rsin B (should all be same)

Time bar (total: 12.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze430.0ms (3.5%)

Memory
1.8MiB live, 366.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample3.1s (25%)

Memory
37.5MiB live, 1 715.8MiB allocated
Samples
1.6s5 778×1valid
171.0ms2 478×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-div: 588.0ms (42.2% of total)
ival-cos: 291.0ms (20.9% of total)
ival-sin: 208.0ms (14.9% of total)
adjust: 113.0ms (8.1% of total)
ival-mult: 98.0ms (7% of total)
ival-add: 84.0ms (6% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain136.0ms (1.1%)

Memory
8.4MiB live, 173.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
56130(7.959823582446084e+140 -1.5545688589205037e+164 2.720347112981767e-169)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))sensitivity1860
Confusion
Predicted +Predicted -
+560
-13070
Precision
0.3010752688172043
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-130070
Precision?
0.3010752688172043
Recall?
1.0
Freqs
test
numberfreq
070
1186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms360×1valid
11.0ms152×0valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-cos: 17.0ms (33.6% of total)
ival-sin: 10.0ms (19.8% of total)
adjust: 6.0ms (11.9% of total)
ival-mult: 6.0ms (11.9% of total)
ival-add: 5.0ms (9.9% of total)
ival-div: 4.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess152.0ms (1.2%)

Memory
-22.3MiB live, 55.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
217884
343184
4107984
5251084
6326884
7366484
8424484
9462084
10463284
11463684
12463684
13467684
14469284
15469284
089
0139
1179
2199
3219
4229
0229
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize48.0ms (0.4%)

Memory
-7.3MiB live, 68.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 b)
accuracy0.19921875
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.2265625
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy12.150054847710441
(cos.f64 (+.f64 a b))
Samples
34.0ms180×1valid
5.0ms76×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 9.0ms (31.7% of total)
ival-mult: 6.0ms (21.1% of total)
ival-sin: 5.0ms (17.6% of total)
ival-add: 3.0ms (10.6% of total)
adjust: 3.0ms (10.6% of total)
ival-div: 2.0ms (7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
22.8MiB live, 22.8MiB allocated
Counts
4 → 96
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 (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos 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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Calls

9 calls:

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

simplify165.0ms (1.3%)

Memory
6.2MiB live, 153.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220651116
377131116
082891075
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* 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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(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))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(sin b)
(sin b)
(sin b)
(sin b)
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.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 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) a)) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))) a)) a))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b))))) a (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) a (/.f64 (sin.f64 b) (cos.f64 b)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (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)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (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))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 b (cos.f64 a)) r)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (fma.f64 (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) r) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 b) (fma.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a)) (*.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (neg.f64 (cos.f64 a))))) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (pow.f64 (sin.f64 a) #s(literal 2 binary64))))) b)) b (/.f64 r (cos.f64 a))) b)
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 (*.f64 b b) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)) (neg.f64 (sin.f64 a)) (*.f64 (sin.f64 a) (/.f64 #s(literal -1/3 binary64) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b (/.f64 #s(literal 1 binary64) (cos.f64 a))) b)
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite209.0ms (1.7%)

Memory
-36.4MiB live, 290.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
01322
14422
223422
3198522
01021222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 160
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 #s(literal -1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
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(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos.f64 (+.f64 a b))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval67.0ms (0.5%)

Memory
0.3MiB live, 75.2MiB allocated
Compiler

Compiled 5 280 to 766 computations (85.5% saved)

prune46.0ms (0.4%)

Memory
-8.5MiB live, 79.6MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New23025255
Fresh000
Picked101
Done000
Total23125256
Accuracy
99.9%
Counts
256 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.7%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
80.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
80.9%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
80.8%
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
80.9%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
80.9%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
80.9%
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
80.9%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
82.3%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
60.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
56.2%
(*.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)))))
60.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
57.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
59.5%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
80.9%
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
34.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
59.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Compiler

Compiled 872 to 636 computations (27.1% saved)

simplify266.0ms (2.2%)

Memory
-9.6MiB live, 110.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff14208
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
cost-diff0
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
cost-diff0
(+.f64 a b)
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff384
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 b (cos.f64 a))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034251
062241
1100241
2172241
3311241
4414241
51123241
63635241
74718241
87313241
08068241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
r
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
(sin.f64 a)
a
(cos.f64 a)
(*.f64 (/.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) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
r
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
b
(cos.f64 a)
a
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(neg.f64 b)
(sin.f64 a)
a
(cos.f64 a)
(*.f64 (/.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) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))
(cos.f64 (-.f64 b a))
(cos.f64 (-.f64 a b))
(-.f64 b a)
a
(cos.f64 (+.f64 a b))
(+.f64 a b)

localize230.0ms (1.9%)

Memory
-7.0MiB live, 230.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.228847509768442
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
accuracy0.32259750976844204
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
accuracy11.954756320184645
(cos.f64 (-.f64 b a))
accuracy12.150054847710441
(cos.f64 (+.f64 a b))
accuracy0.046875
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
accuracy0.19921875
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
accuracy0.2265625
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
accuracy25.36799288016983
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))
accuracy0
(sin.f64 b)
accuracy0.203125
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy0.24609375
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy12.150054847710441
(cos.f64 (+.f64 a b))
accuracy0
(cos.f64 a)
accuracy0.125
(/.f64 b (cos.f64 a))
accuracy0.19921875
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
accuracy25.969848423979418
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
accuracy0.08431625976844201
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy0.19921875
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
accuracy0.22265625
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.2265625
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Samples
133.0ms178×1valid
45.0ms78×0valid
Compiler

Compiled 474 to 65 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 48.0ms (35.6% of total)
ival-cos: 41.0ms (30.4% of total)
ival-sin: 14.0ms (10.4% of total)
ival-div: 13.0ms (9.6% of total)
adjust: 9.0ms (6.7% of total)
ival-add: 6.0ms (4.4% of total)
ival-sub: 2.0ms (1.5% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
7.5MiB live, 44.5MiB allocated
Counts
21 → 540
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (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 (sin.f64 b) r)
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(cos.f64 (-.f64 b a))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (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))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* 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)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(cos 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))))
b
(+ a b)
(+ a b)
(+ 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))))
(/ (* 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)))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(cos b)
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(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 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ 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 (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (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))))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 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 (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (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)))))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg 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)))))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
b
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (cos (- b a)))
8.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (cos (- b a)))
5.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (cos (- b a)))
5.0ms
a
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (cos (- b a)))
4.0ms
b
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (cos (+ a b)) (* (/ (* (sin b) r) (* (cos (- b a)) (cos (+ a b)))) (cos (- b a))) (* (sin b) r) (* (cos (- b a)) (cos (+ a b))) (* (neg (sin b)) (sin a)) (+ (* (neg b) (sin a)) (cos a)) (cos (- b a)))

simplify172.0ms (1.4%)

