rsin B (should all be same)

Time bar (total: 11.9s)

analyze289.0ms (2.4%)

Memory
5.0MiB live, 399.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.8s (14.9%)

Memory
-59.8MiB live, 2 335.8MiB allocated
Samples
1.0s5 802×1valid
178.0ms2 454×0valid
Precisions
Click to see histograms. Total time spent on operations: 952.0ms
ival-cos: 308.0ms (32.4% of total)
ival-sin: 240.0ms (25.2% of total)
adjust: 129.0ms (13.6% of total)
ival-mult: 102.0ms (10.7% of total)
ival-add: 90.0ms (9.5% of total)
ival-div: 72.0ms (7.6% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess105.0ms (0.9%)

Memory
-21.4MiB live, 60.6MiB allocated
Algorithm
egg-herbie
Rules
654×times-frac
520×associate-*r*
518×unsub-neg
466×distribute-rgt-in
464×associate-*l*
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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
Symmetry

(negabs r)

explain134.0ms (1.1%)

Memory
7.8MiB live, 243.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
69118(1.3772868267582802e-25 5.491722832494997e-289 2.5291807547845338e+209)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))sensitivity1871
Confusion
Predicted +Predicted -
+700
-11769
Precision
0.37433155080213903
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-117168
Precision?
0.3723404255319149
Recall?
1.0
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms348×1valid
12.0ms164×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-cos: 18.0ms (33.9% of total)
ival-sin: 14.0ms (26.4% of total)
adjust: 6.0ms (11.3% of total)
ival-add: 5.0ms (9.4% of total)
ival-mult: 5.0ms (9.4% of total)
ival-div: 4.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify4.0ms (0%)

Memory
11.8MiB live, 11.8MiB 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))))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
lower-/.f64
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 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(cos.f64 (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a

localize253.0ms (2.1%)

Memory
-25.9MiB live, 66.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy99.6%
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy77.8%
(cos.f64 (+.f64 a b))
Samples
33.0ms174×1valid
6.0ms82×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 8.0ms (28.6% of total)
ival-sin: 7.0ms (25% of total)
ival-add: 5.0ms (17.9% of total)
adjust: 3.0ms (10.7% of total)
ival-mult: 3.0ms (10.7% of total)
ival-div: 2.0ms (7.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))>
#<alt (sin.f64 b)>
#<alt (cos.f64 (+.f64 a b))>
Outputs
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
Calls

24 calls:

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

simplify315.0ms (2.6%)

Memory
-11.7MiB live, 458.0MiB allocated
Algorithm
egg-herbie
Rules
9 408×lower-fma.f64
9 408×lower-fma.f32
5 356×lower-*.f64
5 356×lower-*.f32
2 876×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
Stop Event
iter limit
node limit
Counts
96 → 95
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 r (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (sin.f64 a) (/.f64 (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (cos.f64 a)))) (neg.f64 b) (fma.f64 (/.f64 r (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (-.f64 (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ b (cos a))
(/.f64 b (cos.f64 a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 b (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (*.f64 b (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos b))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b)))))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(fma.f64 a (fma.f64 a (*.f64 (neg.f64 a) (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (fma.f64 a (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (neg.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (-.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 b))))))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (+ a b)))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (- b (* -1 a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))

rewrite438.0ms (3.7%)

Memory
-0.9MiB live, 476.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 400×lower-*.f32
6 398×lower-*.f64
4 812×lower-/.f32
4 810×lower-/.f64
3 770×lower-fma.f64
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
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))) r))
(neg.f64 (*.f64 r (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal -1 binary64)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1 binary64)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (*.f64 #s(literal -1 binary64) r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) #s(literal -1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) (sin.f64 a)))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (cos.f64 (-.f64 a b))) (*.f64 (cos.f64 (-.f64 a b)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 a b))))))
(pow.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (cos.f64 (+.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 b a))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b))))))
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b))))

eval39.0ms (0.3%)

Memory
25.7MiB live, 62.1MiB allocated
Compiler

Compiled 4 900 to 748 computations (84.7% saved)

prune120.0ms (1%)

Memory
-6.5MiB live, 151.7MiB allocated
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New21639255
Fresh000
Picked011
Done000
Total21640256
Accuracy
99.8%
Counts
256 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
77.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
77.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
77.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
77.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
77.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
77.6%
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
46.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
77.5%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
98.4%
(*.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 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
37.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
45.5%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
45.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
67.1%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
67.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
66.9%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
46.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
68.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
48.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
44.0%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
44.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
44.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
77.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
77.6%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
77.7%
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
66.0%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))
44.3%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
44.5%
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
43.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
65.9%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
66.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
68.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Compiler

Compiled 1 642 to 952 computations (42% saved)

simplify276.0ms (2.3%)

Memory
-44.1MiB live, 378.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
cost-diff6080
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
cost-diff128
(neg.f64 (-.f64 a b))
cost-diff128
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
cost-diff1280
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 b (/.f64 r (cos.f64 a)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
7 994×lower-fma.f32
7 992×lower-fma.f64
2 826×lower-*.f32
2 806×lower-*.f64
1 422×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039303
068285
1109284
2198270
3404267
4991267
53380267
66387267
08125267
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(sin.f64 b)
b
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 b a)
a
(-.f64 a b)
(neg.f64 (-.f64 a b))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/.f64 (sin.f64 b) (fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(fma.f64 (sin.f64 a) (sin.f64 (neg.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 (*.f64 r b) (cos.f64 a))
b
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (+.f64 b a))
(+.f64 b a)
a
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(-.f64 (neg.f64 b) a)
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 b a)
a
(-.f64 a b)
(neg.f64 (-.f64 a b))
(-.f64 b a)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))))
r
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))))
(sin.f64 b)
b
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
#s(approx (cos (+ a b)) (-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(-.f64 (*.f64 (cos.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64))) (*.f64 b (sin.f64 a)))
(-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) #s(literal -1/2 binary64))
(cos.f64 a)
a
#s(literal -1/2 binary64)
(sin.f64 a)

localize265.0ms (2.2%)

Memory
38.0MiB live, 514.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
accuracy99.6%
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
accuracy44.5%
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
accuracy99.6%
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
accuracy77.8%
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
accuracy52.2%
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
accuracy100.0%
(sin.f64 b)
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
accuracy77.8%
(cos.f64 (+.f64 b a))
accuracy100.0%
(cos.f64 a)
accuracy99.9%
(*.f64 b (/.f64 r (cos.f64 a)))
accuracy99.8%
(/.f64 r (cos.f64 a))
accuracy44.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
accuracy99.8%
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.6%
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
Samples
151.0ms178×1valid
38.0ms78×0valid
Compiler

Compiled 257 to 37 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-cos: 47.0ms (33.7% of total)
ival-mult: 37.0ms (26.6% of total)
ival-sin: 16.0ms (11.5% of total)
ival-div: 14.0ms (10.1% of total)
adjust: 12.0ms (8.6% of total)
ival-sub: 6.0ms (4.3% of total)
ival-add: 6.0ms (4.3% of total)
ival-neg: 2.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series109.0ms (0.9%)

