rsin B (should all be same)

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze344.0ms (3.7%)

Memory
16.6MiB live, 392.6MiB allocated; 96ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (19.4%)

Memory
77.2MiB live, 1 937.1MiB allocated; 318ms collecting garbage
Samples
1.3s5 973×1valid
162.0ms2 283×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-cos: 354.0ms (31.9% of total)
ival-sin: 271.0ms (24.4% of total)
ival-mult: 169.0ms (15.2% of total)
adjust: 152.0ms (13.7% of total)
ival-add: 85.0ms (7.7% of total)
ival-div: 69.0ms (6.2% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain196.0ms (2.1%)

Memory
-64.7MiB live, 151.2MiB allocated; 128ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
62127(-1.2423408803333527e+278 -6.171822344168429e+63 3.435652740208975e-46)0-(cos.f64 (+.f64 a b))
00-0-(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-r
00-0-b
00-0-(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1890
Confusion
Predicted +Predicted -
+620
-12767
Precision
0.328042328042328
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-127067
Precision?
0.328042328042328
Recall?
1.0
Freqs
test
numberfreq
067
1189
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms372×1valid
14.0ms140×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-cos: 16.0ms (29.3% of total)
ival-sin: 11.0ms (20.2% of total)
adjust: 10.0ms (18.3% of total)
ival-div: 6.0ms (11% of total)
ival-mult: 6.0ms (11% of total)
ival-add: 5.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess120.0ms (1.3%)

Memory
10.5MiB live, 104.8MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03790
110188
220488
342588
476088
5160088
6332088
7624588
089
0139
1249
2419
3649
4779
5799
6939
71269
82319
95719
1015209
1133179
1267499
080219
Stop Event
iter limit
node limit
iter limit
node limit
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify73.0ms (0.8%)

Memory
29.8MiB live, 75.1MiB allocated; 4ms collecting garbage
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
12428
24128
36428
47728
57928
69328
712628
823128
957128
10152028
11331728
12674928
0802128
Stop Event
iter limit
node limit
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

localize46.0ms (0.5%)

Memory
2.0MiB live, 48.2MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.203125
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy13.300069647018017
(cos.f64 (+.f64 a b))
Samples
32.0ms186×1valid
6.0ms70×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-cos: 8.0ms (29.2% of total)
ival-sin: 6.0ms (21.9% of total)
adjust: 5.0ms (18.3% of total)
ival-add: 4.0ms (14.6% of total)
ival-mult: 3.0ms (11% of total)
ival-div: 2.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
-19.2MiB live, 29.6MiB allocated; 10ms collecting garbage
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
20.0ms
a
@0
((* 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
a
@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
r
@0
((* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (sin b) (cos (+ a b)))

simplify140.0ms (1.5%)

Memory
32.1MiB live, 120.0MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0215832
1696794
22437727
08298692
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 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (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 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (*.f64 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)))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 (*.f64 #s(literal 1/2 binary64) r) (/.f64 (sin.f64 b) (cos.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 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (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 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) a (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (sin.f64 b) (cos.f64 b)))))) 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)))) (+.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 b)) (cos.f64 b)))) 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 (sin.f64 b)) a (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 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) 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 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sin.f64 a) r) b) (cos.f64 a)) 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 (neg.f64 (sin.f64 a)) (/.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))))) (cos.f64 a)) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sin.f64 a) r)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (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 (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)
(* 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))))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (sin.f64 a)) (/.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)) (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 a)) (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 (cos.f64 a)))
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)) (-.f64 (*.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 (pow.f64 b #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #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 (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) b) (sin.f64 a)) 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))

rewrite182.0ms (1.9%)

Memory
-6.5MiB live, 174.6MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14622
226822
3287722
0830622
Stop Event
iter limit
node limit
iter limit
Counts
4 → 185
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 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.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))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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))
(*.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 (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 (neg.f64 (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(sin.f64 (neg.f64 (neg.f64 b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64)))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(-.f64 (*.f64 (cos.f64 b) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) b)) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (cos.f64 b) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))) (sin.f64 (-.f64 (+.f64 a b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 a)) (sin.f64 b))))))
(/.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))) (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))) (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))))
(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 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (cos.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (neg.f64 (-.f64 a b)))) (sin.f64 (/.f64 (*.f64 b b) (neg.f64 (-.f64 a b))))))
(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 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(fma.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (+.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) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
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(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))))
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(+.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 (+.f64 a b))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 a b)) (pow.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 a b) (*.f64 (-.f64 a b) #s(literal 2 binary64))) (*.f64 (-.f64 a b) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 a b) (PI.f64)) (*.f64 (-.f64 a b) #s(literal 2 binary64))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (PI.f64)) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a 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 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (+.f64 a b)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))

eval34.0ms (0.4%)

Memory
7.2MiB live, 52.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 380 to 1 052 computations (80.4% saved)

prune48.0ms (0.5%)

Memory
-0.5MiB live, 57.7MiB allocated; 29ms collecting garbage
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New18927216
Fresh000
Picked011
Done000
Total18928217
Accuracy
99.8%
Counts
217 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
80.1%
(*.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))))
78.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
30.8%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
8.4%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
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 a)) (sin.f64 b)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 a)) (sin.f64 b))))))))
79.0%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))))
42.4%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
40.9%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
78.3%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
79.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
59.2%
(*.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)))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
55.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
62.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
9.6%
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
78.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
58.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
53.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
53.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
53.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.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))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
62.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Compiler

Compiled 1 143 to 762 computations (33.3% saved)

simplify75.0ms (0.8%)

Memory
-25.7MiB live, 66.2MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
cost-diff4
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
cost-diff0
(neg.f64 (+.f64 (PI.f64) b))
cost-diff0
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
cost-diff3
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044302
079299
1135297
2223293
3404281
4854281
52071281
64509281
08259281
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 a)) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(neg.f64 (+.f64 (PI.f64) b))
(+.f64 (PI.f64) b)
(PI.f64)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
r
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(sin.f64 b)
b
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(neg.f64 (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(sin.f64 b)
(neg.f64 (+.f64 (PI.f64) b))
(+.f64 (PI.f64) b)
(PI.f64)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 (neg.f64 b) a)))
r
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 (sin.f64 b) (cos.f64 (-.f64 (neg.f64 b) a)))
(sin.f64 b)
b
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(cos.f64 (-.f64 (neg.f64 b) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a)))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))
(-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a))
(-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 a))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

localize369.0ms (4%)