Memory
36.9MiB live, 183.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05016912
116196490
250296360
089616131
Stop Event
iter limit
node limit
Counts
540 → 532
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(/ (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)))
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(cos b)
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(+ (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))))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* 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)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(cos 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))))
b
(+ a b)
(+ a b)
(+ 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))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(pow (cos b) 2)
(+ (* a (+ (* -1 (* (cos b) (sin b))) (* (cos b) (sin b)))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (* -1 (pow (sin b) 2)))) (* (cos b) (sin b))))) (pow (cos b) 2))
(+ (* a (+ (* -1 (* (cos b) (sin b))) (+ (* a (+ (* -1 (pow (cos b) 2)) (+ (* -1 (pow (sin b) 2)) (* a (+ (* -1/2 (* (cos b) (sin b))) (+ (* -1/6 (* (cos b) (sin b))) (+ (* 1/6 (* (cos b) (sin b))) (* 1/2 (* (cos b) (sin b)))))))))) (* (cos b) (sin b))))) (pow (cos b) 2))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
1
(+ 1 (* -1 (* a b)))
(+ 1 (* a (+ (* -1 b) (* -1/2 a))))
(+ 1 (* a (+ (* -1 b) (* a (- (* 1/6 (* a b)) 1/2)))))
(cos b)
(+ (cos b) (* a (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (* -1 (sin b)))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin b))))) (* -1 (sin b)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* (cos (+ b (* -1 a))) (cos (- b (* -1 a))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (+ b (* -1 a)))
(cos (+ b (* -1 a)))
(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 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ 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 (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (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))))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 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 (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (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)))))))
(* (cos a) (cos (neg a)))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (* -1 (* (cos (neg a)) (sin a))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (* (sin a) (sin (neg a)))))))) (* (cos a) (cos (neg a))))
(+ (* b (+ (* -1 (* (cos a) (sin (neg a)))) (+ (* -1 (* (cos (neg a)) (sin a))) (* b (+ (* -1 (* (cos a) (cos (neg a)))) (+ (* b (+ (* 1/6 (* (cos a) (sin (neg a)))) (+ (* 1/6 (* (cos (neg a)) (sin a))) (+ (* 1/2 (* (cos a) (sin (neg a)))) (* 1/2 (* (cos (neg a)) (sin a))))))) (* (sin a) (sin (neg a))))))))) (* (cos a) (cos (neg 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)))))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* -1 (* b (sin a))))
(cos (neg a))
(+ (cos (neg a)) (* -1 (* b (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* -1/2 (* b (cos (neg a)))) (sin (neg a)))))
(+ (cos (neg a)) (* b (- (* b (+ (* -1/2 (cos (neg a))) (* 1/6 (* b (sin (neg a)))))) (sin (neg a)))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* (cos (+ a b)) (cos (- b a)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(* b (+ (* -1 (sin a)) (/ (cos a) b)))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(cos (- b a))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(sin b)
(sin b)
(sin b)
(sin b)
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* (sin a) (sin b)))
(* -1 (* b (sin a)))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ a (* -1 b))))
(cos (neg (+ 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 b) (/.f64 r (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))
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(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (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))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* (cos (neg (+ a (* -1 b)))) (cos (- a (* -1 b))))
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(* -1 (* (sin a) (sin b)))
(*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))
(* -1 (* b (sin a)))
(*.f64 (neg.f64 (sin.f64 a)) b)
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)
(* -1 (* b (+ (sin a) (* -1 (/ (cos a) b)))))
(*.f64 (-.f64 (/.f64 (cos.f64 a) b) (sin.f64 a)) b)
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))
(cos (neg (+ a (* -1 b))))
(cos.f64 (-.f64 b a))

rewrite259.0ms (2.1%)

Memory
-40.6MiB live, 324.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034191
062202
1201160
21332160
08421160
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 010
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))
(/.f64 b (cos.f64 a))
(cos.f64 a)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
#s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (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 (sin.f64 b) r)
(*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(cos.f64 (-.f64 b a))
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (-.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 (cos.f64 (-.f64 a b)) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (-.f64 a b)) r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) r)) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))) (/.f64 r (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (-.f64 a b)))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 (sin.f64 b) r) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (-.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 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 r (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (-.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 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 r (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (*.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) (pow.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b)))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))) (pow.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))))
(*.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 (/.f64 r (cos.f64 (-.f64 a b))) (/.f64 (*.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r))) (pow.f64 (*.f64 (neg.f64 (cos.f64 (-.f64 a b))) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (-.f64 a b))) (/.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (pow.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64))))
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(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (neg.f64 (sin.f64 b))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 b)))
(fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (/.f64 (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 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (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 (/.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 (neg.f64 b))) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 (-.f64 a b))
(cos.f64 (-.f64 b a))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (cos.f64 (/.f64 (*.f64 a a) (+.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (+.f64 a b))) (sin.f64 (/.f64 (*.f64 a a) (+.f64 a b)))))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (cos.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))) (*.f64 (sin.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b)))) (sin.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (+.f64 a b) (*.f64 b b))))))
(+.f64 (*.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)) (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (neg.f64 (neg.f64 (sin.f64 b))) (sin.f64 a)))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))

eval453.0ms (3.7%)

Memory
66.2MiB live, 591.6MiB allocated
Compiler

Compiled 49 135 to 3 540 computations (92.8% saved)

prune110.0ms (0.9%)

Memory
-25.3MiB live, 238.5MiB allocated
Pruning

50 alts after pruning (48 fresh and 2 done)