Memory
-2.1MiB live, 150.4MiB allocated
Counts
22 → 576
Calls
Call 1
Inputs
#<alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt (sin.f64 b)>
#<alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))>
#<alt (*.f64 b (/.f64 r (cos.f64 a)))>
#<alt (/.f64 r (cos.f64 a))>
#<alt (cos.f64 a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))>
#<alt (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))>
#<alt (neg.f64 (-.f64 a b))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))>
#<alt (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))>
#<alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))>
#<alt (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))>
#<alt #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))>
#<alt (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
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#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))>
#<alt (* -1/2 (* (pow b 2) (cos a)))>
#<alt (* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))>
#<alt (* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))>
#<alt (+ 1 (* -1/2 (pow b 2)))>
#<alt (+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))>
#<alt (+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos (- a (* -1 b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (+ a b)))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (/ (sin b) (cos (- b (* -1 a))))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (/ b (cos (* -1 a)))>
#<alt (* b (+ (/ 1 (cos (* -1 a))) (/ (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))>
#<alt (* b (+ (* b (- (* b (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (+ (* b (- (/ (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a))))))))) (cos (* -1 a)))) (+ (* -1 (/ (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (cos (* -1 a)))) (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))))) (pow (cos (* -1 a)) 3)))))) (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2))) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos (- b (* -1 a)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (+ a b))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (cos (- a (* -1 b)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 b)>
#<alt (+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))>
#<alt (+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
#<alt (* -1/2 (* b (cos a)))>
Calls

144 calls:

TimeVariablePointExpression
42.0ms
b
@inf
(* r (/ (sin b) (cos (/ (* (+ b a) (- a b)) (neg (- a b))))))
8.0ms
b
@0
(+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a))
6.0ms
r
@0
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))
4.0ms
b
@-inf
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
2.0ms
a
@0
(/ (sin b) (cos (/ (* (+ b a) (- a b)) (neg (- a b)))))

simplify778.0ms (6.5%)

Memory
1.6MiB live, 660.7MiB allocated
Algorithm
egg-herbie
Rules
10 518×lower-fma.f64
10 518×lower-fma.f32
8 130×lower-*.f64
8 130×lower-*.f32
3 094×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06908235
121817680
276877580
090087353
Stop Event
iter limit
node limit
Counts
576 → 571
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
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(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))
(/ (* r (sin b)) (cos (* -1 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 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)) (* -1/2 (* b (cos a))))))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* (pow b 2) (- (+ (* -1/2 (cos a)) (/ (cos a) (pow b 2))) (/ (sin a) b)))
(* -1/2 (* (pow b 2) (cos a)))
(* (pow b 2) (+ (* -1 (/ (sin a) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(* (pow b 2) (+ (* -1 (/ (+ (sin a) (* -1 (/ (cos a) b))) b)) (* -1/2 (cos a))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (+ (* -1 (* a b)) (* -1/2 (pow b 2))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (* 1/4 (pow b 2)) 1/2))))))
(+ 1 (+ (* -1/2 (pow b 2)) (* a (+ (* -1 b) (* a (- (+ (* 1/6 (* a b)) (* 1/4 (pow b 2))) 1/2))))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ b (cos a))
(* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos (- a (* -1 b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (+ a b)))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(/ (sin b) (cos (- b (* -1 a))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(/ b (cos (* -1 a)))
(* b (+ (/ 1 (cos (* -1 a))) (/ (* b (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1))) (pow (cos (* -1 a)) 2))))
(* b (+ (* b (- (* b (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* b (- (/ (* (sin (* -1 a)) (- (+ (* -1/6 (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 3)) (/ 1 (pow a 2))) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) (pow a 2))))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2)) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a))))))))) (cos (* -1 a)))) (+ (* -1 (/ (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (cos (* -1 a)))) (/ (* (sin (* -1 a)) (* (- (* -1 (/ (+ a (* -1 a)) a)) 1) (- (* -1/2 (* (cos (* -1 a)) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2))) (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a))))))) (pow (cos (* -1 a)) 3)))))) (/ (* (sin (* -1 a)) (- (/ 1 a) (* -1 (/ (- (* -1 (/ (+ a (* -1 a)) a)) 1) a)))) (pow (cos (* -1 a)) 2))) (+ (* -1 (/ (* (pow (sin (* -1 a)) 2) (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2)) (pow (cos (* -1 a)) 3))) (+ (* -1/2 (/ (pow (- (* -1 (/ (+ a (* -1 a)) a)) 1) 2) (cos (* -1 a)))) (* 1/6 (/ 1 (cos (* -1 a)))))))) (* -1 (/ (* (sin (* -1 a)) (- (* -1 (/ (+ a (* -1 a)) a)) 1)) (pow (cos (* -1 a)) 2))))) (/ 1 (cos (* -1 a)))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 b)))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos (- b (* -1 a)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (+ a b))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(cos (- a (* -1 b)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 b)
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
(* -1/2 (* b (cos a)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(/.f64 (*.f64 r b) (cos.f64 a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (-.f64 (*.f64 r (/.f64 (*.f64 (sin.f64 a) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (cos.f64 a)))) (neg.f64 b) (-.f64 (*.f64 (/.f64 r (cos.f64 a)) #s(literal -1/6 binary64)) (fma.f64 r (/.f64 #s(literal -1/2 binary64) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (neg.f64 (pow.f64 (cos.f64 a) #s(literal 3 binary64))))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
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(fma.f64 (*.f64 b b) (fma.f64 b (fma.f64 b (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 a a)) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) #s(literal -1/6 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 a a)))) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (fma.f64 (sin.f64 a) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (cos.f64 a))) (fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (fma.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (*.f64 (sin.f64 a) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a))))) (/.f64 (sin.f64 (neg.f64 a)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a))) (cos.f64 a))))) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) a)) (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (cos.f64 a)) (/.f64 #s(literal 1/6 binary64) (cos.f64 a))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a)) (pow.f64 (sin.f64 a) #s(literal 2 binary64)))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) a))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
(fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(fma.f64 a (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (neg.f64 a) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (cos.f64 b)) (*.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal 1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (/ (* (+ a b) (- a b)) (- b a))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (-.f64 b a))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/2 binary64) (cos.f64 b) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 b) a)))) (sin.f64 b)) (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 b a))
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 b (*.f64 (sin.f64 a) #s(literal 1/6 binary64)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 a))) (cos.f64 a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (+ a b))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 b a))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 b)
(*.f64 b #s(literal -1/2 binary64))
(+ (* -1/2 b) (* 1/4 (* (pow a 2) b)))
(*.f64 b (fma.f64 #s(literal 1/4 binary64) (*.f64 a a) #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* -1/48 (* (pow a 2) b)) (* 1/4 b))))
(fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(+ (* -1/2 b) (* (pow a 2) (+ (* 1/4 b) (* (pow a 2) (+ (* -1/48 b) (* 1/1440 (* (pow a 2) b)))))))
(fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 b (fma.f64 #s(literal 1/1440 binary64) (*.f64 a a) #s(literal -1/48 binary64))) (*.f64 b #s(literal 1/4 binary64))) (*.f64 b #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(* -1/2 (* b (cos a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))

rewrite380.0ms (3.2%)

Memory
-1.5MiB live, 681.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 218×lower-fma.f32
5 216×lower-fma.f64
4 842×lower-*.f32
4 824×lower-*.f64
4 720×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039237
068189
1231181
21524181
08414181
Stop Event
iter limit
node limit
iter limit
Counts
22 → 736
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
(*.f64 b (/.f64 r (cos.f64 a)))
(/.f64 r (cos.f64 a))
(cos.f64 a)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 r (sin.f64 b))
(cos.f64 (+.f64 b a))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))
(cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))
(neg.f64 (-.f64 a b))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))))
(*.f64 (sin.f64 b) (sin.f64 a))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b)))))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
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(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))))
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) r))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) r)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (sin.f64 (neg.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(literal -1 binary64)) (/.f64 r #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))) (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(pow.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a))))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 a) (cos.f64 b))) #s(literal 2 binary64)) (/.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (fma.f64 (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (neg.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
#s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a))) (sin.f64 a)) (cos.f64 a)))
(*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 a) (*.f64 #s(literal -1/2 binary64) b))
(*.f64 #s(literal -1/2 binary64) (*.f64 b (cos.f64 a)))
(*.f64 (*.f64 (cos.f64 a) #s(literal -1/2 binary64)) b)
(*.f64 (*.f64 b (cos.f64 a)) #s(literal -1/2 binary64))
(*.f64 (*.f64 b #s(literal -1/2 binary64)) (cos.f64 a))

eval343.0ms (2.9%)