Memory
41.0MiB live, 371.5MiB allocated; 47ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
accuracy0.1484375
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
accuracy0.203125
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
accuracy29.519282964000812
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
accuracy0.01171875
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
accuracy0.203125
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy41.43394716611497
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
accuracy0.203125
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
accuracy13.300069647018017
(cos.f64 (+.f64 a b))
accuracy59.782589045884414
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
accuracy0.00390625
(cos.f64 a)
accuracy0.10546875
(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy0.1328125
(/.f64 r (cos.f64 a))
accuracy29.438426832392764
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy0.11851503907376806
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
accuracy0.203125
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
accuracy0.21484375
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
Samples
206.0ms197×1valid
104.0ms57×2valid
1.0ms0valid
Compiler

Compiled 259 to 41 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-sin: 70.0ms (34.2% of total)
adjust: 36.0ms (17.6% of total)
ival-mult: 30.0ms (14.7% of total)
ival-cos: 27.0ms (13.2% of total)
ival-div: 17.0ms (8.3% of total)
ival-add: 12.0ms (5.9% of total)
ival-sub: 5.0ms (2.4% of total)
ival-neg: 5.0ms (2.4% of total)
ival-pi: 2.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series81.0ms (0.9%)

Memory
-4.2MiB live, 86.8MiB allocated; 13ms collecting garbage
Counts
22 → 142
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
(neg.f64 (+.f64 (PI.f64) b))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ 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 r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
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)))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos b))
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(/ (sin (neg (+ b (PI)))) (cos (+ a b)))
(sin (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(* -1 (* (sin a) (sin b)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a))))
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a))))
(sin (- (+ (* -1 a) (* 1/2 (PI))) b))
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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) (* -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))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(/ (* r (sin (neg (PI)))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(/ (sin (neg (PI))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(* -1 (PI))
(- (* -1 b) (PI))
(sin (- (* 1/2 (PI)) a))
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))
(/ (* b r) (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(/ b (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)))))))))
(* 1/2 (PI))
(+ (* -1 b) (* 1/2 (PI)))
(sin b)
(sin (neg (+ b (PI))))
(* -1 b)
(* b (- (* -1 (/ (PI) b)) 1))
(* b (- (* 1/2 (/ (PI) b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(sin (- (* -1 b) (PI)))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ (PI) b))))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
b
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
10.0ms
r
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
10.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
9.0ms
r
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))
8.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* r (/ (sin b) (cos (+ a b)))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (sin (neg (+ (PI) b))) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (neg (+ (PI) b)) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (neg (sin a)) (sin b)) (cos (+ a b)) (+ (neg b) (/ (PI) 2)) (* (* (cos a) -1/2) b))

simplify534.0ms (5.7%)

Memory
-78.7MiB live, 210.7MiB allocated; 771ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07253841
124403463
090103292
Stop Event
iter limit
node limit
Counts
142 → 140
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ 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 r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
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)))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos b))
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(/ (sin (neg (+ b (PI)))) (cos (+ a b)))
(sin (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(* -1 (* (sin a) (sin b)))
(* -1/2 (* b (cos a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a))))
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a))))
(sin (- (+ (* -1 a) (* 1/2 (PI))) b))
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 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) (* -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))))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(/ (* r (sin (neg (PI)))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(/ (sin (neg (PI))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(* -1 (PI))
(- (* -1 b) (PI))
(sin (- (* 1/2 (PI)) a))
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))
(/ (* b r) (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(/ b (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)))))))))
(* 1/2 (PI))
(+ (* -1 b) (* 1/2 (PI)))
(sin b)
(sin (neg (+ b (PI))))
(* -1 b)
(* b (- (* -1 (/ (PI) b)) 1))
(* b (- (* 1/2 (/ (PI) b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(sin (- (* -1 b) (PI)))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ (PI) b))))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) 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)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(/ r (cos a))
(/.f64 r (cos.f64 a))
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (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 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b)))) a (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (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)) (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 (-.f64 (*.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 (*.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)))) (sin.f64 b)) (cos.f64 b)))) (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 (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 a #s(literal -1/2 binary64)) (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 r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b r) #s(literal -5/24 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 (*.f64 (neg.f64 b) r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) (*.f64 b r))) (*.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 (neg.f64 r) #s(literal -5/24 binary64))) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
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 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(fma.f64 (*.f64 a r) (/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)))) r) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64))))) (/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) r) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
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(*.f64 (fma.f64 b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b)
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) b)
(+ (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 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 b) (sin.f64 a))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(*.f64 (fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/120 binary64) (*.f64 b b) #s(literal 1/6 binary64))) (*.f64 b b) (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 (sin.f64 a) (fma.f64 #s(literal 1/5040 binary64) (*.f64 b b) #s(literal -1/120 binary64))) (*.f64 b b) (*.f64 #s(literal 1/6 binary64) (sin.f64 a))) (*.f64 b b) (neg.f64 (sin.f64 a))) b)
(* 1/2 (PI))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(+ (* -1 b) (* 1/2 (PI)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)
(sin b)
(sin.f64 b)
(sin (neg (+ b (PI))))
(neg.f64 (neg.f64 (sin.f64 b)))
(* -1 b)
(neg.f64 b)
(* b (- (* -1 (/ (PI) b)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 (PI.f64)) b) #s(literal 1 binary64)) b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(sin (- (* -1 b) (PI)))
(neg.f64 (neg.f64 (sin.f64 b)))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))
(* -1 (* b (+ 1 (/ (PI) b))))
(neg.f64 (fma.f64 (/.f64 (PI.f64) b) b b))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a))))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64)))

rewrite218.0ms (2.3%)

Memory
15.1MiB live, 246.3MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044221
079194
1258193
21852181
08172181
Stop Event
iter limit
node limit
iter limit
Counts
22 → 343
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(sin.f64 (neg.f64 (+.f64 (PI.f64) b)))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b)))
(neg.f64 (+.f64 (PI.f64) b))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
Outputs
(*.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.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 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(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))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))
(sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 b)))
(sin.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) b))
(sin.f64 (+.f64 (neg.f64 (neg.f64 a)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (-.f64 (+.f64 (neg.f64 a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (-.f64 (neg.f64 (neg.f64 a)) (neg.f64 b)))
(cos.f64 (+.f64 (neg.f64 (neg.f64 a)) b))
(cos.f64 (+.f64 b (neg.f64 (neg.f64 a))))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(cos.f64 (-.f64 (+.f64 (neg.f64 a) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (*.f64 b b))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) b) (cos.f64 a))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b)
(*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 a) b))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 b (*.f64 #s(literal -1/2 binary64) (cos.f64 a)))

eval109.0ms (1.2%)

Memory
34.8MiB live, 124.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 12 891 to 2 348 computations (81.8% saved)

prune66.0ms (0.7%)

Memory
-13.7MiB live, 132.0MiB allocated; 23ms collecting garbage
Pruning

57 alts after pruning (54 fresh and 3 done)