PrunedKeptTotal
New1 813431 856
Fresh15520
Picked325
Done000
Total1 831501 881
Accuracy
100.0%
Counts
1 881 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.9%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
80.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
99.5%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
99.5%
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
99.4%
(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
46.7%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
71.5%
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
59.7%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
62.3%
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
80.8%
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
60.2%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
62.0%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
59.4%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
57.3%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
79.8%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
79.8%
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
59.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
62.2%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
61.5%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
64.4%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
80.7%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
80.8%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
80.9%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
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)))))
54.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
99.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.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 #s(literal 1 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)))))))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
39.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
38.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
3.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
41.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
99.4%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
37.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
34.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
59.5%
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
59.7%
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
Compiler

Compiled 2 076 to 1 457 computations (29.8% saved)

simplify163.0ms (1.3%)

Memory
-12.4MiB live, 173.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
cost-diff0
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
cost-diff256
(-.f64 a (+.f64 a b))
cost-diff256
(-.f64 (-.f64 (-.f64 b a) a) b)
cost-diff0
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
cost-diff384
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
cost-diff704
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
cost-diff0
#s(approx (cos a) #s(literal 1 binary64))
cost-diff0
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 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) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054390
090360
1151341
2299320
3795300
43805300
08494299
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
r
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
#s(literal 1 binary64)
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
(-.f64 b a)
b
a
(*.f64 (+.f64 a b) (-.f64 b a))
(+.f64 a b)
(sin.f64 b)
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
(*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
b
(*.f64 (sin.f64 b) r)
(sin.f64 b)
r
(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
(cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b))
(-.f64 (-.f64 (-.f64 b a) a) b)
(-.f64 (-.f64 b a) a)
(-.f64 b a)
(cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))
(-.f64 b (-.f64 a (+.f64 a b)))
(-.f64 a (+.f64 a b))
(+.f64 a b)
#s(literal 2 binary64)
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin 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) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
b
#s(approx (cos a) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(+.f64 a b)
#s(literal 1 binary64)
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (+.f64 a b))
(-.f64 b a)
b
a
(*.f64 (+.f64 a b) (-.f64 b a))
(*.f64 (-.f64 b a) (+.f64 a b))
(+.f64 a b)
(sin.f64 b)
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 b #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 b #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r))
(cos.f64 (-.f64 a b))
(-.f64 a b)
a
b
(*.f64 (sin.f64 b) r)
(sin.f64 b)
r
(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
(+.f64 (cos.f64 (*.f64 b #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal -2 binary64) a)))
(cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b))
(cos.f64 (*.f64 #s(literal -2 binary64) a))
(-.f64 (-.f64 (-.f64 b a) a) b)
(*.f64 #s(literal -2 binary64) a)
(-.f64 (-.f64 b a) a)
(fma.f64 #s(literal -2 binary64) a b)
(-.f64 b a)
(cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))
(cos.f64 (*.f64 b #s(literal -2 binary64)))
(-.f64 b (-.f64 a (+.f64 a b)))
(*.f64 #s(literal 2 binary64) b)
(-.f64 a (+.f64 a b))
(neg.f64 b)
(+.f64 a b)
#s(literal 2 binary64)

localize468.0ms (3.8%)

Memory
-9.9MiB live, 607.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.43380773694175456
(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
accuracy11.954756320184645
(cos.f64 (-.f64 a b))
accuracy27.704317360567128
(-.f64 (-.f64 (-.f64 b a) a) b)
accuracy32.112553100900826
(-.f64 a (+.f64 a b))
accuracy0.203125
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
accuracy0.24609375
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
accuracy12.150054847710441
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))))
accuracy29.794782290359954
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
accuracy0
(sin.f64 b)
accuracy0.11328125
(*.f64 (sin.f64 b) r)
accuracy0.221035009768442
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
accuracy12.150054847710441
(cos.f64 (+.f64 a b))
accuracy0.125
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
accuracy0.19921875
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
accuracy25.969848423979418
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
accuracy29.516960455581902
#s(approx (cos a) #s(literal 1 binary64))
accuracy0.05859375
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.07157003162065376
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.11328125
(*.f64 (sin.f64 b) r)
accuracy0.221035009768442
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
325.0ms246×1valid
4.0ms2valid
2.0ms0valid
Compiler

Compiled 749 to 101 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-cos: 148.0ms (51.9% of total)
ival-div: 38.0ms (13.3% of total)
adjust: 35.0ms (12.3% of total)
ival-mult: 22.0ms (7.7% of total)
ival-sub: 17.0ms (6% of total)
ival-sin: 13.0ms (4.6% of total)
ival-add: 9.0ms (3.2% of total)
ival-neg: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.5%)

Memory
22.4MiB live, 132.9MiB allocated
Counts
23 → 612
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(approx (cos a) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
(-.f64 (-.f64 (-.f64 b a) a) b)
(-.f64 a (+.f64 a b))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(cos.f64 (-.f64 a b))
(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (* 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)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
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a
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(* b r)
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b
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a
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(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(+ 1 (cos (neg (* 2 a))))
(+ 1 (+ (cos (neg (* 2 a))) (* -2 (pow b 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* 2/3 (pow b 2)) 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* (pow b 2) (+ 2/3 (* -4/45 (pow b 2)))) 2))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
r
@0
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (/ (- b a) (* (+ a b) (- b a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
8.0ms
r
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (/ (- b a) (* (+ a b) (- b a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
7.0ms
a
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (/ (- b a) (* (+ a b) (- b a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
7.0ms
b
@inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (/ (- b a) (* (+ a b) (- b a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))
6.0ms
r
@-inf
((* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin b) r) (sin b) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ b (cos a)) (cos a) (/ (* (sin b) r) (cos (+ a b))) (cos (+ a b)) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (/ (- b a) (* (+ a b) (- b a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (- (- (- b a) a) b) (- a (+ a b)) (* (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) 2) (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))) (* (cos b) (cos a)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos (- a b)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))))

simplify192.0ms (1.6%)

