) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(pow (cos a) 2)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* 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)))))))
(* 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))))
(/ 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))))
(* b (+ 1 (* a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(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))))
(/ 1 (* b (cos a)))
(/ (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) b)
(+ (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) (* -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)))))))
(sin b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ a (/ 1 b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
a
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (+ (* (/ (tan a) (cos a)) (* b b)) (/ b (cos a))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ (tan a) (cos a)) (* (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* b b)) (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (pow (cos a) 2))
10.0ms
r
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (+ (* (/ (tan a) (cos a)) (* b b)) (/ b (cos a))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ (tan a) (cos a)) (* (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* b b)) (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (pow (cos a) 2))
8.0ms
a
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (+ (* (/ (tan a) (cos a)) (* b b)) (/ b (cos a))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ (tan a) (cos a)) (* (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* b b)) (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (pow (cos a) 2))
4.0ms
b
@-inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (+ (* (/ (tan a) (cos a)) (* b b)) (/ b (cos a))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ (tan a) (cos a)) (* (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* b b)) (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (pow (cos a) 2))
4.0ms
b
@inf
((* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (+ a b) (+ (* (/ (tan a) (cos a)) (* b b)) (/ b (cos a))) (* (/ (sin b) (cos (+ a b))) r) (/ (sin b) (cos (+ a b))) (/ (tan a) (cos a)) (* (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* b b)) (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (pow (cos a) 2))

simplify166.0ms (1.5%)

Memory
12.9MiB live, 198.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04361806
113961709
243871620
082521503
Stop Event
iter limit
node limit
Counts
102 → 100
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a 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)))
(/ (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)))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(/ 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)))
(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))))
(+ a b)
(+ b (* a (+ (* a (- (* a (- (* 1/3 (pow b 2)) (* -1/2 (pow b 2)))) (* -1/2 b))) (pow b 2))))
a
(* a (+ 1 (* 5/6 (pow a 2))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2))))))
(* a (+ 1 (* (pow a 2) (+ 5/6 (* (pow a 2) (+ 61/120 (* 277/1008 (pow a 2))))))))
(+ b (* a (+ (* a (+ (* 1/2 b) (* 5/6 (* a (pow b 2))))) (pow b 2))))
(/ 1 b)
(+ a (/ 1 b))
(+ (* a (+ 1 (* 1/2 (/ a b)))) (/ 1 b))
(+ (* a (+ 1 (* a (+ (* 5/6 a) (* 1/2 (/ 1 b)))))) (/ 1 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))))))))
(+ (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)))))))
1
(+ 1 (* -1 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/3 (pow a 2)) 1)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/3 (* -2/45 (pow a 2)))) 1)))
(/ (sin b) (cos (+ a b)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (pow b 2))
(* a (+ (/ b a) (pow b 2)))
(cos (+ a b))
(* a (+ 1 (/ b a)))
(/ (sin a) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(pow (cos a) 2)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* 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)))))))
(* 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))))
(/ 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))))
(* b (+ 1 (* a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(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))))
(/ 1 (* b (cos a)))
(/ (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) b)
(+ (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) (* -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)))))))
(sin b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ a (/ 1 b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 (/.f64 r (cos.f64 b)) #s(literal 1/2 binary64)) (sin.f64 b))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* 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 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (sin.f64 b) (cos.f64 b)))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
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b
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a
(* a (+ 1 (* 5/6 (pow a 2))))
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(* a (+ 1 (* (pow a 2) (+ 5/6 (* 61/120 (pow a 2))))))
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1
#s(literal 1 binary64)
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(/ (sin b) (cos (+ a b)))
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(* a (pow b 2))
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(* a (+ (/ b a) (pow b 2)))
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(cos (+ a b))
(cos.f64 (+.f64 a b))
(* a (+ 1 (/ b a)))
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(/ (sin a) (pow (cos a) 2))
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(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
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(* (cos a) (cos b))
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(pow (cos a) 2)
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(/ (sin b) (cos (- b (* -1 a))))
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(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(*.f64 (fma.f64 b b (/.f64 b a)) a)
(/ r (cos (- b (* -1 a))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
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(* -1 (* a (- (* -1 (/ b a)) 1)))
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(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
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(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
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(* b (+ 1 (* -1/6 (pow b 2))))
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(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
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(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
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(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.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))))
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(* 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))))
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(* b (+ 1 (* a b)))
(fma.f64 (*.f64 b b) a b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
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(cos a)
(cos.f64 a)
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(/ 1 (* b (cos a)))
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(/ (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))) b)
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(sin b)
(sin.f64 b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(*.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(* (pow b 2) (+ a (/ 1 b)))
(fma.f64 (*.f64 b b) a b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)

rewrite219.0ms (2%)