Memory
10.0MiB live, 383.2MiB allocated
Compiler

Compiled 33 118 to 2 777 computations (91.6% saved)

prune194.0ms (1.6%)

Memory
-14.2MiB live, 491.4MiB allocated
Pruning

68 alts after pruning (65 fresh and 3 done)

PrunedKeptTotal
New1 343511 394
Fresh201434
Picked325
Done011
Total1 366681 434
Accuracy
99.9%
Counts
1 434 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
46.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
68.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
48.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
44.1%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
44.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
44.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
44.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
77.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
77.6%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
77.6%
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.6%
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
77.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
77.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
46.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
77.5%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
48.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))
52.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
71.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
70.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
67.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
67.2%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
67.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
70.6%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
37.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
31.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (-.f64 b a))))))
28.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
72.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
40.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
72.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
23.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
30.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)))))))))
68.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))))
48.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
45.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
44.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
44.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
77.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
77.6%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
66.0%
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))
44.5%
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
43.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
65.7%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
66.4%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (fma.f64 a (fma.f64 a (neg.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
44.5%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
44.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
33.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
30.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
35.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 2 701 to 1 604 computations (40.6% saved)

simplify237.0ms (2%)

Memory
-0.4MiB live, 178.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff128
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))
cost-diff448
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
cost-diff448
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
cost-diff128
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
cost-diff0
#s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
cost-diff0
(*.f64 r b)
cost-diff0
#s(approx (* b (/ r (cos a))) (*.f64 r b))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
cost-diff0
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Rules
2 320×lower-fma.f32
2 314×lower-fma.f64
1 680×lower-*.f32
1 658×lower-*.f64
1 014×times-frac
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
053361
088332
1135328
2199322
3323319
4654317
51041317
61503317
72513317
84412315
94893315
105054315
115111315
125133315
135133315
145561315
155772315
165774315
175774315
185774315
05774315
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
r
(/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))
(sin.f64 b)
b
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
a
(*.f64 a a)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))
(fma.f64 b b (*.f64 a (-.f64 a b)))
(*.f64 a (-.f64 a b))
(-.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
r
(/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
(sin.f64 b)
b
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (+.f64 b a))
#s(literal -1 binary64)
(+.f64 b a)
a
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(sin.f64 (neg.f64 b))
(neg.f64 b)
(sin.f64 a)
a
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(cos.f64 b)
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
r
b
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
r
(/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
(sin.f64 b)
b
#s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))
(cos.f64 a)
a
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
r
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (-.f64 b a) (*.f64 a a)))))
(sin.f64 b)
b
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
(cos.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (-.f64 b a) (*.f64 a a))))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(/.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (fma.f64 b (-.f64 a b) (*.f64 a (neg.f64 a))))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a)))
a
(*.f64 a a)
(*.f64 b (*.f64 b b))
(*.f64 b b)
(neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))
(fma.f64 b (-.f64 a b) (*.f64 a (neg.f64 a)))
(fma.f64 b b (*.f64 a (-.f64 a b)))
(fma.f64 b (-.f64 b a) (*.f64 a a))
(*.f64 a (-.f64 a b))
(-.f64 a b)
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
r
(/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(sin.f64 b)
b
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))
(cos.f64 (+.f64 b a))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))
(-.f64 (neg.f64 b) a)
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))
(log.f64 (-.f64 (neg.f64 b) a))
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))
(/.f64 #s(literal -1 binary64) (+.f64 b a))
#s(literal -1 binary64)
(+.f64 b a)
a

localize273.0ms (2.3%)

Memory
34.1MiB live, 456.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
accuracy95.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))
accuracy89.0%
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))
accuracy98.4%
(fma.f64 b b (*.f64 a (-.f64 a b)))
accuracy98.0%
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
accuracy89.0%
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
accuracy67.2%
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
accuracy100.0%
(cos.f64 a)
accuracy99.8%
(/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
accuracy73.1%
#s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))
accuracy100.0%
(*.f64 r b)
accuracy86.1%
#s(approx (* b (/ r (cos a))) (*.f64 r b))
accuracy71.1%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
accuracy99.9%
(*.f64 (cos.f64 a) (cos.f64 b))
accuracy99.9%
(*.f64 r (sin.f64 b))
accuracy99.9%
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
accuracy99.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
Samples
101.0ms92×1valid
57.0ms119×0invalid
22.0ms45×0valid
Compiler

Compiled 352 to 49 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-cos: 36.0ms (25.5% of total)
ival-mult: 31.0ms (22% of total)
ival-sin: 19.0ms (13.5% of total)
ival-div: 16.0ms (11.3% of total)
ival-add: 13.0ms (9.2% of total)
adjust: 7.0ms (5% of total)
ival-exp: 6.0ms (4.3% of total)
ival-log: 6.0ms (4.3% of total)
ival-sub: 3.0ms (2.1% of total)
ival-neg: 3.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (0.6%)