Memory
9.1MiB live, 241.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06718273
120577964
260427883
082337668
Stop Event
iter limit
node limit
Counts
612 → 604
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos 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)))
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(/ (sin b) (cos b))
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b
(+ b (* 1/2 (* (pow a 2) b)))
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1
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(cos b)
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b
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(cos b)
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(cos b)
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(cos b)
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(cos (neg b))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
(cos a)
(cos a)
(cos a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
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(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
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(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
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(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
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(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
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(/ (sin b) (cos (- b (* -1 a))))
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(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(cos a)
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(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(/ (* r (sin b)) (cos (- b (* -1 a))))
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(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (neg (+ b (* -1 a)))) (sin b))) (+ (cos (* -2 a)) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (neg (+ b (* -1 a)))) (sin b))) (+ (cos (* -2 a)) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (neg (+ b (* -1 a)))) (sin b))) (+ (cos (* -2 a)) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (neg (+ b (* -1 a)))) (sin b))) (+ (cos (* -2 a)) (cos (* 2 b)))))
(/ (* r (* (cos (neg (+ b (* -1 a)))) (sin b))) (+ (cos (* -2 a)) (cos (* 2 b))))
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(* (cos a) (cos b))
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(* (cos a) (cos b))
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(* 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) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(* 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))))
(/ (* 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))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ b (cos a))
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(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(cos a)
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a
(+ a b)
(+ a b)
(+ a b)
(/ 1 a)
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(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
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(/ (* 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))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* b (* r (cos a))) (+ 1 (cos (neg (* 2 a))))))
(* b (+ (* 2 (/ (* b (* r (sin a))) (+ 1 (cos (neg (* 2 a)))))) (* 2 (/ (* r (cos a)) (+ 1 (cos (neg (* 2 a))))))))
(* b (+ (* 2 (/ (* r (cos a)) (+ 1 (cos (neg (* 2 a)))))) (* b (+ (* 2 (* b (- (/ (* r (+ (* -1/2 (cos a)) (* -1/6 (cos a)))) (+ 1 (cos (neg (* 2 a))))) (* -2 (/ (* r (cos a)) (pow (+ 1 (cos (neg (* 2 a)))) 2)))))) (* 2 (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a))))))))))
(* b (+ (* 2 (/ (* r (cos a)) (+ 1 (cos (neg (* 2 a)))))) (* b (+ (* 2 (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a)))))) (* b (+ (* 2 (* b (- (* -1/3 (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ (* r (sin a)) (pow (+ 1 (cos (neg (* 2 a)))) 2)))))) (* 2 (- (/ (* r (+ (* -1/2 (cos a)) (* -1/6 (cos a)))) (+ 1 (cos (neg (* 2 a))))) (* -2 (/ (* r (cos a)) (pow (+ 1 (cos (neg (* 2 a)))) 2)))))))))))
(/ (* b (* r (cos a))) (+ 1 (cos (neg (* 2 a)))))
(* b (+ (/ (* b (* r (sin a))) (+ 1 (cos (neg (* 2 a))))) (/ (* r (cos a)) (+ 1 (cos (neg (* 2 a)))))))
(* b (+ (* b (+ (* b (- (/ (* r (+ (* -1/2 (cos a)) (* -1/6 (cos a)))) (+ 1 (cos (neg (* 2 a))))) (* -2 (/ (* r (cos a)) (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a))))))) (/ (* r (cos a)) (+ 1 (cos (neg (* 2 a)))))))
(* b (+ (* b (+ (* b (- (+ (* b (- (* -1/3 (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ (* r (sin a)) (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ (* r (+ (* -1/2 (cos a)) (* -1/6 (cos a)))) (+ 1 (cos (neg (* 2 a)))))) (* -2 (/ (* r (cos a)) (pow (+ 1 (cos (neg (* 2 a)))) 2))))) (/ (* r (sin a)) (+ 1 (cos (neg (* 2 a))))))) (/ (* r (cos a)) (+ 1 (cos (neg (* 2 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)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos a)
(+ (cos a) (* b (sin a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (* -1 (sin a)))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* -1/6 (* b (sin a))))) (* -1 (sin a)))))
(+ 1 (cos (neg (* 2 a))))
(+ 1 (+ (cos (neg (* 2 a))) (* -2 (pow b 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* 2/3 (pow b 2)) 2))))
(+ 1 (+ (cos (neg (* 2 a))) (* (pow b 2) (- (* (pow b 2) (+ 2/3 (* -4/45 (pow b 2)))) 2))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(cos (- a b))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(+ (cos (neg (* 2 a))) (cos (* 2 b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(* -2 a)
(* -2 a)
(* -2 a)
(* -2 a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(cos (+ a (* -1 b)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (- a b)) (sin b))) (+ (cos (neg (* 2 a))) (cos (* 2 b)))))
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b
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(/.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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a 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)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 (neg.f64 a) b) (neg.f64 b) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a) b) #s(literal 1 binary64)) (neg.f64 b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* -2 a)
(*.f64 #s(literal -2 binary64) a)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(* 2 (/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) r) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(/ (* r (* (cos (+ a (* -1 b))) (sin b))) (+ (cos (neg (* -2 b))) (cos (neg (* 2 a)))))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(cos (+ a (* -1 b)))
(cos.f64 (-.f64 a b))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a)))
(+ (cos (neg (* -2 b))) (cos (neg (* 2 a))))
(+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a)))

rewrite417.0ms (3.4%)