PrunedKeptTotal
New41642458
Fresh101222
Picked235
Done101
Total42957486
Accuracy
99.9%
Counts
486 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
80.1%
(*.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))))
78.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
10.0%
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
30.8%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
8.4%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
44.1%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
18.7%
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
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 a)) (sin.f64 b)))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
59.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
66.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
63.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
79.0%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
41.0%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
55.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
59.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
62.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
9.6%
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
53.4%
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
54.2%
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
37.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
37.5%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.3%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
37.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
78.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
18.1%
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
53.9%
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
37.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
58.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
53.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
99.5%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
62.2%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
42.4%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
41.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
37.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
37.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
62.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
28.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
29.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
37.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 2 724 to 1 933 computations (29% saved)

simplify126.0ms (1.4%)

Memory
-20.7MiB live, 128.8MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
cost-diff0
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
cost-diff1
(+.f64 (neg.f64 b) (PI.f64))
cost-diff2
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
cost-diff0
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
cost-diff1
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
cost-diff3
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
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
053320
086305
1151302
2262292
3581288
41240287
53157287
67474287
08051283
Stop Event
iter limit
node limit
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)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
r
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
#s(literal -1/6 binary64)
b
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(+.f64 (neg.f64 b) (PI.f64))
(neg.f64 b)
b
(PI.f64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(neg.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)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) #s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)))
r
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b)))
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)))
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) b) b #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
(*.f64 #s(literal -1/6 binary64) b)
#s(literal -1/6 binary64)
b
#s(literal 0 binary64)
#s(literal 1 binary64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(sin.f64 b)
(+.f64 (neg.f64 b) (PI.f64))
(-.f64 (PI.f64) b)
(neg.f64 b)
b
(PI.f64)
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
(fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
(*.f64 (neg.f64 a) (sin.f64 b))
(neg.f64 a)

localize521.0ms (5.6%)

Memory
8.0MiB live, 443.1MiB allocated; 57ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.11851503907376806
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
accuracy0.203125
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
accuracy31.101029711544715
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
accuracy0.203125
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
accuracy13.300069647018017
(cos.f64 (+.f64 a b))
accuracy59.90426780725185
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
accuracy0.203125
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
accuracy0.296875
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
accuracy13.300069647018017
(cos.f64 (+.f64 a b))
accuracy29.598441873188246
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)))
accuracy0.0
(*.f64 b r)
accuracy22.455729770484574
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy29.438426832392764
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy0.0703125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.11851503907376808
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
accuracy0.203125
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
249.0ms197×1valid
130.0ms57×2valid
1.0ms0valid
Compiler

Compiled 262 to 48 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-sin: 147.0ms (43.5% of total)
ival-div: 40.0ms (11.8% of total)
adjust: 40.0ms (11.8% of total)
ival-mult: 37.0ms (11% of total)
ival-cos: 34.0ms (10.1% of total)
ival-add: 18.0ms (5.3% of total)
const: 14.0ms (4.1% of total)
ival-neg: 6.0ms (1.8% of total)
ival-pi: 2.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series51.0ms (0.5%)

Memory
28.6MiB live, 72.9MiB allocated; 6ms collecting garbage
Counts
22 → 127
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)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(+.f64 (neg.f64 b) (PI.f64))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)))
(cos.f64 (+.f64 a b))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/ (* r (sin (- (PI) 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))))))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos b))
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(/ (* r (sin (- (PI) b))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(/ (sin (- (PI) b)) (cos b))
(+ (/ (sin (- (PI) b)) (cos b)) (/ (* a (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(+ (cos 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 (* 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)))))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos (+ a b)))
(/ (sin (- (PI) b)) (cos (+ a b)))
(* (cos a) (cos b))
(cos (+ a b))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a))))
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a))))
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a))))
(/ (sin (- (PI) b)) (cos (- b (* -1 a))))
(cos (- b (* -1 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 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(* -1/6 b)
(/ (* r (sin (neg (PI)))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(/ (sin (neg (PI))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(sin (PI))
(+ (sin (PI)) (* -1 (* b (cos (PI)))))
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI)))))))
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI)))))))))
(PI)
(+ (PI) (* -1 b))
(/ (* r (sin (PI))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(/ (sin (PI)) (cos a))
(+ (* b (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (PI)) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(+ (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)))))))))
(sin b)
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(sin (- (PI) b))
(* -1 b)
(* b (- (/ (PI) b) 1))
(sin (neg (+ b (PI))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(sin (+ (PI) (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b))))
(sin (- (* -1 b) (PI)))
(cos (- a (* -1 b)))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
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)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b)))
6.0ms
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)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b)))
6.0ms
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)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b)))
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)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b)))
5.0ms
r
@0
((* 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)))) (* (/ r (cos a)) b) (* b r) (+ (* (+ (* (+ (* -1/6 b) 0) b) 1) b) 0) (+ (* -1/6 b) 0) (* r (/ (sin (neg (+ (PI) b))) (cos (+ a b)))) (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (sin (+ (neg b) (PI))) (+ (neg b) (PI)) (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (* (cos b) (cos a)) (sin (neg (+ (PI) b))) (cos (+ a b)) (* (neg (sin a)) (sin b)))

simplify271.0ms (2.9%)