Memory
-46.4MiB live, 126.1MiB allocated
Counts
24 → 624
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))>
#<alt #s(approx (* b (/ r (cos a))) (*.f64 r b))>
#<alt (*.f64 r b)>
#<alt (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))>
#<alt (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))>
#<alt #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))>
#<alt (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))>
#<alt (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))>
#<alt (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))>
#<alt (*.f64 (cos.f64 a) (cos.f64 b))>
#<alt (cos.f64 a)>
#<alt (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))>
#<alt (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))>
#<alt (fma.f64 b b (*.f64 a (-.f64 a b)))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))>
#<alt (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))>
Outputs
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))>
#<alt (+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* a (sin (neg b))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))>
#<alt (+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (- a (* -1 b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* r (sin b)) (cos (- b (* -1 a))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (+ (* 1/2 (* (pow a 2) (* b r))) (* b r))>
#<alt (+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (/ (* b r) (cos a))>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (* b r)>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
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#<alt (+ (log (/ -1 a)) (* -1 (/ b a)))>
#<alt (+ (log (/ -1 a)) (* b (- (* 1/2 (/ b (pow a 2))) (/ 1 a))))>
#<alt (+ (log (/ -1 a)) (* b (- (* b (+ (* -1/3 (/ b (pow a 3))) (* 1/2 (/ 1 (pow a 2))))) (/ 1 a))))>
#<alt (+ (log -1) (log (/ 1 b)))>
#<alt (+ (log -1) (+ (log (/ 1 b)) (* -1 (/ a b))))>
#<alt (+ (log -1) (+ (log (/ 1 b)) (+ (* -1 (/ a b)) (* 1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2))))))>
#<alt (+ (log -1) (+ (log (/ 1 b)) (+ (* -1 (/ a b)) (+ (* 1/6 (/ (+ (* -6 (pow a 3)) (+ (* -2 (pow a 3)) (* 6 (pow a 3)))) (pow b 3))) (* 1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) (pow b 2)))))))>
#<alt (log (/ -1 b))>
#<alt (+ (log (/ -1 b)) (* -1 (/ a b)))>
#<alt (+ (log (/ -1 b)) (* -1 (/ (+ a (* -1/2 (/ (+ (* -1 (pow a 2)) (* 2 (pow a 2))) b))) b)))>
#<alt (+ (log (/ -1 b)) (* -1 (/ (+ a (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow a 3)) (+ (* 2 (pow a 3)) (* 6 (pow a 3)))) b)) (* 1/2 (+ (* -1 (pow a 2)) (* 2 (pow a 2))))) b))) b)))>
#<alt (log (/ -1 b))>
#<alt (+ (log (/ -1 b)) (* -1 (/ a b)))>
#<alt (+ (log (/ -1 b)) (* a (- (* 1/2 (/ a (pow b 2))) (/ 1 b))))>
#<alt (+ (log (/ -1 b)) (* a (- (* a (+ (* -1/3 (/ a (pow b 3))) (* 1/2 (/ 1 (pow b 2))))) (/ 1 b))))>
#<alt (+ (log -1) (log (/ 1 a)))>
#<alt (+ (log -1) (+ (log (/ 1 a)) (* -1 (/ b a))))>
#<alt (+ (log -1) (+ (log (/ 1 a)) (+ (* -1 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2))))))>
#<alt (+ (log -1) (+ (log (/ 1 a)) (+ (* -1 (/ b a)) (+ (* 1/6 (/ (+ (* -6 (pow b 3)) (+ (* -2 (pow b 3)) (* 6 (pow b 3)))) (pow a 3))) (* 1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) (pow a 2)))))))>
#<alt (log (/ -1 a))>
#<alt (+ (log (/ -1 a)) (* -1 (/ b a)))>
#<alt (+ (log (/ -1 a)) (* -1 (/ (+ b (* -1/2 (/ (+ (* -1 (pow b 2)) (* 2 (pow b 2))) a))) a)))>
#<alt (+ (log (/ -1 a)) (* -1 (/ (+ b (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow b 3)) (+ (* 2 (pow b 3)) (* 6 (pow b 3)))) a)) (* 1/2 (+ (* -1 (pow b 2)) (* 2 (pow b 2))))) a))) a)))>
#<alt (cos (* -1 a))>
#<alt (+ (cos (* -1 a)) (* b (sin (* -1 a))))>
#<alt (+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))>
#<alt (+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (- a (* -1 b))))>
#<alt (cos (* -1 (- a (* -1 b))))>
#<alt (cos (* -1 (- a (* -1 b))))>
#<alt (cos (* -1 (- a (* -1 b))))>
#<alt (cos (* -1 b))>
#<alt (+ (cos (* -1 b)) (* a (sin (* -1 b))))>
#<alt (+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))>
#<alt (+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (+ a b)))>
#<alt (cos (* -1 (- b (* -1 a))))>
#<alt (cos (* -1 (- b (* -1 a))))>
#<alt (cos (* -1 (- b (* -1 a))))>
#<alt (cos (* -1 (- b (* -1 a))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1/2 (* (pow a 2) (cos b))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))>
#<alt (+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1/2 (* (pow b 2) (cos a))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))>
#<alt (+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt (* (cos a) (cos b))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow a 2)))>
#<alt (+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))>
#<alt (+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (cos a)>
#<alt (* -1 b)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (* -1 a)>
#<alt (* a (- (* -1 (/ b a)) 1))>
#<alt (* a (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))))>
#<alt (* a (- (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3))) (+ 1 (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ b a) (/ (pow b 2) (pow a 2)))))))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (/ b a))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a) (pow b 2))) a))) a)))))>
#<alt (* -1 a)>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (+ (* -1 a) (* -1 b))>
#<alt (* -1 b)>
#<alt (* b (- (* -1 (/ a b)) 1))>
#<alt (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))>
#<alt (* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3)) (/ (pow a 2) (pow b 2))))) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (/ a b))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))>
#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (+ (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b) (pow a 2))) b))) b)))))>
#<alt (pow b 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))>
#<alt (pow a 3)>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (+ (pow a 3) (pow b 3))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))>
#<alt (pow a 2)>
#<alt (+ (* -1 (* a b)) (pow a 2))>
#<alt (+ (* b (+ b (* -1 a))) (pow a 2))>
#<alt (+ (* b (+ b (* -1 a))) (pow a 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* -1 (/ a b)) (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -1 (/ a b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))>
#<alt (* (pow b 2) (+ 1 (* -1 (/ (+ a (* -1 (/ (pow a 2) b))) b))))>
#<alt (pow b 2)>
#<alt (+ (* -1 (* a b)) (pow b 2))>
#<alt (+ (* a (+ a (* -1 b))) (pow b 2))>
#<alt (+ (* a (+ a (* -1 b))) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ b a))))>
#<alt (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt (* (pow a 2) (- (+ 1 (/ (pow b 2) (pow a 2))) (/ b a)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* -1 (/ b a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (+ b (* -1 (/ (pow b 2) a))) a))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* b r) (cos (* -1 a)))>
#<alt (* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* -1/6 (/ r (cos (* -1 a)))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (cos (* -1 a))))))) (* -1/6 (/ r (cos (* -1 a))))) (+ (* -1 (/ (* r (pow (sin (* -1 a)) 2)) (pow (cos (* -1 a)) 3))) (* -1/2 (/ r (cos (* -1 a))))))) (/ (* r (sin (* -1 a))) (pow (cos (* -1 a)) 2)))) (/ r (cos (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (* r (sin b)) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (+ a b))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ b (cos (* -1 a)))>
#<alt (* b (+ (* -1 (/ (* b (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ 1 (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (cos (* -1 a))))))) (* 1/2 (/ 1 (cos (* -1 a))))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 (- a (* -1 b)))))>
#<alt (/ (sin b) (cos (* -1 b)))>
#<alt (+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (+ a b))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
#<alt (/ (sin b) (cos (* -1 (- b (* -1 a)))))>
Calls

156 calls:

TimeVariablePointExpression
17.0ms
a
@inf
(/ (sin b) (cos (exp (* (log (/ -1 (+ b a))) -1))))
7.0ms
b
@inf
(/ (sin b) (cos (/ (+ (* a (* a a)) (* b (* b b))) (neg (+ (* b b) (* a (- a b)))))))
4.0ms
r
@0
(/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))))
3.0ms
r
@0
(* r (/ (sin b) (cos (/ (+ (* a (* a a)) (* b (* b b))) (neg (+ (* b b) (* a (- a b))))))))
2.0ms
b
@inf
(* (log (/ -1 (+ b a))) -1)

simplify430.0ms (3.6%)