Memory
30.4MiB live, 400.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054288
090296
1340201
22879201
010368197
Stop Event
iter limit
node limit
iter limit
Counts
23 → 791
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(approx (cos a) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos.f64 (+.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b))
(-.f64 (-.f64 (-.f64 b a) a) b)
(-.f64 a (+.f64 a b))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a)))))
(cos.f64 (-.f64 a b))
(+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.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 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.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 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 r))) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (neg.f64 (/.f64 r (cos.f64 (+.f64 a b)))) (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 r)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(neg.f64 (/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b)))) (/.f64 (neg.f64 r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(*.f64 (pow.f64 #s(approx (cos a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (cos a) #s(literal 1 binary64)) #s(literal -1 binary64)) b)
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (+.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) (neg.f64 b))) (neg.f64 (fma.f64 #s(literal 2 binary64) a b)))
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) (+.f64 #s(literal 0 binary64) b)))
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(-.f64 a (+.f64 a b))
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(*.f64 (cos.f64 (-.f64 a b)) (*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))))
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(pow.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))))
(/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b))) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (-.f64 a b)))) (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
(/.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) r)))
(/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64))) (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64))))))
(/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) r))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) (*.f64 r #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64)))) r) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (cos.f64 (-.f64 a b))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64)))) (cos.f64 (-.f64 a b))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) r) (+.f64 (pow.f64 (cos.f64 (-.f64 b (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (-.f64 b (neg.f64 b))) (-.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) (pow.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) #s(literal 2 binary64)) (/.f64 r (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (*.f64 (-.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)) (-.f64 b (neg.f64 b))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 (-.f64 b (neg.f64 b)) (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 1/2 binary64))))))
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(*.f64 (pow.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (-.f64 a b)) (sin.f64 b)) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sin.f64 b) r) (/.f64 (cos.f64 (-.f64 a b)) (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))))
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(fma.f64 (cos.f64 b) (cos.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 b (neg.f64 b))) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))) (/.f64 (pow.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))))
(-.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) (cos.f64 (-.f64 b (neg.f64 b))))) (/.f64 (pow.f64 (cos.f64 (-.f64 b (neg.f64 b))) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) (cos.f64 (-.f64 b (neg.f64 b))))))
(+.f64 (+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (*.f64 (cos.f64 (-.f64 (-.f64 b a) a)) (cos.f64 b))) (*.f64 (sin.f64 (-.f64 (-.f64 b a) a)) (sin.f64 b)))
(+.f64 (+.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 (cos.f64 (-.f64 (-.f64 b a) a)) (cos.f64 b)) (fma.f64 (sin.f64 (-.f64 (-.f64 b a) a)) (sin.f64 b) (cos.f64 (-.f64 b (neg.f64 b)))))
(+.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 b)) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b)))))
(+.f64 (cos.f64 (-.f64 b (neg.f64 b))) (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))))
(+.f64 (cos.f64 (-.f64 b (fma.f64 #s(literal 2 binary64) a b))) (cos.f64 (-.f64 b (neg.f64 b))))

eval346.0ms (2.8%)

Memory
-27.3MiB live, 503.2MiB allocated
Compiler

Compiled 50 182 to 3 954 computations (92.1% saved)

prune150.0ms (1.2%)

Memory
4.6MiB live, 281.6MiB allocated
Pruning

63 alts after pruning (59 fresh and 4 done)

PrunedKeptTotal
New1 459361 495
Fresh202343
Picked325
Done022
Total1 482631 545
Accuracy
100.0%
Counts
1 545 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
99.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
73.3%
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64))))
59.7%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
62.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
80.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
59.4%
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
59.5%
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.5%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
99.5%
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
99.4%
(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b)))
46.6%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
22.2%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
59.2%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
58.7%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
50.8%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
55.9%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
55.8%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
22.8%
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 b)))
71.5%
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
59.7%
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 b)) (sin.f64 b)))
62.3%
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
80.8%
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
60.2%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
62.0%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
59.4%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
57.3%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
59.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
81.3%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
80.8%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
61.4%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
64.2%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
80.8%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
80.9%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
59.6%
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
54.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
60.6%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
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 #s(literal 1 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)))))))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
39.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
38.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
3.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
41.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
99.4%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
37.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
37.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
21.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
34.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
59.5%
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
59.7%
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
60.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
63.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
Compiler

Compiled 2 988 to 2 041 computations (31.7% saved)

simplify155.0ms (1.3%)

Memory
1.8MiB live, 166.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
cost-diff0
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))
cost-diff0
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
cost-diff0
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
cost-diff384
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
cost-diff0
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
cost-diff0
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
cost-diff0
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
cost-diff0
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 (sin.f64 b) r)
cost-diff0
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048362
073358
1118358
2168322
3254322
4503322
51118322
63312322
75835322
87694322
08093322
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
#s(literal 1 binary64)
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
#s(approx (cos a) #s(literal 1 binary64))
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
(cos.f64 b)
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
r
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))
#s(literal 1 binary64)
#s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
b
(sin.f64 b)
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(cos.f64 b)
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)
r
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
(/.f64 b #s(approx (cos a) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
#s(approx (cos a) #s(literal 1 binary64))
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
r
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
(sin.f64 b)
b
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
(cos.f64 b)
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))))
r
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))
#s(literal 1 binary64)
#s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) b)
b
(sin.f64 b)
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
b
r
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(cos.f64 b)

localize298.0ms (2.4%)

Memory
23.5MiB live, 410.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07157003162065376
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
accuracy0.11328125
(*.f64 (sin.f64 b) r)
accuracy0.221035009768442
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
accuracy29.49626341384364
#s(approx (* (cos b) (cos a)) (cos.f64 b))
accuracy0.203125
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
accuracy0.24609375
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
accuracy12.150054847710441
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
accuracy33.662408109291356
#s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))
accuracy0
(cos.f64 b)
accuracy0.19921875
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
accuracy0.2265625
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
accuracy29.706338342945465
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
accuracy0.19921875
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
accuracy0.23275375976844204
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
accuracy25.969848423979418
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
accuracy29.516960455581902
#s(approx (cos a) #s(literal 1 binary64))
accuracy0.08705235241743066
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.11328125
(*.f64 (sin.f64 b) r)
accuracy0.221035009768442
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
accuracy0.22265625
(*.f64 (sin.f64 a) (sin.f64 b))
Samples
218.0ms182×1valid
24.0ms74×0valid
Compiler

Compiled 646 to 87 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-div: 59.0ms (28.3% of total)
ival-sin: 43.0ms (20.6% of total)
ival-cos: 40.0ms (19.2% of total)
ival-mult: 36.0ms (17.3% of total)
ival-add: 13.0ms (6.2% of total)
adjust: 11.0ms (5.3% of total)
ival-sub: 4.0ms (1.9% of total)
ival-neg: 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)

series71.0ms (0.6%)

Memory
-39.5MiB live, 100.9MiB allocated
Counts
23 → 588
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(*.f64 (sin.f64 a) (sin.f64 b))
#s(approx (cos a) #s(literal 1 binary64))
(cos.f64 b)
#s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (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)))
(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))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(/ (* 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)))
(/ 1 b)
(+ (* -1/2 (/ (pow a 2) b)) (/ 1 b))
(+ (* (pow a 2) (- (* 1/24 (/ (pow a 2) b)) (* 1/2 (/ 1 b)))) (/ 1 b))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1/720 (/ (pow a 2) b)) (* 1/24 (/ 1 b)))) (* 1/2 (/ 1 b)))) (/ 1 b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
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b
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(* a (sin b))
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(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
1
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(cos b)
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(cos b)
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(/ b (cos a))
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(/ (* r (sin b)) (cos (+ a b)))
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(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(cos a)
(cos a)
(cos a)
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
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(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
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(/ b (cos a))
(/ b (cos a))
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(/ (cos a) b)
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(/ (* r (sin b)) (cos (- b (* -1 a))))
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(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(cos a)
(cos a)
(cos a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b 2) a) b) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
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(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* 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))))
(cos a)
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(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ 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) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(cos a)
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(/ (* 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))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
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(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* 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 (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(cos a)
(+ (cos 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))))))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos b)
(cos b)
(cos b)
(cos b)
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos b)
(cos b)
(cos b)
(cos b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
Calls