Memory
-27.2MiB live, 360.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058373
091386
1300321
22134321
08619318
Stop Event
iter limit
node limit
iter limit
Counts
23 → 719
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(fma.f64 (*.f64 b b) a b)
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
#s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a))))
(/.f64 (tan.f64 a) (cos.f64 a))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(pow.f64 (cos.f64 a) #s(literal 2 binary64))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 #s(literal 1 binary64) r)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 #s(literal 1 binary64) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))) r)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b)))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))
(*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b)) (pow.f64 (fma.f64 (*.f64 a b) b (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a b) b (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (*.f64 a b) b (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a b) b (neg.f64 b))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a b) b (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (*.f64 a b) b (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (*.f64 a b) b (neg.f64 b))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a b) b (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (*.f64 a b) b (neg.f64 b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (*.f64 (*.f64 b b) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a b) b (neg.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 b (*.f64 (*.f64 b b) a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b))) (neg.f64 (fma.f64 (*.f64 a b) b (neg.f64 b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 a b) b (neg.f64 b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (*.f64 b (-.f64 b (*.f64 (*.f64 b b) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 (*.f64 b b) a)) (-.f64 (*.f64 b b) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64))))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b)))
(fma.f64 (*.f64 a b) b b)
(fma.f64 (*.f64 b b) a b)
(fma.f64 a (*.f64 b b) b)
(fma.f64 b (*.f64 a b) b)
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 b (*.f64 (*.f64 b b) a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a b) b (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (*.f64 a b) b (neg.f64 b))))
(+.f64 (*.f64 (*.f64 b b) a) b)
(+.f64 b (*.f64 (*.f64 b b) a))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))) #s(literal -2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a a)) (cos.f64 (-.f64 a a)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 a)) (log.f64 (cos.f64 a))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 a)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a))))

eval193.0ms (1.7%)

Memory
17.8MiB live, 252.6MiB allocated
Compiler

Compiled 28 724 to 3 475 computations (87.9% saved)

prune108.0ms (1%)

Memory
-51.2MiB live, 208.3MiB allocated
Pruning

76 alts after pruning (72 fresh and 4 done)

PrunedKeptTotal
New68229711
Fresh134356
Picked235
Done112
Total69876774
Accuracy
100.0%
Counts
774 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
75.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
75.4%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
99.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
48.0%
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b))
99.3%
(*.f64 (/.f64 r (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b))
99.3%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) (sin.f64 b))
46.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)))) (sin.f64 b))
42.2%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (sin.f64 b))
67.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
75.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
60.5%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
61.3%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
50.8%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (sin.f64 b))
56.7%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) (sin.f64 b))
59.4%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
53.3%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
75.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
45.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
49.6%
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
37.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
74.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64))))))
56.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
61.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
99.2%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
56.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
53.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
48.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b))))))
49.2%
(*.f64 r (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
34.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
24.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
27.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
27.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
27.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
32.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
32.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
34.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (*.f64 b b)))))
35.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
27.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
17.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
35.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
99.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
50.9%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
56.6%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
75.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)))
50.2%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
50.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
75.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))))
75.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
49.8%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
Compiler

Compiled 3 618 to 2 491 computations (31.1% saved)

simplify358.0ms (3.2%)

Memory
33.7MiB live, 145.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
cost-diff0
(cos.f64 a)
cost-diff0
#s(approx (cos (+ a b)) (cos.f64 a))
cost-diff0
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
cost-diff0
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
cost-diff0
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
cost-diff0
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058459
093456
1150456
2234456
3395456
4663450
51119450
62114450
73214450
85092450
95655450
106065450
116551450
126937450
137126450
147605450
157736450
167766450
177776450
187785450
197790450
207792450
217792450
08252443
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
r
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
(sin.f64 a)
a
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
(sin.f64 a)
a
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 (cos.f64 a) b)
(cos.f64 a)
#s(literal -1/2 binary64)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
r
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
a
(sin.f64 b)
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
(sin.f64 a)
a
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 a)) b (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a)))
(sin.f64 a)
a
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))
(*.f64 #s(literal 1/6 binary64) b)
#s(literal 1/6 binary64)
#s(literal -1 binary64)
(*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))
(*.f64 (cos.f64 a) b)
(cos.f64 a)
#s(literal -1/2 binary64)

localize363.0ms (3.3%)