Memory
-35.8MiB live, 148.2MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06663250
123352538
085212377
Stop Event
iter limit
node limit
Counts
127 → 126
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/ (* r (sin (- (PI) 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))))))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(/ (* r (sin (neg (+ b (PI))))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (neg (+ b (PI))))))) (pow (cos b) 2)) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (neg (+ b (PI)))))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (neg (+ b (PI))))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2))))) (/ (* r (sin (neg (+ b (PI))))) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos b))
(+ (/ (sin (neg (+ b (PI)))) (cos b)) (/ (* a (* (sin b) (sin (neg (+ b (PI)))))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (neg (+ b (PI))))) (pow (cos b) 3))) (* -1/2 (/ (sin (neg (+ b (PI)))) (cos b)))))) (* -1 (/ (* (sin b) (sin (neg (+ b (PI))))) (pow (cos b) 2))))) (/ (sin (neg (+ b (PI)))) (cos b)))
(/ (* r (sin (- (PI) b))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(/ (sin (- (PI) b)) (cos b))
(+ (/ (sin (- (PI) b)) (cos b)) (/ (* a (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (+ (* 1/6 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* (pow (sin b) 2) (sin (- (PI) b))) (pow (cos b) 3))) (* -1/2 (/ (sin (- (PI) b)) (cos b)))))) (* -1 (/ (* (sin b) (sin (- (PI) b))) (pow (cos b) 2))))) (/ (sin (- (PI) b)) (cos b)))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(+ (cos 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 (* 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)))))))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (sin (neg (+ b (PI)))) (cos (+ a b)))
(/ (sin (- (PI) b)) (cos (+ a b)))
(* (cos a) (cos b))
(cos (+ a b))
(* -1 (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin (neg (+ b (PI))))) (cos (- b (* -1 a))))
(/ (sin (neg (+ b (PI)))) (cos (- b (* -1 a))))
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a))))
(/ (sin (- (PI) b)) (cos (- b (* -1 a))))
(cos (- b (* -1 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 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(* -1/6 b)
(/ (* r (sin (neg (PI)))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (neg (PI)))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (neg (PI)))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (neg (PI))))) (pow (cos a) 2))))) (/ (* r (sin (neg (PI)))) (cos a)))
(/ (sin (neg (PI))) (cos a))
(+ (* b (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (neg (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (neg (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (neg (PI))) (cos a))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (neg (PI)))) (pow (cos a) 2))))) (/ (sin (neg (PI))) (cos a)))
(sin (PI))
(+ (sin (PI)) (* -1 (* b (cos (PI)))))
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* -1/2 (* b (sin (PI)))))))
(+ (sin (PI)) (* b (+ (* -1 (cos (PI))) (* b (+ (* -1/2 (sin (PI))) (* 1/6 (* b (cos (PI)))))))))
(PI)
(+ (PI) (* -1 b))
(/ (* r (sin (PI))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(/ (sin (PI)) (cos a))
(+ (* b (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (* b (- (+ (* -1 (/ (cos (PI)) (cos a))) (* b (- (* b (- (* 1/6 (/ (cos (PI)) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (* 1/6 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (cos (PI)) (cos a))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* (sin a) (sin (PI))) (pow (cos a) 2))))) (/ (sin (PI)) (cos a)))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(sin (neg (PI)))
(+ (sin (neg (PI))) (* -1 (* b (cos (neg (PI))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* -1/2 (* b (sin (neg (PI))))))))
(+ (sin (neg (PI))) (* b (+ (* -1 (cos (neg (PI)))) (* b (+ (* -1/2 (sin (neg (PI)))) (* 1/6 (* b (cos (neg (PI))))))))))
(+ (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)))))))))
(sin b)
(* -1/6 (pow b 3))
(* (pow b 3) (- (/ 1 (pow b 2)) 1/6))
(sin (- (PI) b))
(* -1 b)
(* b (- (/ (PI) b) 1))
(sin (neg (+ b (PI))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* (pow b 3) (- 1/6 (/ 1 (pow b 2)))))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(sin (+ (PI) (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b))))
(sin (- (* -1 b) (PI)))
(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)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b r)
(*.f64 b r)
(/ (* r (sin (neg (+ b (PI))))) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin (- (PI) b))) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.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 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 3 binary64)))
(/ (* r (sin (- (* -1 b) (PI)))) (cos (- a (* -1 b))))
(*.f64 (sin.f64 (-.f64 (neg.f64 b) (PI.f64))) (/.f64 r (cos.f64 (+.f64 a b))))
(/ (sin (- (* -1 b) (PI))) (cos (- a (* -1 b))))
(/.f64 (sin.f64 (-.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
(sin (+ (PI) (* -1 b)))
(sin.f64 (-.f64 (PI.f64) b))
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b)))
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b)))
(/ (sin (+ (PI) (* -1 b))) (cos (- a (* -1 b))))
(/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 (+.f64 a b)))
(sin (- (* -1 b) (PI)))
(sin.f64 (-.f64 (neg.f64 b) (PI.f64)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite181.0ms (1.9%)

Memory
48.2MiB live, 230.3MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053261
086266
1283221
21974221
08749221
Stop Event
iter limit
node limit
iter limit
Counts
22 → 522
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)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 b) (PI.f64)))
(+.f64 (neg.f64 b) (PI.f64))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
(fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64)))
(cos.f64 (+.f64 a b))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (sin.f64 b)) r) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (neg.f64 (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) r)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(+.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (cos.f64 (+.f64 a b))))
(sin.f64 b)
(/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 a) (neg.f64 b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 (neg.f64 b) (neg.f64 a)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 (neg.f64 a) b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (+.f64 a b)) (cos.f64 (+.f64 (neg.f64 a) b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b (+.f64 (PI.f64) a))) (cos.f64 (+.f64 b (+.f64 (PI.f64) a)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (+.f64 (PI.f64) a) b)) (cos.f64 (+.f64 (+.f64 (PI.f64) a) b))))) #s(literal 4 binary64))
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(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 a b))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 a) b) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 b (neg.f64 a)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 (neg.f64 b) a) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (-.f64 a (neg.f64 b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 a b)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (neg.f64 b)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))
(sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (neg.f64 a)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))
(sin.f64 (+.f64 b (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a))))) (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a a (*.f64 b (-.f64 b a)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)))))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))
(-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (cos.f64 b)) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (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 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
#s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))

eval165.0ms (1.8%)

Memory
-47.9MiB live, 161.7MiB allocated; 43ms collecting garbage
Compiler

Compiled 15 386 to 2 504 computations (83.7% saved)

prune120.0ms (1.3%)

Memory
-12.3MiB live, 138.1MiB allocated; 15ms collecting garbage
Pruning

70 alts after pruning (64 fresh and 6 done)

PrunedKeptTotal
New48029509
Fresh143549
Picked235
Done033
Total49670566
Accuracy
99.9%
Counts
566 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
79.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
53.4%
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
80.1%
(*.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))))
78.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
79.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
78.9%
(*.f64 r (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))))
46.4%
(*.f64 r (/.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (cos.f64 (+.f64 a b))))
64.6%
(*.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b))))
8.2%
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
9.7%
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b))))
8.3%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
30.8%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
44.1%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
30.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
8.4%
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
18.7%
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
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)))))
54.5%
(*.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 (*.f64 #s(literal -1/2 binary64) b) 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 a)) (sin.f64 b)))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
59.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
66.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
63.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
79.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
41.0%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
55.8%
(*.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)))))
59.8%
(*.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)))))
62.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
9.6%
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
54.2%
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
11.5%
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b))))
37.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
37.5%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.3%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
37.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
78.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
7.8%
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
53.9%
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
37.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
58.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
53.9%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
8.4%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))))
18.1%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 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)))))
62.1%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
62.2%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
42.4%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
41.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
37.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
37.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
28.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
29.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
37.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 3 450 to 2 389 computations (30.8% saved)

simplify111.0ms (1.2%)

Memory
45.1MiB live, 185.8MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
cost-diff0
(*.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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
cost-diff0
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
cost-diff1
(+.f64 (PI.f64) (neg.f64 b))
cost-diff5
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)))
cost-diff0
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
cost-diff1
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff2
(*.f64 b (*.f64 b b))
cost-diff3
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
cost-diff0
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
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: 5 (0.0ms)