Memory
11.4MiB live, 597.7MiB allocated
Algorithm
egg-herbie
Rules
10 178×lower-fma.f64
10 178×lower-fma.f32
6 574×lower-*.f64
6 574×lower-*.f32
4 088×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09039397
128268515
088458243
Stop Event
iter limit
node limit
Counts
624 → 623
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/ (* r (sin b)) (cos b))
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1
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(/ b (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (cos (* -1 a))))))) (* 1/2 (/ 1 (cos (* -1 a))))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/ (sin b) (cos (* -1 b)))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (+ a b))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
Outputs
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 b (/.f64 r (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 (fma.f64 (sin.f64 (neg.f64 a)) (/.f64 (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)) (*.f64 (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 b) (-.f64 (/.f64 (*.f64 r #s(literal -1/6 binary64)) (cos.f64 a)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) r) (cos.f64 a)) (/.f64 (*.f64 r (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (neg b))))) (pow (cos b) 2))) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) (neg.f64 a) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (neg b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b))) (+ (* -1/6 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))) (* 1/2 (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (neg b)) 2))) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (/ (* r (* (sin b) (sin (neg b)))) (pow (cos b) 2)))) (/ (* r (sin b)) (cos b)))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 r (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (/.f64 (*.f64 (sin.f64 b) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)))) (cos.f64 b))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin (neg b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)) (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 a))) (cos.f64 a))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (* -1 b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(cos b)
(cos.f64 b)
(+ (cos b) (* a (sin (neg b))))
(-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))
(+ (cos b) (* a (+ (sin (neg b)) (* -1/2 (* a (cos b))))))
(fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))
(+ (cos b) (* a (+ (sin (neg b)) (* a (+ (* -1/2 (cos b)) (* -1/6 (* a (sin (neg b)))))))))
(fma.f64 a (-.f64 (*.f64 a (fma.f64 (sin.f64 (neg.f64 b)) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (cos.f64 b) #s(literal -1/2 binary64)))) (sin.f64 b)) (cos.f64 b))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
(+ (* (cos a) (cos b)) (* (sin a) (sin (neg b))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
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(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))) (neg.f64 a) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* r (* (sin b) (pow (sin (* -1 b)) 2))) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (* r (sin b)) (cos (* -1 b))))))) (/ (* r (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2)))) (/ (* r (sin b)) (cos (* -1 b))))
(fma.f64 r (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 r (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (/.f64 (*.f64 (sin.f64 b) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b)))) (cos.f64 b))) (fma.f64 (neg.f64 r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 r (sin.f64 b))) (cos.f64 b))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (+ a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ (* r (sin b)) (cos (* -1 (- b (* -1 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/ b (cos (* -1 a)))
(/.f64 b (cos.f64 a))
(* b (+ (* -1 (/ (* b (sin (* -1 a))) (pow (cos (* -1 a)) 2))) (/ 1 (cos (* -1 a)))))
(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 (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(fma.f64 (*.f64 b b) (fma.f64 b (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1/6 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (+ (* 1/2 (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2))) (/ (* (sin (* -1 a)) (- (* 1/2 (/ 1 (cos (* -1 a)))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (cos (* -1 a))))))) (* 1/2 (/ 1 (cos (* -1 a))))) (+ (* -1 (/ (pow (sin (* -1 a)) 2) (pow (cos (* -1 a)) 3))) (* 1/6 (/ 1 (cos (* -1 a))))))) (/ (sin (* -1 a)) (pow (cos (* -1 a)) 2)))) (/ 1 (cos (* -1 a)))))
(fma.f64 (*.f64 b b) (fma.f64 b (fma.f64 (neg.f64 b) (fma.f64 (neg.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (/.f64 (*.f64 (sin.f64 (neg.f64 a)) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (cos.f64 a))) (-.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 a)) (-.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 a)) (/.f64 (pow.f64 (sin.f64 (neg.f64 a)) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 b (cos.f64 a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- a (* -1 b)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 b)))
(/.f64 (sin.f64 b) (cos.f64 b))
(+ (* -1 (/ (* a (* (sin b) (sin (* -1 b)))) (pow (cos (* -1 b)) 2))) (/ (sin b) (cos (* -1 b))))
(fma.f64 a (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(fma.f64 a (fma.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (sin (* -1 b)) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b)))))) (cos (* -1 b)))) (+ (* -1/6 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))) (* 1/2 (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2))))))) (+ (* -1 (/ (* (sin b) (pow (sin (* -1 b)) 2)) (pow (cos (* -1 b)) 3))) (* -1/2 (/ (sin b) (cos (* -1 b))))))) (/ (* (sin b) (sin (* -1 b))) (pow (cos (* -1 b)) 2)))) (/ (sin b) (cos (* -1 b))))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b)) (/.f64 (pow.f64 (sin.f64 b) #s(literal 3 binary64)) (pow.f64 (cos.f64 b) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (cos.f64 b)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (+ a b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/ (sin b) (cos (* -1 (- b (* -1 a)))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))

rewrite303.0ms (2.5%)

Memory
39.9MiB live, 537.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 236×lower-*.f32
4 216×lower-*.f64
4 096×lower-/.f32
4 086×lower-/.f64
3 526×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053293
088199
1277164
21827162
08580162
Stop Event
iter limit
node limit
iter limit
Counts
24 → 681
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* b (/ r (cos a))) (*.f64 r b))
(*.f64 r b)
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)))
#s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))
(cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)))
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b)))))
(fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))
(fma.f64 b b (*.f64 a (-.f64 a b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
(/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
(sin.f64 b)
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(+.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 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 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 b a))))
(cos.f64 (+.f64 b a))
(cos.f64 (-.f64 (neg.f64 b) a))
(cos.f64 (-.f64 a (neg.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))
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(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 a (*.f64 a a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) (neg.f64 (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a))) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (*.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))
(pow.f64 (/.f64 (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b)))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (+.f64 b a))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 a a) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (-.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a a)))))))
(*.f64 (fma.f64 b (-.f64 b a) (*.f64 a a)) (+.f64 b a))
(*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b a) (*.f64 a a)) (-.f64 a b))))
(+.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))
(+.f64 (*.f64 a (-.f64 a b)) (*.f64 b b))
(+.f64 (neg.f64 (neg.f64 (*.f64 b b))) (neg.f64 (neg.f64 (*.f64 a (-.f64 a b)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) (/.f64 (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(-.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b a))
(fma.f64 b b (*.f64 a (-.f64 a b)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a (-.f64 a b)))
(fma.f64 a (-.f64 a b) (*.f64 b b))
(fma.f64 (-.f64 a b) a (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a (-.f64 a b)))
(neg.f64 (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))))) (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))))
(/.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))))) (fma.f64 (*.f64 a a) (*.f64 (-.f64 a b) (-.f64 a b)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 a (-.f64 a b)))))))
(/.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))
(/.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) (neg.f64 (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(/.f64 (-.f64 (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))))) (*.f64 (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(pow.f64 (/.f64 (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (-.f64 a b) (*.f64 b b))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b)))
(*.f64 (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 (*.f64 a (-.f64 a b)) (*.f64 a (-.f64 a b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (-.f64 a b)) (-.f64 (*.f64 a (-.f64 a b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 a (-.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (sin.f64 b) (*.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (sin.f64 (neg.f64 b)) (cos.f64 (+.f64 b a))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 (neg.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 (neg.f64 b)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 b) (sin.f64 a)) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))

eval244.0ms (2%)

Memory
-8.5MiB live, 433.1MiB allocated
Compiler

Compiled 33 133 to 2 595 computations (92.2% saved)

prune295.0ms (2.5%)

Memory
-4.7MiB live, 523.7MiB allocated
Pruning

89 alts after pruning (83 fresh and 6 done)

PrunedKeptTotal
New1 317361 353
Fresh134760
Picked235
Done033
Total1 332891 421
Accuracy
100.0%
Counts
1 421 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
67.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
67.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
45.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
70.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
50.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
98.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
98.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
45.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
46.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
68.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
44.1%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
44.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
44.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
44.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
44.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
77.6%
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
48.6%
(/.f64 r (/.f64 #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
77.6%
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.6%
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
77.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
77.0%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
77.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
48.6%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
77.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
48.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))) r))
46.5%
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
77.5%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
52.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
71.4%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
61.3%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
70.0%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
67.2%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
70.6%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
98.5%
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))
32.5%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
48.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1/2 binary64)))))
23.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))))))
29.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)))))))))
18.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a (-.f64 a b))))))))
17.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a a)))))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 a b)))))
28.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
30.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
72.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
40.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
72.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
23.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (log.f64 (-.f64 (neg.f64 b) a))))))
20.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))))
23.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))))
67.0%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))))))
45.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
68.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))))
48.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
37.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
39.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
45.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
44.1%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
43.8%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
44.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
77.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
98.5%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
77.6%
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
66.0%
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))
44.5%
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
43.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
65.7%
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
65.7%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
44.5%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
44.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
33.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
30.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
35.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 3 773 to 2 238 computations (40.7% saved)

simplify233.0ms (2%)