Memory
10.0MiB live, 359.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26171875
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
accuracy0.32421875
(*.f64 #s(literal 1/6 binary64) b)
accuracy3.8417601851372747
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
accuracy31.87931175016104
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
accuracy0.07737248016428752
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
accuracy0.2109375
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
accuracy0.26171875
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
accuracy31.155484084571526
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
accuracy0.0
(cos.f64 a)
accuracy0.17578125
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
accuracy0.20703125
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
accuracy29.949878843534755
#s(approx (cos (+ a b)) (cos.f64 a))
accuracy7.735088367133034
(*.f64 (*.f64 b b) a)
accuracy26.129727219240195
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
accuracy31.37400455637353
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
accuracy32.260440885482424
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
accuracy0.14014100476004981
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy0.1875
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.2109375
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy0.26171875
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Samples
246.0ms183×1valid
48.0ms73×0valid
Compiler

Compiled 755 to 107 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-mult: 61.0ms (31.9% of total)
ival-cos: 43.0ms (22.5% of total)
ival-div: 20.0ms (10.4% of total)
ival-sin: 17.0ms (8.9% of total)
ival-add: 16.0ms (8.4% of total)
adjust: 14.0ms (7.3% of total)
const: 9.0ms (4.7% of total)
ival-neg: 8.0ms (4.2% of total)
ival-pow2: 4.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory
-33.8MiB live, 56.7MiB allocated
Counts
23 → 98
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 b b) a)
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) b)
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a 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)))
(/ (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)))
(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))))))))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(/ 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)))
(+ (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))))
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)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* a (pow b 2))
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(* -1/2 b)
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin b) (cos (+ a b)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (+ (/ b a) (pow b 2)))
(cos (+ a b))
(cos a)
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(/ 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))))
(* 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))))
(+ (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))))))))
(* b (+ 1 (* a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (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))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (sin a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(* 1/6 b)
(sin b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ a (/ 1 b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
b
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* b b) a) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
10.0ms
r
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* b b) a) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
5.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* b b) a) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
5.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* b b) a) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))
4.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (+ (* (* b b) a) b) (* (/ r (cos (+ a b))) (sin b)) (/ r (cos (+ a b))) (cos (+ a b)) (cos a) (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin b)) (sin a)) (* (* b b) a) (+ (* (neg b) (sin a)) (cos a)) (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (* 1/6 b))

simplify174.0ms (1.6%)