9 calls:

TimeVariablePointExpression
35.0ms
b
@-inf
((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin a) (sin b)) (cos a) (cos b) (/ (- b a) (* (+ a b) (- b a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
6.0ms
r
@inf
((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin a) (sin b)) (cos a) (cos b) (/ (- b a) (* (+ a b) (- b a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
5.0ms
a
@-inf
((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin a) (sin b)) (cos a) (cos b) (/ (- b a) (* (+ a b) (- b a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
4.0ms
r
@-inf
((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin a) (sin b)) (cos a) (cos b) (/ (- b a) (* (+ a b) (- b a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))
4.0ms
a
@inf
((/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (* (sin b) r) (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))) (/ 1 (/ (cos a) b)) (* r (/ (sin b) (cos (+ a b)))) (/ (sin b) (cos (+ a b))) (/ (cos a) b) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ r (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b))) (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/ (* (sin b) r) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a)))) (* (sin a) (sin b)) (cos a) (cos b) (/ (- b a) (* (+ a b) (- b a))) (* (cos b) (cos a)) (+ (* (neg (sin a)) (sin b)) (* (cos b) (cos a))))

simplify183.0ms (1.5%)

Memory
26.5MiB live, 405.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05437979
116617695
250007600
081547354
Stop Event
iter limit
node limit
Counts
588 → 580
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (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)))
(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))))
b
(+ b (* 1/2 (* (pow a 2) b)))
(+ b (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(+ b (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 b) (+ (* 1/48 b) (* 1/2 (+ (* -1/4 b) (* 1/24 b))))))) (+ (* -1/4 b) (* 1/24 b)))) (* -1/2 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
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b
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(* a (sin b))
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(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
1
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(cos b)
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(cos b)
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(/ b (cos a))
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(/ (* r (sin b)) (cos (+ a b)))
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(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(cos a)
(cos a)
(cos a)
(/ 1 a)
(/ (+ 1 (* -1 (/ b a))) a)
(/ (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)) a)
(/ (- (+ 1 (* -1 (/ (pow b 3) (pow a 3)))) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ b a))) a)
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
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(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos a)
(cos a)
(cos a)
(cos a)
(/ 1 a)
(* -1 (/ (- (/ b a) 1) a))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b 3) a) (pow b 2)) a)) b) a)) 1) a))
(* (cos a) (cos b))
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(* (cos a) (cos b))
(* (cos a) (cos b))
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(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
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(* 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)
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(* 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))))
(cos a)
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(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* b r) (cos a))
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(* 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))))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ b (cos a))
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(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(cos a)
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(/ (* 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))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(cos a)
(+ (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))))
a
(+ a b)
(+ a b)
(+ a b)
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* 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 (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(/ 1 a)
(+ (* -1 (/ b (pow a 2))) (/ 1 a))
(+ (* b (- (/ b (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* b (- (* b (+ (* -1 (/ b (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(cos a)
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(cos a)
(+ (cos 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))))))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos b)
(cos b)
(cos b)
(cos b)
(/ 1 b)
(/ (+ 1 (* -1 (/ a b))) b)
(/ (- (+ 1 (/ (pow a 2) (pow b 2))) (/ a b)) b)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow b 3)))) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ a b))) b)
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(sin b)
(sin b)
(sin b)
(sin b)
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ b (cos a))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (cos a) b)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (sin b) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(cos b)
(cos b)
(cos b)
(cos b)
(/ 1 b)
(* -1 (/ (- (/ a b) 1) b))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(* (cos a) (cos b))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (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))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
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(fma.f64 (neg.f64 b) (/.f64 (neg.f64 a) b) b)
(/ (* 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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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)) (+ (* -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))))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(* (sin a) (sin b))
(*.f64 (sin.f64 a) (sin.f64 b))
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(cos b)
(cos.f64 b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (/ a b) 1) b))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) b) a) b)) 1) b))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b)) (neg.f64 b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) b) (pow a 2)) b)) a) b)) 1) b))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) a (/.f64 (pow.f64 a #s(literal 3 binary64)) b)) b) a) b) #s(literal 1 binary64)) (neg.f64 b))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(* (cos a) (cos b))
(*.f64 (cos.f64 b) (cos.f64 a))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))

rewrite402.0ms (3.3%)

Memory
13.0MiB live, 304.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048317
073271
1269235
21686235
08591235
Stop Event
iter limit
node limit
iter limit
Counts
23 → 423
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
#s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)))
(/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))
#s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b))
(cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(*.f64 (sin.f64 a) (sin.f64 b))
#s(approx (cos a) #s(literal 1 binary64))
(cos.f64 b)
#s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
Outputs
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b))) (/.f64 r (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 r (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 r (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 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 r (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 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r #s(literal 1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 r (sin.f64 b)))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 r (sin.f64 b)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) r))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 a b)))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.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 a b)))))) #s(literal -4 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 r (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 a b)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(literal 2 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
#s(approx (cos a) #s(literal 1 binary64))
(cos.f64 b)
(*.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64))))
#s(approx (* (cos b) (cos a)) (cos.f64 b))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))))))
(/.f64 (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(-.f64 (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (/.f64 (pow.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) #s(approx (* (cos b) (cos a)) (cos.f64 b)))
(+.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))

eval144.0ms (1.2%)

Memory
-8.8MiB live, 331.5MiB allocated
Compiler

Compiled 35 288 to 2 225 computations (93.7% saved)

prune146.0ms (1.2%)

Memory
-25.3MiB live, 238.9MiB allocated
Pruning

70 alts after pruning (62 fresh and 8 done)