IterNodesCost
070469
0113449
1196435
2379435
3953423
42300423
54538420
08020420
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)
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
r
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
(fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
r
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)))
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))
(neg.f64 (+.f64 (PI.f64) (neg.f64 b)))
(+.f64 (PI.f64) (neg.f64 b))
(PI.f64)
(neg.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(cos.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)))))
#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)
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 (/.f64 r (cos.f64 (-.f64 (neg.f64 b) a))) #s(approx (sin b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)))
r
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(/.f64 #s(approx (sin b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)) (cos.f64 (-.f64 (neg.f64 b) a)))
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
#s(approx (sin b) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))
(fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)
(*.f64 b (*.f64 b b))
(pow.f64 b #s(literal 3 binary64))
b
(*.f64 b b)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b)
(*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(cos.f64 (-.f64 (neg.f64 b) a))
(-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)
(-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a)
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b)
(neg.f64 b)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
a
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
r
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)))
(sin.f64 b)
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))
(+.f64 (+.f64 (neg.f64 (PI.f64)) (PI.f64)) b)
(neg.f64 (+.f64 (PI.f64) (neg.f64 b)))
(neg.f64 (-.f64 (PI.f64) b))
(+.f64 (PI.f64) (neg.f64 b))
(-.f64 (PI.f64) b)
(PI.f64)
(neg.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #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 (sin.f64 b) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#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 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(cos.f64 a)

localize397.0ms (4.3%)

Memory
5.8MiB live, 479.1MiB allocated; 52ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.11851503907376808
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
accuracy0.13671875
(*.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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
accuracy0.203125
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
accuracy29.505821066852594
#s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))
accuracy0.13671875
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
accuracy0.203125
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
accuracy13.300069647018017
(cos.f64 (+.f64 a b))
accuracy31.217018591244553
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))
accuracy0.203125
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
accuracy0.46571421286943904
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
accuracy29.502533022467976
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
accuracy41.43394716611497
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
accuracy52.38491218880359
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
accuracy0.0703125
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.11851503907376808
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.1328125
(*.f64 (sin.f64 b) r)
accuracy0.234375
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
268.0ms217×1valid
69.0ms37×2valid
1.0ms0valid
Compiler

Compiled 365 to 59 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 288.0ms
ival-sin: 69.0ms (23.9% of total)
adjust: 63.0ms (21.9% of total)
ival-mult: 48.0ms (16.6% of total)
ival-cos: 29.0ms (10.1% of total)
ival-add: 25.0ms (8.7% of total)
ival-div: 22.0ms (7.6% of total)
const: 14.0ms (4.9% of total)
ival-sub: 10.0ms (3.5% of total)
ival-neg: 5.0ms (1.7% of total)
ival-pi: 2.0ms (0.7% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.6%)

Memory
-42.3MiB live, 59.0MiB allocated; 14ms collecting garbage
Counts
24 → 116
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)
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(*.f64 b (*.f64 b b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)))
(+.f64 (PI.f64) (neg.f64 b))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
(*.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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))
(cos.f64 (+.f64 a 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)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin (- (PI) b))) (cos (+ a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a 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)))
(/ (* r (sin (- (PI) b))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) 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))))))))
(+ (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)))))))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(cos (+ a b))
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a))))
(sin (- (+ (* -1 a) (* 1/2 (PI))) b))
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(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 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
(* 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))))
(/ (* r (sin (PI))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(sin (- (* 1/2 (PI)) a))
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))
(pow b 3)
(* 1/2 (PI))
(+ (* -1 b) (* 1/2 (PI)))
(/ (* b r) (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(PI)
(+ (PI) (* -1 b))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (cos a) (* -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)))))))
1/120
(+ 1/120 (* -1/5040 (pow b 2)))
(/ b (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)
(* -1 b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(* b (- (/ (PI) b) 1))
(* -1/5040 (pow b 2))
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(sin (neg (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b))))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(cos (- a (* -1 b)))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
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 (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* 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))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a)))
10.0ms
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 (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* 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))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a)))
5.0ms
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 (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* 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))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a)))
4.0ms
r
@0
((* 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 (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* 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))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a)))
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 (+ (neg b) (PI))) (cos (+ a b)))) (sin (- (+ (neg b) (/ (PI) 2)) a)) (* b (* b b)) (+ (neg b) (/ (PI) 2)) (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (sin (+ (neg (+ (PI) (neg b))) (PI))) (+ (PI) (neg b)) (* r (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b)))) (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (* 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))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (sin b) (+ (* -1/5040 (* b b)) 1/120) (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (+ (neg (+ (PI) (neg b))) (PI)) (cos (+ a b)) (* (cos b) (cos a)))

simplify175.0ms (1.9%)