Memory
53.2MiB live, 275.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04221817
113411709
242541631
082651525
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ r (cos (+ a 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)))
(/ (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)))
(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))))))))
b
(+ b (* a (pow b 2)))
(+ b (* a (+ (* 1/2 (* a b)) (pow b 2))))
(+ b (* a (+ (* a (- (* a (- (* -1/6 (pow b 2)) (* -1 (pow b 2)))) (* -1/2 b))) (pow b 2))))
(/ 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)))
(+ (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))))
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)))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* a (pow b 2))
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(* -1/2 b)
(+ (* -1/2 b) (* a (- (* 1/6 (pow b 2)) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* 1/4 (* a b))) 1)))
(+ (* -1/2 b) (* a (- (+ (* 1/6 (pow b 2)) (* a (+ (* -1/6 (* a (- (* 1/6 (pow b 2)) 1))) (* 1/4 b)))) 1)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin b) (cos (+ a b)))
(+ (/ b (cos a)) (/ (* (pow b 2) (sin a)) (pow (cos a) 2)))
(* a (+ (/ b a) (pow b 2)))
(cos (+ a b))
(cos a)
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (* -1/2 (* b (cos a))) (* (sin a) (- (* 1/6 (pow b 2)) 1)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (pow b 2)))))
(/ r (cos (- b (* -1 a))))
(cos (- b (* -1 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))))
(/ 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))))
(* 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))))
(+ (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))))))))
(* b (+ 1 (* a b)))
(/ r (cos a))
(+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2)))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(+ (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))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(* -1 (sin a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(* 1/6 b)
(sin b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(* (pow b 2) (+ a (/ 1 b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* 1/6 (* (pow b 2) (sin a)))
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ r (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ r (cos (+ a b)))
(/.f64 r (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
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(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) r (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a)))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (+ (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))) (/ (* (sin a) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a))))) (cos a)))))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a)))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (-.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (*.f64 (*.f64 (sin.f64 a) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (*.f64 (/.f64 r (cos.f64 a)) (-.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 (sin.f64 a)) b)
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 (neg.f64 (sin.f64 a)) b))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)) (sin.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))))) b)
(* -1 (sin a))
(neg.f64 (sin.f64 a))
(+ (* -1 (sin a)) (* -1/2 (* b (cos a))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a)))
(+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a)))
(* 1/6 b)
(*.f64 #s(literal 1/6 binary64) b)
(sin b)
(sin.f64 b)
(/ (* (pow b 2) (sin a)) (pow (cos a) 2))
(*.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))
(* (pow b 2) (+ (/ 1 (* b (cos a))) (/ (sin a) (pow (cos a) 2))))
(fma.f64 (*.f64 (sin.f64 a) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 b (cos.f64 a)))
(* (pow b 2) (+ a (/ 1 b)))
(fma.f64 (*.f64 b b) a b)
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)
(* 1/6 (* (pow b 2) (sin a)))
(*.f64 (*.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64)) b)
(* (pow b 2) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) b) b)
(* (pow b 2) (+ (* -1 (/ (sin a) (pow b 2))) (+ (* -1/2 (/ (cos a) b)) (* 1/6 (sin a)))))
(*.f64 (fma.f64 (sin.f64 a) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 (/.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) (*.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ r (cos (- a (* -1 b))))
(/.f64 r (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)
(* (pow b 2) (+ (* -1 (/ (+ (* 1/2 (cos a)) (/ (sin a) b)) b)) (* 1/6 (sin a))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 a) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 a) (/.f64 (sin.f64 a) b)) (neg.f64 b))) b) b)

rewrite177.0ms (1.6%)

Memory
-4.2MiB live, 239.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058378
093375
1316333
22211327
08288320
Stop Event
iter limit
node limit
iter limit
Counts
23 → 337
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
#s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))))
#s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))
#s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(/.f64 r #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (cos (+ a b)) (cos.f64 a))
(cos.f64 a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (*.f64 b b) a)
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) b)
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 b)) r)) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 b) r))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (sin.f64 b))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (sin.f64 b))) (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) #s(literal -1 binary64)))
(sin.f64 b)
(*.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b))) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a))) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (cos.f64 a) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (sin.f64 a) (*.f64 #s(literal 1/6 binary64) b)) b (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (*.f64 (sin.f64 a) b) (*.f64 #s(literal 1/6 binary64) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (sin.f64 a) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) b) (*.f64 (sin.f64 a) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 b (*.f64 (sin.f64 a) b)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 (sin.f64 a) (*.f64 (*.f64 #s(literal 1/6 binary64) b) b) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(fma.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(fma.f64 b (*.f64 (*.f64 #s(literal 1/6 binary64) b) (sin.f64 a)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))) (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 a) b)))))
(+.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b))) (neg.f64 (sin.f64 a)))
(+.f64 (*.f64 (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 b b)) (fma.f64 #s(literal -1 binary64) (sin.f64 a) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (sin.f64 a)))
(*.f64 #s(literal 1/6 binary64) b)
(*.f64 b #s(literal 1/6 binary64))

eval132.0ms (1.2%)

Memory
-12.6MiB live, 156.3MiB allocated
Compiler

Compiled 14 665 to 1 943 computations (86.8% saved)

prune96.0ms (0.9%)

Memory
-0.7MiB live, 161.4MiB allocated
Pruning

87 alts after pruning (80 fresh and 7 done)