PrunedKeptTotal
New1 095201 115
Fresh124254
Picked145
Done044
Total1 108701 178
Accuracy
100.0%
Counts
1 178 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.6%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
63.4%
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
59.7%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
62.4%
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
55.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))))
80.8%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
59.5%
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.5%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
99.5%
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
99.4%
(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b)))
46.6%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
22.2%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
59.2%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
58.7%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
50.8%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
55.9%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
55.8%
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
19.9%
(/.f64 r (/.f64 (cos.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64)))) (sin.f64 b)))
22.8%
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 b)))
71.5%
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
59.7%
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (sin.f64 b)))
62.3%
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
80.8%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
80.8%
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
60.2%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
62.0%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
59.4%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
57.3%
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
59.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
59.6%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
81.3%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
80.8%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
61.4%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
64.2%
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
59.6%
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
80.8%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
59.7%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
80.9%
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
59.6%
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
54.3%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
63.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) 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 #s(literal 1 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)))))))))
59.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
62.4%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a))))
38.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
41.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
38.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
99.4%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
59.7%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))))
22.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
36.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
37.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
36.4%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
37.9%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
36.2%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
21.8%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
59.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
34.9%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
59.5%
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
99.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
63.4%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
41.3%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))))))
60.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
60.6%
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)))
Compiler

Compiled 4 646 to 1 819 computations (60.8% saved)

regimes178.0ms (1.4%)

Memory
37.9MiB live, 270.2MiB allocated
Counts
125 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 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 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin 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) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 r (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))) (sin.f64 b)))
(/.f64 r (/.f64 (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b))) (sin.f64 b)))
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(/.f64 (*.f64 (sin.f64 b) r) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (*.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 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.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 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))))) (sin.f64 b)))
(/.f64 r (/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.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)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (-.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))))
(*.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 #s(literal 1 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)))))))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
Calls

5 calls:

38.0ms
r
35.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
34.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
34.0ms
b
33.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes201.0ms (1.6%)

Memory
0.2MiB live, 240.3MiB allocated
Counts
111 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 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 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin 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) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))))
Outputs
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
Calls

5 calls:

71.0ms
r
32.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
31.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
29.0ms
b
28.0ms
a
Results
AccuracySegmentsBranch
99.6%1r
99.6%1a
99.6%1b
99.6%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.6%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes195.0ms (1.6%)

Memory
-18.3MiB live, 255.6MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 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 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) r) #s(literal -1 binary64)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64)))) #s(literal -1 binary64)))) (sin.f64 b)))
Outputs
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
Calls

5 calls:

49.0ms
a
42.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
39.0ms
r
32.0ms
b
28.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
81.3%1r
81.3%1a
81.3%1b
81.3%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
81.3%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes286.0ms (2.3%)

Memory
34.5MiB live, 264.9MiB allocated
Counts
104 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (+ a b)) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 a)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (cos.f64 b)) (sin.f64 b)))
(/.f64 r (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (*.f64 (neg.f64 (sin.f64 a)) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) #s(approx (cos a) #s(literal 1 binary64))))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (neg.f64 (sin.f64 b))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)) (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)) (*.f64 r (sin.f64 b))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b)))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (cos.f64 #s(approx (+ a b) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 #s(approx (/ 1 (/ (- b a) (* (+ a b) (- b a)))) (fma.f64 (/.f64 b a) a a))) (sin.f64 b)))
(/.f64 r (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 #s(literal 1 binary64) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 b a)) a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 a b) (-.f64 b a))))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) #s(literal 1 binary64)) b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) #s(approx (cos b) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a)))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (pow.f64 b #s(literal -1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 #s(approx (/ (* (cos (- a b)) (* (sin b) r)) (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b)))))) (/.f64 (*.f64 (*.f64 (cos.f64 b) r) (sin.f64 b)) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))) (sin.f64 b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (cos.f64 a)) b (neg.f64 (sin.f64 a))) b (cos.f64 a)) b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) (+.f64 a b)) (-.f64 b a)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (+.f64 (/.f64 (fma.f64 a (/.f64 a b) (neg.f64 a)) b) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64)))) b)))) (sin.f64 b)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- b a) (* (+ a b) (- b a))) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) b (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) a) b) a) #s(literal 1 binary64)) (neg.f64 a))))) (sin.f64 b)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (*.f64 (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))) (sin.f64 b)))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (-.f64 #s(approx (* (cos b) (cos a)) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 a)))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) #s(approx (* (cos b) (cos a)) (cos.f64 b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) #s(approx (* (cos (- b a)) (cos (+ a b))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (exp.f64 (log.f64 (+.f64 a b)))) (sin.f64 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 b)) (sin.f64 a)))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) #s(approx (cos b) #s(literal 1 binary64))) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(approx (cos (- b a)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 r (/.f64 (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (+.f64 a b)))))) (sin.f64 b)))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) #s(approx (+ (cos (- (- (- b a) a) b)) (cos (- b (- a (+ a b))))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) b)) (cos.f64 (*.f64 #s(literal -2 binary64) a))))) #s(literal 2 binary64))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) a) b)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Calls

5 calls:

71.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
56.0ms
b
55.0ms
a
51.0ms
r
49.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
80.9%1r
80.9%1a
80.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
80.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
80.9%1b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes136.0ms (1.1%)

Memory
7.0MiB live, 154.5MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

5 calls:

48.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
32.0ms
r
29.0ms
b
15.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms
a
Results
AccuracySegmentsBranch
80.9%1b
80.9%1r
80.9%1a
80.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
80.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes194.0ms (1.6%)

Memory
-64.7MiB live, 135.7MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

61.0ms
a
51.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.0ms
b
35.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
10.0ms
r
Results
AccuracySegmentsBranch
80.9%1b
80.9%1r
80.9%1a
80.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
80.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes72.0ms (0.6%)

Memory
32.1MiB live, 110.6MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
#s(approx (/ (* (sin b) r) (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 b)) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 a)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cos.f64 b)))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 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 r (cos.f64 b)) (sin.f64 b)))
Calls

5 calls:

28.0ms
r
12.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms
a
10.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
10.0ms
b
Results
AccuracySegmentsBranch
81.2%3b
64.8%2r
81.2%3a
81.2%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
70.0%3(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes67.0ms (0.5%)

Memory
-13.2MiB live, 66.0MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (-.f64 (/.f64 (/.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))) (/.f64 (/.f64 (pow.f64 (+.f64 a b) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) a b)) (neg.f64 #s(approx (cos a) #s(literal 1 binary64)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
Calls