Memory
42.5MiB live, 227.3MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05783019
119502744
274702726
080802597
Stop Event
iter limit
node limit
Counts
116 → 115
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin (- (PI) b))) (cos (+ a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a 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)))
(/ (* r (sin (- (PI) b))) (cos b))
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(sin (- (* 1/2 (PI)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) 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))))))))
(+ (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)))))))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) 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 (- (* 1/2 (PI)) (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(/ (sin b) (sin (- (* 1/2 (PI)) (+ a b))))
(cos (+ a b))
(/ (* r (sin (- (PI) b))) (cos (- b (* -1 a))))
(sin (- (+ (* -1 a) (* 1/2 (PI))) b))
(/ (* r (sin b)) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (sin (- (+ (* -1 a) (* 1/2 (PI))) b)))
(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 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
(* 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))))
(/ (* r (sin (PI))) (cos a))
(+ (* b (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (/ (* b (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2)))))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(+ (* b (- (+ (* -1 (/ (* r (cos (PI))) (cos a))) (* b (- (* b (- (* 1/6 (/ (* r (cos (PI))) (cos a))) (+ (* -1 (/ (* (pow (sin a) 2) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (pow (cos a) 2))) (+ (* -1/2 (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (* 1/6 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))))) (* -1 (/ (* (sin a) (- (* -1 (/ (* r (cos (PI))) (cos a))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (cos a)))))) (* -1 (/ (* r (* (sin a) (sin (PI)))) (pow (cos a) 2))))) (/ (* r (sin (PI))) (cos a)))
(sin (- (* 1/2 (PI)) a))
(+ (sin (- (* 1/2 (PI)) a)) (* -1 (* b (cos (- (* 1/2 (PI)) a)))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* -1/2 (* b (sin (- (* 1/2 (PI)) a)))))))
(+ (sin (- (* 1/2 (PI)) a)) (* b (+ (* -1 (cos (- (* 1/2 (PI)) a))) (* b (+ (* -1/2 (sin (- (* 1/2 (PI)) a))) (* 1/6 (* b (cos (- (* 1/2 (PI)) a)))))))))
(pow b 3)
(* 1/2 (PI))
(+ (* -1 b) (* 1/2 (PI)))
(/ (* b r) (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ r (sin (- (* 1/2 (PI)) a))) (/ (* b (* r (cos (- (* 1/2 (PI)) a)))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* -1/6 (/ r (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* -1/6 (/ r (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (* r (pow (cos (- (* 1/2 (PI)) a)) 2)) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* -1/2 (/ r (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (* r (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ r (sin (- (* 1/2 (PI)) a)))))
(PI)
(+ (PI) (* -1 b))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(+ (cos a) (* -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)))))))
1/120
(+ 1/120 (* -1/5040 (pow b 2)))
(/ b (sin (- (* 1/2 (PI)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) 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)
(* -1 b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(* b (- (/ (PI) b) 1))
(* -1/5040 (pow b 2))
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(sin (neg (* -1 b)))
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b))))
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b))))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(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 a) (cos.f64 b))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin (- (PI) b))) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) (+ a b))))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(/ (* 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)))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (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 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.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 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(/ (* r (sin (- (PI) b))) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (* (sin b) (sin (- (PI) b))))) (pow (cos b) 2)) (/ (* r (sin (- (PI) b))) (cos b)))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) a) (cos.f64 b))) (cos.f64 b))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (* (pow (sin b) 2) (sin (- (PI) b)))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin (- (PI) b))) (cos b)))))) (* -1 (/ (* r (* (sin b) (sin (- (PI) b)))) (pow (cos b) 2))))) (/ (* r (sin (- (PI) b))) (cos b)))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64) (*.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.f64 b))) (/.f64 (sin.f64 b) (cos.f64 b))))) (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (cos.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 (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(sin (- (* 1/2 (PI)) b))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))
(+ (sin (- (* 1/2 (PI)) b)) (* -1 (* a (cos (- (* 1/2 (PI)) b)))))
(fma.f64 (neg.f64 a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* -1/2 (* a (sin (- (* 1/2 (PI)) b)))))))
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (sin (- (* 1/2 (PI)) b)) (* a (+ (* -1 (cos (- (* 1/2 (PI)) b))) (* a (+ (* -1/2 (sin (- (* 1/2 (PI)) b))) (* 1/6 (* a (cos (- (* 1/2 (PI)) b)))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal -1/2 binary64))) a (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) a (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (/ (* a (* r (* (cos (- (* 1/2 (PI)) b)) (sin b)))) (pow (sin (- (* 1/2 (PI)) b)) 2)) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(/.f64 (fma.f64 (sin.f64 b) r (/.f64 (*.f64 (*.f64 a r) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(fma.f64 (fma.f64 (*.f64 r (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) (*.f64 (neg.f64 a) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (+ (* 1/6 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))) (/ (* (cos (- (* 1/2 (PI)) b)) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b)))))) (sin (- (* 1/2 (PI)) b))))))) (+ (* -1 (/ (* r (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* r (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (* r (sin b)) (sin (- (* 1/2 (PI)) b))))
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) #s(literal -1/3 binary64)))) (fma.f64 (neg.f64 r) (/.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))) a (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (*.f64 (sin.f64 b) r)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (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 (neg.f64 a) (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)) (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 (-.f64 (*.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 (/.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 (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 a #s(literal -1/2 binary64)) (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 a (sin.f64 b)) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #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 (cos.f64 b) (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64))) (*.f64 a a) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (*.f64 a a) (cos.f64 b))
(/ (sin b) (sin (- (* 1/2 (PI)) b)))
(/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (/ (sin b) (sin (- (* 1/2 (PI)) b))) (/ (* a (* (cos (- (* 1/2 (PI)) b)) (sin b))) (pow (sin (- (* 1/2 (PI)) b)) 2)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 a (sin.f64 b)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))) (sin.f64 b)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (pow (cos (- (* 1/2 (PI)) b)) 2) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 3))) (* -1/2 (/ (sin b) (sin (- (* 1/2 (PI)) b))))))) (* -1 (/ (* (cos (- (* 1/2 (PI)) b)) (sin b)) (pow (sin (- (* 1/2 (PI)) b)) 2))))) (/ (sin b) (sin (- (* 1/2 (PI)) b))))
(fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (neg.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))) (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) (sin.f64 b)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
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(fma.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) 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 (neg.f64 (sin.f64 a)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a)))) (cos.f64 a)) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (fma.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(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 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (fma.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a) (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) (* -1/2 (* (pow b 2) (cos a))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) 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 #s(literal 1/24 binary64) (*.f64 b b) #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 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))) (*.f64 b b) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) (*.f64 b b) (cos.f64 a))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow b 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
(/ b (sin (- (* 1/2 (PI)) a)))
(/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))
(* b (+ (/ 1 (sin (- (* 1/2 (PI)) a))) (/ (* b (cos (- (* 1/2 (PI)) a))) (pow (sin (- (* 1/2 (PI)) a)) 2))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) b) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) #s(literal 1 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) b)
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (cos (- (* 1/2 (PI)) a)) (- (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a)))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (sin (- (* 1/2 (PI)) a)))) (+ (* -1/2 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))) (* 1/6 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))))) (* 1/2 (/ 1 (sin (- (* 1/2 (PI)) a))))) (+ (* -1 (/ (pow (cos (- (* 1/2 (PI)) a)) 2) (pow (sin (- (* 1/2 (PI)) a)) 3))) (* 1/6 (/ 1 (sin (- (* 1/2 (PI)) a))))))) (* -1 (/ (cos (- (* 1/2 (PI)) a)) (pow (sin (- (* 1/2 (PI)) a)) 2))))) (/ 1 (sin (- (* 1/2 (PI)) a)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64))) #s(literal -1/3 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))) b (/.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) (pow.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.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 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(sin b)
(sin.f64 b)
(* -1 b)
(neg.f64 b)
(* b (- (* 1/2 (/ (PI) b)) 1))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) b) #s(literal 1/2 binary64)) #s(literal 1 binary64)) b)
(* b (- (/ (PI) b) 1))
(*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b)
(* -1/5040 (pow b 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 b b))
(* (pow b 2) (- (* 1/120 (/ 1 (pow b 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/5040 binary64)) b) b)
(/ (* r (sin (+ (PI) (* -1 b)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(sin (- (+ (* -1 b) (* 1/2 (PI))) a))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b)))
(* -1 (* b (+ 1 (* -1/2 (/ (PI) b)))))
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (PI.f64) b) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/ (* r (sin b)) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(sin (neg (* -1 b)))
(sin.f64 b)
(* -1 (* b (+ 1 (* -1 (/ (PI) b)))))
(*.f64 (neg.f64 b) (-.f64 #s(literal 1 binary64) (/.f64 (PI.f64) b)))
(/ (* r (sin (neg (* -1 b)))) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin (neg (* -1 b))) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (sin (- (+ (* -1 b) (* 1/2 (PI))) a)))
(/.f64 (sin.f64 b) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 a) b))))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite245.0ms (2.6%)