Memory
19.6MiB live, 174.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))
cost-diff0
(sin.f64 b)
cost-diff0
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
cost-diff0
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
cost-diff0
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
cost-diff0
(+.f64 b a)
cost-diff0
(cos.f64 (+.f64 b a))
cost-diff0
(/.f64 r (cos.f64 (+.f64 b a)))
cost-diff0
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
cost-diff0
(fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)
cost-diff0
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
cost-diff0
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))
cost-diff0
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Rules
1 832×lower-fma.f32
1 828×lower-fma.f64
1 480×lower-*.f32
1 460×lower-*.f64
648×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048306
076304
1121304
2172304
3237304
4303304
5430304
6701304
71118304
81800304
92108304
102797304
113471304
123667304
133691304
143708304
153716304
163885304
173961304
183973304
194000304
204004304
214016304
224039304
234039304
244045304
04045304
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))
b
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)
r
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 a)
a
(cos.f64 b)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
(fma.f64 (sin.f64 b) (sin.f64 (neg.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(sin.f64 a)
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))
b
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)
r
(*.f64 (*.f64 a a) #s(literal 1/2 binary64))
(*.f64 a a)
a
#s(literal 1/2 binary64)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 r (cos.f64 (+.f64 b a)))
r
(cos.f64 (+.f64 b a))
(+.f64 b a)
b
a
(sin.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(cos.f64 a)
a
(*.f64 b (sin.f64 a))
(sin.f64 a)
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
r
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))
(*.f64 (cos.f64 a) (cos.f64 b))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 a)
a
(cos.f64 b)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) a)

localize240.0ms (2%)

Memory
0.8MiB live, 476.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (sin.f64 b) a)
accuracy99.8%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
accuracy99.6%
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
accuracy60.8%
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
accuracy99.8%
(*.f64 b (sin.f64 a))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
accuracy45.7%
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
accuracy100.0%
(sin.f64 b)
accuracy99.7%
(/.f64 r (cos.f64 (+.f64 b a)))
accuracy99.7%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
accuracy77.8%
(cos.f64 (+.f64 b a))
accuracy99.9%
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))
accuracy94.8%
(fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)
accuracy61.0%
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
accuracy44.6%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
accuracy99.8%
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
accuracy99.8%
(*.f64 r (sin.f64 b))
accuracy99.7%
(*.f64 (sin.f64 b) (sin.f64 a))
accuracy99.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
Samples
142.0ms174×1valid
27.0ms82×0valid
Compiler

Compiled 241 to 42 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-mult: 34.0ms (24.9% of total)
ival-cos: 33.0ms (24.2% of total)
ival-sin: 25.0ms (18.3% of total)
ival-div: 14.0ms (10.3% of total)
adjust: 13.0ms (9.5% of total)
ival-add: 11.0ms (8.1% of total)
ival-sub: 4.0ms (2.9% of total)
ival-neg: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
2.0MiB live, 39.0MiB allocated
Counts
21 → 576
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))>
#<alt (*.f64 r (sin.f64 b))>
#<alt (sin.f64 b)>
#<alt (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))>
#<alt #s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))>
#<alt (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))>
#<alt #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))>
#<alt (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)>
#<alt (*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))>
#<alt (/.f64 r (cos.f64 (+.f64 b a)))>
#<alt (cos.f64 (+.f64 b a))>
#<alt (+.f64 b a)>
#<alt (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))>
#<alt #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))>
#<alt (*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))>
#<alt (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))>
#<alt (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))>
#<alt (*.f64 (sin.f64 b) (sin.f64 a))>
#<alt (*.f64 b (sin.f64 a))>
#<alt #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))>
#<alt (*.f64 (sin.f64 b) a)>
Outputs
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* b r)>
#<alt (* b (+ r (* -1/6 (* (pow b 2) r))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))>
#<alt (* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt (* r (sin b))>
#<alt b>
#<alt (* b (+ 1 (* -1/6 (pow b 2))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))>
#<alt (* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (sin b)>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
#<alt (/ (* r (sin b)) (cos (+ a b)))>
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#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* b r) (cos a))>
#<alt (* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (cos b))>
#<alt (+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ b (cos a))>
#<alt (* b (+ (/ 1 (cos a)) (/ (* b (sin a)) (pow (cos a) 2))))>
#<alt (* b (+ (* b (- (* b (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (cos b))>
#<alt (+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))>
#<alt (cos b)>
#<alt (+ (cos b) (* -1 (* a (sin b))))>
#<alt (+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))>
#<alt (+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (cos a)>
#<alt (+ (cos a) (* -1 (* b (sin a))))>
#<alt (+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))>
#<alt (+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (- (* (cos a) (cos b)) (* (sin a) (sin b)))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* a b)>
#<alt (* a (+ b (* -1/6 (* (pow a 2) b))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))>
#<alt (* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (sin a))>
#<alt (* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))>
#<alt (* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a (sin b))>
#<alt (* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))>
#<alt (* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* (sin a) (sin b))>
#<alt (* a b)>
#<alt (* b (+ a (* -1/6 (* a (pow b 2)))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))>
#<alt (* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
#<alt (* a (sin b))>
Calls

144 calls:

TimeVariablePointExpression
1.0ms
r
@0
(+ (* r (* (* a a) 1/2)) r)
1.0ms
r
@inf
(+ (* r (* (* a a) 1/2)) r)
1.0ms
a
@0
(/ r (cos (+ b a)))
0.0ms
b
@inf
(/ r (cos (+ b a)))
0.0ms
a
@inf
(/ r (cos (+ b a)))

simplify395.0ms (3.3%)