5 calls:

28.0ms
b
18.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
7.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
7.0ms
r
7.0ms
a
Results
AccuracySegmentsBranch
59.5%1r
59.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
59.5%1a
63.4%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
63.5%3b
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes23.0ms (0.2%)

Memory
-16.3MiB live, 20.1MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 r #s(approx (/ (cos (/ 1 (/ (- b a) (* (+ a b) (- b a))))) (sin b)) (/.f64 (cos.f64 a) b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 a)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (pow.f64 (*.f64 (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b)) #s(literal -1/2 binary64))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
Calls

2 calls:

15.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
6.0ms
b
Results
AccuracySegmentsBranch
63.3%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
63.4%3b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) #s(approx (cos b) #s(literal 1 binary64)))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))
Calls

2 calls:

5.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
b
Results
AccuracySegmentsBranch
63.3%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
63.3%3b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes37.0ms (0.3%)

Memory
-5.7MiB live, 31.9MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
Calls

4 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
b
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
59.5%1r
59.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
59.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
59.5%1b
Compiler

Compiled 18 to 21 computations (-16.7% saved)

regimes20.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (*.f64 (/.f64 r (cos.f64 a)) b))
Outputs
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Calls

5 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
r
4.0ms
b
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
a
Results
AccuracySegmentsBranch
59.5%1a
59.5%1r
59.5%1b
59.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
59.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

regimes22.0ms (0.2%)

Memory
-22.0MiB live, 22.3MiB allocated
Accuracy

Total -1.5b remaining (-3.8%)

Threshold costs -1.5b (-3.8%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) #s(literal 1 binary64)) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) #s(literal 1 binary64))) b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 #s(literal 1 binary64) #s(approx (/ (cos a) b) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) b) a) a (/.f64 #s(literal -1/2 binary64) b)) (*.f64 a a) (/.f64 #s(literal 1 binary64) b))))))
Outputs
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

10.0ms
r
3.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
37.9%1a
37.9%1r
37.9%1b
37.9%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
37.9%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 19 to 24 computations (-26.3% saved)

bsearch52.0ms (0.4%)

Memory
7.6MiB live, 45.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
7.905422529236975e-14
7.364623388769883e-8
18.0ms
-12.251282453305803
-0.0010934944672337955
Samples
29.0ms131×1valid
9.0ms141×0valid
Compiler

Compiled 539 to 456 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 13.0ms (43.6% of total)
ival-cos: 7.0ms (23.5% of total)
ival-sin: 3.0ms (10.1% of total)
ival-add: 2.0ms (6.7% of total)
adjust: 2.0ms (6.7% of total)
ival-mult: 2.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch63.0ms (0.5%)

Memory
-11.6MiB live, 108.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
9.052806168750002e-6
209.54578542340238
33.0ms
-3.4854472164648204e+21
-1879487204533.9077
Samples
34.0ms193×1valid
9.0ms95×0valid
Compiler

Compiled 732 to 608 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-cos: 11.0ms (32.1% of total)
ival-sin: 10.0ms (29.2% of total)
ival-mult: 4.0ms (11.7% of total)
ival-add: 3.0ms (8.8% of total)
ival-div: 3.0ms (8.8% of total)
adjust: 3.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
5.5MiB live, 79.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
209.54578542340238
7580592417.052752
19.0ms
-12.251282453305803
-0.0010934944672337955
Samples
20.0ms127×1valid
15.0ms129×0valid
Compiler

Compiled 573 to 490 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 10.0ms (35.7% of total)
ival-sin: 9.0ms (32.1% of total)
ival-add: 2.0ms (7.1% of total)
ival-div: 2.0ms (7.1% of total)
adjust: 2.0ms (7.1% of total)
ival-mult: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory
15.1MiB live, 52.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.052806168750002e-6
209.54578542340238
7.0ms
-12.251282453305803
-0.0010934944672337955
Samples
13.0ms75×1valid
7.0ms69×0valid
Compiler

Compiled 590 to 507 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-cos: 5.0ms (33.4% of total)
ival-sin: 4.0ms (26.7% of total)
ival-div: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
adjust: 1.0ms (6.7% of total)
ival-mult: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify92.0ms (0.7%)

Memory
-13.5MiB live, 75.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109399
1146399
2174399
3200399
4240399
5317399
6411399
7590399
8753399
9881399
101056399
111218399
121382399
131538399
141648399
151725399
161769399
171809399
181822399
191826399
201826399
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin 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 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/75557863725914323419136 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -105000000000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -4 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 260 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
Outputs
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
#s(approx (* r (/ (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin 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) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))))) (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (sin.f64 b) r)) (+.f64 (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)) (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cos.f64 (-.f64 a b)) (*.f64 r (sin.f64 b))) (+.f64 (cos.f64 (-.f64 b (-.f64 a (+.f64 a b)))) (cos.f64 (-.f64 (-.f64 (-.f64 b a) b) a)))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/75557863725914323419136 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -5072854620270127/4611686018427387904 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 5440166188265831/75557863725914323419136 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -105000000000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -105000000000000 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 2589569785738035/562949953421312 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -4 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 260 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 b r)) (cos.f64 (+.f64 a b))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 260 binary64)) (/.f64 #s(approx (* (sin b) r) (*.f64 r b)) (cos.f64 (+.f64 a b))) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 2 binary64)) (*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -5404319552844595/1125899906842624 binary64)) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r) (if (<=.f64 b #s(literal 2 binary64)) (*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r) (*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* (neg b) (sin a)) (cos a)) #s(literal 1 binary64)))) r)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))) r)
#s(approx (/ r (/ (cos (+ a b)) (sin b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b #s(approx (cos a) #s(literal 1 binary64)))) r)

soundness1.3s (10.7%)

Memory
28.3MiB live, 1 022.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034191
062202
1201160
21332160
08421160
0822
01322
14422
223422
3198522
01021222
05016912
116196490
250296360
089616131
06718273
120577964
260427883
082337668
02151226
16601174
220651116
377131116
082891075
054288
090296
1340201
22879201
010368197
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 798 to 380 computations (52.4% saved)

preprocess178.0ms (1.4%)

Memory
-20.0MiB live, 137.0MiB allocated
Remove

(negabs r)

Compiler

Compiled 1 072 to 424 computations (60.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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