Memory
10.2MiB live, 244.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070337
0113330
1398263
22718263
08490263
Stop Event
iter limit
node limit
iter limit
Counts
24 → 623
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)
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
(sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))
(*.f64 b (*.f64 b b))
(+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64)))
(+.f64 (PI.f64) (neg.f64 b))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b)))
(*.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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a)))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
#s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))
(/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a)))
(+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))
(cos.f64 (+.f64 a 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)))
Outputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) 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)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.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))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))
(fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) r))
(fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) r))
(fma.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 r (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))))
(fma.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 r (*.f64 #s(literal 0 binary64) (cos.f64 b))))
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) r))
(+.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) r) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) r))
(+.f64 (*.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 r (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))))
(+.f64 (*.f64 r (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 r (*.f64 #s(literal 0 binary64) (cos.f64 b))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (sin.f64 b))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))))) (sin.f64 b))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b))))))
(/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (neg.f64 (cos.f64 b)) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b))) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 b)))))))
(neg.f64 (neg.f64 (sin.f64 b)))
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(fma.f64 (sin.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (cos.f64 b) (*.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (PI.f64)))) (sin.f64 b)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 a))) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 b)) (neg.f64 (sin.f64 a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (neg.f64 (-.f64 (neg.f64 b) a)))
(cos.f64 (neg.f64 (-.f64 a (neg.f64 b))))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 a b)))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 a) b)))
(cos.f64 (neg.f64 (-.f64 b (neg.f64 a))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))))
(cos.f64 (+.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(cos.f64 (neg.f64 (neg.f64 (+.f64 a b))))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)))
(cos.f64 (-.f64 (neg.f64 a) b))
(cos.f64 (-.f64 a (neg.f64 b)))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 b (neg.f64 a)))
(cos.f64 (neg.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (sin.f64 (neg.f64 (+.f64 a b))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (cos.f64 b)) (*.f64 (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a)) (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (-.f64 (neg.f64 b) a))))
(+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))) (/.f64 (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 (neg.f64 a) b)) (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) (*.f64 (cos.f64 b) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))))
(+.f64 (*.f64 (sin.f64 (+.f64 a b)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (neg.f64 (neg.f64 (cos.f64 b))) (cos.f64 a)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.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)))

eval188.0ms (2%)

Memory
-14.0MiB live, 277.2MiB allocated; 50ms collecting garbage
Compiler

Compiled 30 332 to 3 259 computations (89.3% saved)

prune89.0ms (1%)

Memory
-0.2MiB live, 191.7MiB allocated; 15ms collecting garbage
Pruning

76 alts after pruning (67 fresh and 9 done)

PrunedKeptTotal
New69813711
Fresh55459
Picked235
Done066
Total70576781
Accuracy
99.9%
Counts
781 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b)))))
79.0%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
54.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (cos.f64 a))))
53.4%
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
80.1%
(*.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))))
78.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
79.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
78.9%
(*.f64 r (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))))
46.4%
(*.f64 r (/.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (cos.f64 (+.f64 a b))))
64.6%
(*.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b))))
8.2%
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
9.7%
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (cos.f64 (+.f64 a b))))
8.3%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
44.1%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b))))
30.8%
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
43.7%
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b))))
30.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
8.6%
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
8.4%
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
18.7%
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
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)))))
54.5%
(*.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 (*.f64 #s(literal -1/2 binary64) b) 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 a)) (sin.f64 b)))))
56.4%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
59.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
66.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
63.1%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
79.7%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))))
41.2%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
41.0%
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
55.8%
(*.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)))))
59.8%
(*.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)))))
62.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
57.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
41.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
54.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
9.6%
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
54.2%
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
11.5%
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b))))
37.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
53.3%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
37.5%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.3%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
37.4%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
53.6%
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
78.9%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a))))
58.4%
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
53.9%
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
7.8%
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
37.7%
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
53.9%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
8.4%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))))
62.1%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
18.1%
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
66.8%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
85.0%
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (sin.f64 b)) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
74.1%
#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)) (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (*.f64 (cos.f64 b) (cos.f64 a)))))
80.1%
#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 (-.f64 (neg.f64 b) (PI.f64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
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)))))
54.2%
#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)))))
62.2%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
42.4%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
41.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
37.7%
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
37.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
53.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
36.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
36.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
28.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
29.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
37.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 5 008 to 2 056 computations (58.9% saved)

regimes157.0ms (1.7%)

Memory
-14.3MiB live, 307.7MiB allocated; 29ms collecting garbage
Counts
112 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.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 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.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) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.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 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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 b) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.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 (-.f64 (neg.f64 b) (PI.f64))) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)) (cos.f64 b))))
(*.f64 r (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64))))
(*.f64 r (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (sin.f64 b)))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))) (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) (cos (+ a b)))) (*.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))
(*.f64 r (/.f64 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 b)))))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 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))))
#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)) (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.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 (/.f64 (fma.f64 (pow.f64 (neg.f64 (sin.f64 b)) #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (pow.f64 (cos.f64 b) #s(literal 3 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 b)) (*.f64 #s(literal 0 binary64) (cos.f64 b))) (*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.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) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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 a)) (sin.f64 b))))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (neg.f64 (sin.f64 a))))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (+.f64 (neg.f64 a) b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
Calls

5 calls:

35.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
30.0ms
b
29.0ms
a
28.0ms
r
28.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes151.0ms (1.6%)

Memory
-13.3MiB live, 192.6MiB allocated; 28ms collecting garbage
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.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 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.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) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.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 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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 b) (cos.f64 a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.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:

45.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
30.0ms
b
25.0ms
r
23.0ms
a
22.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1r
99.5%1a
99.5%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes127.0ms (1.4%)

Memory
19.3MiB live, 164.8MiB allocated; 10ms collecting garbage
Counts
91 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.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 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 #s(approx (neg (+ (PI) b)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 (sin.f64 (-.f64 (PI.f64) b)) r) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 #s(approx (+ (neg b) (PI)) (-.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (sin (- (+ (neg b) (/ (PI) 2)) a)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) a))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (PI.f64) b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 (+.f64 (PI.f64) (+.f64 a b)) (PI.f64)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) b) (PI.f64))) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 (sin.f64 b) r) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 b) a)))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) b) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 b)) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a) b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b) a))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 (sin.f64 (+.f64 (neg.f64 #s(approx (+ (PI) (neg b)) (*.f64 (-.f64 (/.f64 (PI.f64) b) #s(literal 1 binary64)) b))) (PI.f64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 b))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 #s(approx (* (* (cos a) -1/2) b) (*.f64 #s(literal -1/2 binary64) b)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (sin.f64 a) b) (cos.f64 a)) #s(literal 1 binary64)) (cos.f64 a)) b)))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b) #s(literal 3 binary64)))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.f64 b))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (neg.f64 a) (sin.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) #s(literal -1/2 binary64)) b) (sin.f64 a)) b (cos.f64 a)))))
(*.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 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 a)) b) (sin.f64 a)) b (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 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin a)) (sin b)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (PI.f64) (PI.f64) (*.f64 (PI.f64) b))))) (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 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b))))))
(*.f64 r (/.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 b b) (*.f64 (neg.f64 (PI.f64)) (neg.f64 b)))))) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (+.f64 a b)) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))) (sin.f64 (-.f64 a (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) b))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