Memory
-2.9MiB live, 601.2MiB allocated
Algorithm
egg-herbie
Rules
8 742×lower-fma.f64
8 742×lower-fma.f32
8 216×lower-*.f64
8 216×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04927237
116417001
256016927
089436693
Stop Event
iter limit
node limit
Counts
576 → 567
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
(* r (sin b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(sin b)
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
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(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* a b)
(* a (+ b (* -1/6 (* (pow a 2) b))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* 1/120 (* (pow a 2) b))))))
(* a (+ b (* (pow a 2) (+ (* -1/6 b) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) b)) (* 1/120 b)))))))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin a))
(* b (sin 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))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a (sin b))
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* (sin a) (sin b))
(* a b)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
(* a (sin b))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* b r) (cos a))
(*.f64 r (/.f64 b (cos.f64 a)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 b (fma.f64 b (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 b (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 r (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 r (cos.f64 a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 b (fma.f64 b (fma.f64 r (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 b (fma.f64 (fma.f64 (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 (*.f64 r (sin.f64 a)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 b) (fma.f64 r (/.f64 #s(literal -1/6 binary64) (cos.f64 a)) (fma.f64 r (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (*.f64 (/.f64 r (cos.f64 a)) #s(literal 1/2 binary64))))))) (/.f64 r (cos.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (cos b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 a (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b))))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 a (fma.f64 r (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 a (fma.f64 (fma.f64 (sin.f64 b) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal -1/2 binary64)) (cos.f64 b)) (*.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) #s(literal -1/3 binary64))) (neg.f64 a) (fma.f64 r (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (*.f64 (sin.f64 b) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 b)))))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a))))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* b r)
(*.f64 r b)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 b (fma.f64 r (*.f64 b (*.f64 b #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (*.f64 r (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 r #s(literal -1/6 binary64))) r))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
(* r (sin b))
(*.f64 r (sin.f64 b))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) b) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(sin b)
(sin.f64 b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 b (fma.f64 b (fma.f64 (cos.f64 a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 b (sin.f64 a)))) (neg.f64 (sin.f64 a))) (cos.f64 a))
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(*.f64 b (fma.f64 b (*.f64 b (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (sin.f64 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))))))))
(*.f64 b (fma.f64 (fma.f64 b (*.f64 b #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (+ (sin b) (* -1/6 (* (pow a 2) (sin b)))))
(*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* 1/120 (* (pow a 2) (sin b)))))))
(*.f64 a (fma.f64 (*.f64 a a) (*.f64 (sin.f64 b) (fma.f64 #s(literal 1/120 binary64) (*.f64 a a) #s(literal -1/6 binary64))) (sin.f64 b)))
(* a (+ (sin b) (* (pow a 2) (+ (* -1/6 (sin b)) (* (pow a 2) (+ (* -1/5040 (* (pow a 2) (sin b))) (* 1/120 (sin b))))))))
(*.f64 a (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b) (*.f64 (*.f64 (sin.f64 b) (fma.f64 #s(literal -1/5040 binary64) (*.f64 a a) #s(literal 1/120 binary64))) (*.f64 (*.f64 a a) (*.f64 a a)))))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* (sin a) (sin b))
(*.f64 (sin.f64 b) (sin.f64 a))
(* a b)
(*.f64 b a)
(* b (+ a (* -1/6 (* a (pow b 2)))))
(*.f64 b (fma.f64 b (*.f64 b (*.f64 a #s(literal -1/6 binary64))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* 1/120 (* a (pow b 2)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 a #s(literal -1/6 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal 1/120 binary64)))) a))
(* b (+ a (* (pow b 2) (+ (* -1/6 a) (* (pow b 2) (+ (* -1/5040 (* a (pow b 2))) (* 1/120 a)))))))
(*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 1/120 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal -1/5040 binary64)))) (*.f64 a #s(literal -1/6 binary64))) a))
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)
(* a (sin b))
(*.f64 (sin.f64 b) a)

rewrite355.0ms (3%)

Memory
-16.6MiB live, 633.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 960×lower-/.f32
4 952×lower-/.f64
4 702×lower-fma.f32
4 698×lower-fma.f64
4 636×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048240
076210
1272210
21736210
09035210
Stop Event
iter limit
node limit
iter limit
Counts
21 → 613
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
(*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)))
#s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))
(fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r)
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 r (cos.f64 (+.f64 b a)))
(cos.f64 (+.f64 b a))
(+.f64 b a)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
#s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 b (sin.f64 a))
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) a)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 b a)))) (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (*.f64 r (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 b a)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (cos.f64 (+.f64 b a))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(/.f64 (sin.f64 (neg.f64 b)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 r (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 r) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b)))) (neg.f64 (neg.f64 (cos.f64 (+.f64 b a)))))
(/.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) r))
(/.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64)) (cos.f64 (+.f64 b a)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 r (sin.f64 b))))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 r (sin.f64 b)) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 b a))))
(/.f64 (neg.f64 (*.f64 r #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) r)) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b))) (neg.f64 (/.f64 (cos.f64 (+.f64 b a)) r)))
(pow.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 b a))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) r)
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (neg.f64 (*.f64 r (sin.f64 b))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 b a)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 r (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (cos.f64 (-.f64 b a)))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)))) (/.f64 r (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))))
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(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))) (/.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (/.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
(fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(fma.f64 (cos.f64 a) (cos.f64 b) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(fma.f64 (+.f64 (cos.f64 (+.f64 b a)) (cos.f64 (-.f64 b a))) #s(literal 1/2 binary64) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(fma.f64 #s(literal -1 binary64) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))) (*.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (*.f64 (cos.f64 b) (cos.f64 a))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) 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 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (*.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))))
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (neg.f64 (pow.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(-.f64 (/.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 b a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b)))) #s(literal 2 binary64)) (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (-.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 b) (cos.f64 a))) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (cos.f64 (-.f64 b a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cos.f64 (+.f64 b a)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a)))) #s(literal -1 binary64))
(*.f64 (sin.f64 b) (sin.f64 a))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64))
(*.f64 b (sin.f64 a))
(*.f64 (sin.f64 a) b)
#s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a))
(*.f64 (sin.f64 b) a)
(*.f64 a (sin.f64 b))

eval154.0ms (1.3%)

Memory
10.5MiB live, 313.0MiB allocated
Compiler

Compiled 30 220 to 2 097 computations (93.1% saved)

prune235.0ms (2%)

Memory
0.8MiB live, 419.1MiB allocated
Pruning

83 alts after pruning (76 fresh and 7 done)

PrunedKeptTotal
New1 241251 266
Fresh275178
Picked415
Done066
Total1 272831 355
Accuracy
100.0%
Counts
1 355 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.6%
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
67.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
67.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
45.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
70.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
50.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
51.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
71.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
61.2%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
70.0%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
98.6%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
98.5%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
45.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
66.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
68.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
77.6%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
44.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
47.2%
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
44.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
44.0%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
44.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
48.6%
(/.f64 r (/.f64 #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)) (sin.f64 b)))
77.1%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
98.5%
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
99.4%
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (sin.f64 b))
71.3%
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
44.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
44.1%
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
68.7%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
48.6%
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
77.5%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
77.7%
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
98.5%
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
77.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
71.3%
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
48.6%
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))) r))
66.9%
(*.f64 #s(approx (/ r (cos (+ b a))) (fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))) (sin.f64 b))
77.5%
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
99.5%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
67.2%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
70.6%
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
32.5%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
23.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))))))
29.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)))))))))
18.8%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a (-.f64 a b))))))))
17.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a a)))))))
50.4%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 a b)))))
30.6%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
72.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
77.7%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
40.2%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
72.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
23.1%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (log.f64 (-.f64 (neg.f64 b) a))))))
20.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))))
23.0%
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))))
45.3%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
68.7%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))))
48.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
37.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
39.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
45.2%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
35.6%
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
43.8%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
44.2%
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
77.7%
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
44.5%
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
43.0%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
44.5%
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
44.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
34.8%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
44.5%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
30.3%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
20.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
11.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
11.0%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
20.4%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
10.7%
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
35.2%
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Compiler

Compiled 4 929 to 1 660 computations (66.3% saved)

regimes253.0ms (2.1%)