PrunedKeptTotal
New46920489
Fresh76067
Picked145
Done134
Total47887565
Accuracy
100.0%
Counts
565 → 87
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.4%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
75.5%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
53.3%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
53.3%
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
75.4%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
51.7%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))
74.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
99.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
48.0%
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
99.5%
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
99.5%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b))
99.3%
(*.f64 (/.f64 r (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b))
99.3%
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) (sin.f64 b))
46.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)))) (sin.f64 b))
42.2%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (sin.f64 b))
67.0%
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
75.5%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
60.5%
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
50.8%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (sin.f64 b))
45.2%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sin.f64 b))
59.4%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
53.3%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
35.0%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
38.0%
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
75.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
45.0%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
37.2%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
37.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
74.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64))))))
56.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
56.7%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
61.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
50.9%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
59.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))))
53.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
62.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
65.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
61.0%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
75.5%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
99.2%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))))
51.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
59.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
34.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
51.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
50.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
50.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
53.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
49.6%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
51.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
49.2%
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
48.0%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b))))))
49.2%
(*.f64 r (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
33.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
34.1%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
49.7%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
49.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
27.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
27.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
27.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
32.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
34.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (*.f64 b b)))))
35.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
27.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
17.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
17.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
35.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
99.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
50.9%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
56.6%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
50.2%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
50.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
75.4%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))))
75.5%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
49.8%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
Compiler

Compiled 5 194 to 2 119 computations (59.2% saved)

regimes266.0ms (2.4%)

Memory
-18.7MiB live, 329.2MiB allocated
Counts
127 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 r (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b (sqrt.f64 (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 r (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (fma.f64 (*.f64 (cos.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 b b) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (pow.f64 (sqrt.f64 (cos.f64 a)) #s(literal 2 binary64))))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
(*.f64 (/.f64 r (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
(*.f64 (/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))) (sin.f64 b))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
Calls

5 calls:

71.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
38.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.0ms
a
35.0ms
b
32.0ms
r
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes157.0ms (1.4%)

Memory
5.9MiB live, 211.4MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 #s(approx (+ (* (sin a) (+ (* (* 1/6 b) b) -1)) (* (* (cos a) b) -1/2)) (*.f64 #s(literal -1/2 binary64) b)) b (cos.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) r)) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(*.f64 r (*.f64 (neg.f64 #s(approx (sin b) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 a b) b b)))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a)))) (sin.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) r))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a b))))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))))
(*.f64 r (/.f64 #s(approx (sin b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)))) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) #s(approx (pow (cos a) 2) #s(literal 1 binary64)))) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b (sqrt.f64 (cos.f64 a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 a))))))
(*.f64 (/.f64 r (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (-.f64 (*.f64 b b) (*.f64 a a)))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (sqrt.f64 (cos.f64 (+.f64 a b))) #s(literal 2 binary64))))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 r #s(literal -1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (/.f64 (tan.f64 a) (cos.f64 a)) (*.f64 b b) (/.f64 b (cos.f64 a)))) r)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 r (sqrt.f64 (cos.f64 (+.f64 a b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 (+.f64 a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (pow.f64 (pow.f64 (cos.f64 a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) r)) #s(literal -1 binary64))) (sin.f64 b))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) r)) #s(literal -1 binary64))) (sin.f64 b))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (/ 1 (pow (cos (+ a b)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (cos.f64 b) (neg.f64 (sin.f64 b))) a (cos.f64 b)))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 b (*.f64 #s(literal -1/2 binary64) b) #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) b) (fma.f64 (*.f64 b b) #s(literal 1/6 binary64) #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) a) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 #s(approx (* (sin b) r) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))))))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

5 calls:

41.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
29.0ms
a
29.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
28.0ms
r
26.0ms
b
Results
AccuracySegmentsBranch
75.5%1r
75.5%1a
75.5%1b
75.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes52.0ms (0.5%)

Memory
5.2MiB live, 84.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

13.0ms
r
10.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms
a
9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
75.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.5%1b
75.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
75.5%1r
75.5%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes50.0ms (0.4%)

Memory
-8.5MiB live, 111.2MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

5 calls:

12.0ms
a
11.0ms
r
9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
8.0ms
b
Results
AccuracySegmentsBranch
61.1%2r
75.0%3b
59.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
75.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
74.7%3a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes10.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (cos.f64 b))) (sin.f64 b))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

1 calls:

8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
75.1%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes18.0ms (0.2%)

Memory
-10.5MiB live, 27.8MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

2 calls:

9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
b
Results
AccuracySegmentsBranch
75.0%3b
75.0%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes38.0ms (0.3%)

Memory
-8.8MiB live, 68.6MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) b))) (*.f64 b b)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (pow.f64 (cos.f64 a) #s(literal -1 binary64)) b)))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b))
Calls

5 calls:

10.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
7.0ms
a
6.0ms
b
6.0ms
r
Results
AccuracySegmentsBranch
49.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
49.8%1r
49.8%1a
53.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
52.2%2b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes11.0ms (0.1%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
5.0ms
b
Results
AccuracySegmentsBranch
49.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
49.8%1b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes28.0ms (0.2%)

Memory
-29.3MiB live, 50.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

7.0ms
b
6.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
a
4.0ms
r
Results
AccuracySegmentsBranch
49.8%1r
49.8%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
49.8%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
49.8%1a
49.8%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes25.0ms (0.2%)

Memory
8.4MiB live, 44.9MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b (fma.f64 #s(literal 1/2 binary64) a b)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (*.f64 #s(approx (+ (/ (/ 1 (cos a)) b) (/ (sin a) (pow (cos a) 2))) (/.f64 #s(literal 1 binary64) b)) (*.f64 b b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (/ b (cos a)) (fma.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 #s(literal -5/24 binary64) (*.f64 a a) #s(literal -1/2 binary64))) a)) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) a b))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
a
4.0ms
b
Results
AccuracySegmentsBranch
34.1%1r
34.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
34.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
34.1%1a
34.1%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes11.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
Calls

5 calls:

2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
r
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
32.5%1r
32.5%1a
32.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.5%1b
32.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes25.0ms (0.2%)

Memory
-15.0MiB live, 23.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
Calls

5 calls:

17.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
r
2.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
32.4%1b
32.4%1r
32.4%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
32.4%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
32.4%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 b b) a)))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
Calls

5 calls:

1.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
1.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
1.0ms
b
1.0ms
r
1.0ms
a
Results
AccuracySegmentsBranch
17.0%1a
17.0%1b
17.0%1r
17.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
17.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.006970074704205771
0.020335888981805605
0.0ms
-0.08683255044385714
-0.07106516051539595
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.006970074704205771
0.020335888981805605
0.0ms
-0.08683255044385714
-0.07106516051539595
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch79.0ms (0.7%)

Memory
-29.7MiB live, 60.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
3.529808571641075e-11
1.0844991626692119e-8
50.0ms
-269256.5425899063
-0.3322421751658952
Samples
19.0ms130×1valid
18.0ms142×0valid
Compiler

Compiled 607 to 490 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 7.0ms (33.5% of total)
ival-sin: 4.0ms (19.1% of total)
ival-mult: 3.0ms (14.3% of total)
ival-add: 2.0ms (9.6% of total)
ival-div: 2.0ms (9.6% of total)
adjust: 2.0ms (9.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.529808571641075e-11
1.0844991626692119e-8
Compiler

Compiled 236 to 214 computations (9.3% saved)

simplify106.0ms (1%)

Memory
23.0MiB live, 58.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
099388
1136386
2171386
3221386
4271380
5357380
61160380
73312380
87315380
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3264099712959499/302231454903657293676544 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal 3264099712959499/302231454903657293676544 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a))))
(if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -5764607523034235/72057594037927936 binary64)) (not (<=.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal 5764607523034235/576460752303423488 binary64)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a)))))
(if (<=.f64 b #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 3264099712959499/302231454903657293676544 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -6124895493223875/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3264099712959499/302231454903657293676544 binary64)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b b) (*.f64 b #s(literal -1/6 binary64)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal 3264099712959499/302231454903657293676544 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 (/.f64 r #s(approx (cos (+ a b)) #s(approx (cos a) #s(literal 1 binary64)))) (sin.f64 b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 b b) a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) (fma.f64 (*.f64 a b) b b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) #s(approx (+ (* (* b b) (/ (sin a) (pow (cos a) 2))) (/ b (cos a))) #s(approx (+ (* (* b b) a) b) (*.f64 (*.f64 a b) b)))))

soundness1.7s (14.9%)

Memory
-21.6MiB live, 1 094.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058373
091386
1300321
22134321
08619318
04221817
113411709
242541631
082651525
04361806
113961709
243871620
082521503
0215844
1660792
22077734
37997734
08001693
03471344
110591259
233171199
081771117
0822
01322
14422
223422
3199922
01026022
041231
071247
1224198
21358192
08526192
058378
093375
1316333
22211327
08288320
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 775 to 390 computations (49.7% saved)

preprocess145.0ms (1.3%)

Memory
-0.2MiB live, 120.9MiB allocated
Remove

(negabs r)

Compiler

Compiled 930 to 308 computations (66.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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