28.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
26.0ms
b
26.0ms
r
22.0ms
a
21.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
79.0%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
79.0%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
79.0%1r
79.0%1a
79.0%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes59.0ms (0.6%)

Memory
10.3MiB live, 107.1MiB allocated; 11ms collecting garbage
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.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 (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin (+ (neg b) (PI))) (cos (+ a b))) (/.f64 (sin.f64 (-.f64 (PI.f64) b)) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
Calls

5 calls:

14.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
14.0ms
a
10.0ms
r
10.0ms
b
10.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
66.2%3r
78.1%3a
65.4%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
78.9%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
79.0%3b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes11.0ms (0.1%)

Memory
-22.0MiB live, 24.9MiB allocated; 1ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.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))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
79.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
79.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes47.0ms (0.5%)

Memory
-4.4MiB live, 42.1MiB allocated; 2ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (+.f64 #s(literal 0 binary64) b)) (cos.f64 (+.f64 a b))))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (fma.f64 (fma.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 0 binary64)) b #s(literal 0 binary64)))
#s(approx (* r (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a)))) (/.f64 (*.f64 b r) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a))))
(*.f64 r #s(approx (/ (sin b) (sin (- (+ (neg b) (/ (PI) 2)) a))) (/.f64 b (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) a)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) a))) b))
(/.f64 (*.f64 #s(approx (sin (neg (+ (PI) b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) r) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 #s(approx (sin (neg (+ (PI) b))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) b #s(literal 0 binary64)) b #s(literal 1 binary64)) b #s(literal 0 binary64))) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 #s(approx (sin b) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 b b)) #s(literal 1/6 binary64)) (*.f64 b b) #s(literal 1 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* -1/5040 (* b b)) 1/120) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 #s(approx (+ (neg b) (/ (PI) 2)) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) b)) a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (sin.f64 (-.f64 (+.f64 (neg.f64 b) (/.f64 (PI.f64) #s(literal 2 binary64))) a))))
Outputs
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

16.0ms
a
7.0ms
r
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
b
7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
54.2%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
54.2%1r
54.2%1a
54.2%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
54.2%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes22.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (neg (+ (PI) b))) (cos (+ a b))) (/.f64 #s(literal 0 binary64) (cos.f64 a))))
(*.f64 r #s(approx (/ (sin (+ (neg (+ (PI) (neg b))) (PI))) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Calls

5 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
b
4.0ms
a
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
53.9%1b
53.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.9%1a
53.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
53.9%1r
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes21.0ms (0.2%)

Memory
-16.0MiB live, 30.9MiB allocated; 2ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
Calls

5 calls:

8.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
r
3.0ms
b
Results
AccuracySegmentsBranch
53.9%1a
53.9%1b
53.9%1r
53.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
53.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes34.0ms (0.4%)

Memory
-22.8MiB live, 27.2MiB allocated; 6ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

22.0ms
b
3.0ms
a
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
r
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
53.9%1a
53.9%1b
53.9%1r
53.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
53.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes13.0ms (0.1%)

Memory
30.1MiB live, 30.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 a) a) r) #s(literal -5/24 binary64) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a a)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) a) a) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Calls

5 calls:

3.0ms
b
2.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
2.0ms
r
2.0ms
a
2.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
37.3%1a
37.3%1b
37.3%1r
37.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
37.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes8.0ms (0.1%)

Memory
-25.0MiB live, 20.3MiB allocated; 2ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
Outputs
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
Calls

5 calls:

3.0ms
r
1.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
1.0ms
a
1.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
1.0ms
b
Results
AccuracySegmentsBranch
18.1%1b
18.1%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
18.1%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
18.1%1r
18.1%1a
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch99.0ms (1.1%)

Memory
27.2MiB live, 71.8MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
0.195681580258211
20.294780893841583
78.0ms
-0.16046050470066756
-2.6502912131122122e-14
Samples
74.0ms123×1valid
10.0ms149×0valid
Compiler

Compiled 709 to 541 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-cos: 6.0ms (29.9% of total)
adjust: 3.0ms (15% of total)
ival-sin: 3.0ms (15% of total)
ival-add: 2.0ms (10% of total)
ival-div: 2.0ms (10% of total)
ival-mult: 2.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.195681580258211
20.294780893841583
2.0ms
-0.16046050470066756
-2.6502912131122122e-14
Compiler

Compiled 930 to 677 computations (27.2% saved)

bsearch3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.195681580258211
20.294780893841583
2.0ms
-0.16046050470066756
-2.6502912131122122e-14
Compiler

Compiled 794 to 592 computations (25.4% saved)

simplify117.0ms (1.2%)

Memory
-51.8MiB live, 53.1MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090317
1144317
2222313
3388313
4778313
51917313
65062313
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin 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 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b)))))
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) #s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin a)) (sin b))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 b))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))))
(if (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (if (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))))
(if (or (<=.f64 b #s(literal -1261007895663739/18014398509481984 binary64)) (not (<=.f64 b #s(literal 3602879701896397/18014398509481984 binary64)))) #s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))) (*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) (fma.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) b) b) #s(literal 1/6 binary64)) b)) (cos.f64 (+.f64 a b)))))
(*.f64 r (/.f64 #s(approx (sin (+ (neg b) (PI))) b) (cos.f64 (+.f64 a b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* r (/ (sin (+ (neg b) (PI))) (cos (+ a b)))) #s(literal 0 binary64))

derivations1.1s (11.7%)

Memory
9.0MiB live, 676.7MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070337
0113330
1398263
22718263
08490263
06663250
123352538
085212377
0215832
1696794
22437727
08298692
07253841
124403463
090103292
0822
01322
14622
226822
3287722
0830622
044221
079194
1258193
21852181
08172181
Stop Event
fuel
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
Compiler

Compiled 342 to 88 computations (74.3% saved)

preprocess196.0ms (2.1%)

Memory
34.4MiB live, 175.2MiB allocated; 22ms collecting garbage
Remove

(negabs r)

Compiler

Compiled 862 to 312 computations (63.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...