Memory
-27.1MiB live, 373.1MiB allocated
Counts
152 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
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(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))))
(*.f64 (/.f64 r (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (sin.f64 (neg.f64 b))))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 #s(approx (/ r (cos (+ b a))) (fma.f64 (*.f64 r (sin.f64 b)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 r (cos.f64 b)))) (sin.f64 b))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (fma.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (sin.f64 b) (cos.f64 b)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 r (*.f64 a (pow.f64 (sin.f64 b) #s(literal 2 binary64)))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (fma.f64 (sin.f64 b) (/.f64 r (cos.f64 b)) (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (*.f64 r a)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))
#s(approx (/ (* r (sin b)) (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b)))) (fma.f64 (*.f64 a r) (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 r (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (sin.f64 b))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(*.f64 r (/.f64 (sin.f64 b) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (fma.f64 a (fma.f64 a (neg.f64 (fma.f64 r (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) r) (cos.f64 b)))) (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 b) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 a a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b))))) (*.f64 (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a))) (*.f64 (cos.f64 a) (cos.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 b) (sin.f64 a)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) b)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) a))))) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (neg.f64 (*.f64 (sin.f64 b) (sin.f64 a)))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (fma.f64 a (fma.f64 a (neg.f64 (fma.f64 a (fma.f64 (sin.f64 b) (/.f64 (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))) (cos.f64 b)) (*.f64 r (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) (*.f64 r (-.f64 (/.f64 (*.f64 (sin.f64 b) #s(literal -1/2 binary64)) (cos.f64 b)) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)))))) (/.f64 (*.f64 r (pow.f64 (sin.f64 b) #s(literal 2 binary64))) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
Calls

5 calls:

64.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
51.0ms
b
46.0ms
r
42.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
41.0ms
a
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
99.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes234.0ms (2%)

Memory
27.3MiB live, 336.4MiB allocated
Counts
127 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (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 a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 b a)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))) r))
(/.f64 r (/.f64 #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a)) (sin.f64 b)))
(*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (sin.f64 b)))
(*.f64 (sin.f64 b) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) r) (sin.f64 b))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (*.f64 r (sin.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 r (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 b a)) r))
(*.f64 (sin.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 b a))) r))
(*.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (sin.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (neg.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) #s(approx (neg (- a b)) (-.f64 b a))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 a b)))))
(*.f64 r (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) r)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (neg.f64 (-.f64 a b))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (-.f64 a b) (*.f64 (+.f64 b a) (/.f64 #s(literal -1 binary64) (-.f64 a b)))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 #s(approx (+ (* a (* a a)) (* b (* b b))) (*.f64 a (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a a)))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 a (-.f64 a b))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 (fma.f64 b b (*.f64 a (-.f64 a b))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (*.f64 (/.f64 (-.f64 a b) (*.f64 (+.f64 b a) (-.f64 a b))) (/.f64 (neg.f64 (+.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 #s(approx (/ (* (+ b a) (- a b)) (neg (- a b))) (*.f64 a (-.f64 (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 b a)))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (neg.f64 #s(approx (+ (* b b) (* a (- a b))) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 a a) b)) b)))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 b a))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 a) r)) #s(literal -1 binary64)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 a) (*.f64 b (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (-.f64 (cos.f64 b) (*.f64 (sin.f64 b) a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 #s(approx (* b (* (cos a) -1/2)) (*.f64 b #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 b a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 r (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 b (sin.f64 (neg.f64 a)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (fma.f64 (sin.f64 b) (neg.f64 a) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a)) (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1/2 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (log.f64 (-.f64 (neg.f64 b) a))))))
(*.f64 r (pow.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (pow.f64 (-.f64 (neg.f64 b) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 b a)) (*.f64 r (sin.f64 b)))) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a))))))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 #s(approx (* (log (/ -1 (+ b a))) -1) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b))))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) #s(literal 1 binary64)) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 b (sin.f64 a))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(*.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))))
(*.f64 r (*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (-.f64 (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64))) (sin.f64 a)) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 b a))) #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 r (sin.f64 b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (cos.f64 (-.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (fma.f64 a (-.f64 (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) (sin.f64 b)) (cos.f64 b))))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (fma.f64 b (/.f64 (*.f64 b (sin.f64 a)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 b (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) #s(approx (* (cos a) (cos b)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 b b) #s(literal 1 binary64)) (cos.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 #s(approx (* (sin b) (sin a)) (*.f64 a (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 a a) #s(literal 1 binary64)) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (neg.f64 (*.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 a (fma.f64 (sin.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 #s(literal -1/2 binary64) (cos.f64 b)))) (cos.f64 b)))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (fma.f64 b (fma.f64 (sin.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 (cos.f64 a) #s(literal -1/2 binary64)))) (cos.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 (/.f64 r (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin b) (sin a)) (*.f64 (sin.f64 b) a)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 b))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 b a)))) (/.f64 r (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 a b)))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (sin.f64 a)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) r))) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 (neg.f64 b)) (sin.f64 a) (*.f64 #s(approx (cos a) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (fma.f64 a (*.f64 a #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (cos.f64 b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (neg.f64 b) a)))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Calls

5 calls:

66.0ms
a
53.0ms
r
38.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
36.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.0ms
b
Results
AccuracySegmentsBranch
77.7%1r
77.7%1a
77.7%1b
77.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
77.7%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes266.0ms (2.2%)

Memory
-17.5MiB live, 105.2MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (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 a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 a))) (sin.f64 b))
(*.f64 (/.f64 r #s(approx (cos (+ b a)) (cos.f64 b))) (sin.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ b a)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin (neg b)) (sin a)) (* (cos a) (cos b))) (cos.f64 b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))
Calls

5 calls:

112.0ms
b
93.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
12.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
12.0ms
r
12.0ms
a
Results
AccuracySegmentsBranch
78.0%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
68.7%1r
68.7%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
77.6%3a
78.0%3b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes21.0ms (0.2%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
32 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))
Calls

2 calls:

10.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
10.0ms
b
Results
AccuracySegmentsBranch
78.0%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
78.0%3b
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes118.0ms (1%)

Memory
-12.2MiB live, 66.7MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

5 calls:

60.0ms
r
29.0ms
b
9.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
9.0ms
a
9.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
Results
AccuracySegmentsBranch
44.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
44.5%1r
44.5%1a
48.5%3(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
48.9%3b
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes10.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
48.9%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.3%)

Memory
-37.1MiB live, 15.7MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

30.0ms
b
Results
AccuracySegmentsBranch
48.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
48.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))))))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

8.0ms
b
Results
AccuracySegmentsBranch
48.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes31.0ms (0.3%)

Memory
-25.2MiB live, 14.5MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r (cos.f64 (+.f64 b a))) #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

29.0ms
b
Results
AccuracySegmentsBranch
48.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 r b)) (cos.f64 (+.f64 b a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 r (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 a)) b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 b (/.f64 (cos.f64 a) r)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 r (*.f64 r r)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 r (*.f64 r r))) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (*.f64 r (-.f64 r (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))))))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) #s(approx (+ (* b (- (* b (* (cos a) -1/2)) (sin a))) (cos a)) (fma.f64 b (*.f64 b #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) b)) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) (cos.f64 a))))
Outputs
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
48.7%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.4%)

Memory
-19.3MiB live, 19.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
(*.f64 r #s(approx (/ (sin b) (cos (+ a b))) (/.f64 b (cos.f64 a))))
(*.f64 r #s(approx (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (/.f64 b (cos.f64 a))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
Calls

3 calls:

40.0ms
a
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
b
Results
AccuracySegmentsBranch
44.5%1a
44.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
44.5%1b
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
Calls

5 calls:

4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
r
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
44.5%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
44.5%1r
44.5%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
44.5%1b
44.5%1a
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes32.0ms (0.3%)

Memory
-24.5MiB live, 13.5MiB allocated
Accuracy

Total -16.6b remaining (-40%)

Threshold costs -16.6b (-40%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) #s(approx (+ (* r (* (* a a) 1/2)) r) (*.f64 r (*.f64 #s(literal 1/2 binary64) (*.f64 a a)))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (fma.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) r))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r #s(approx (cos a) (fma.f64 a (*.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))) (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r)))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b #s(approx (/ r (cos a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 r (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) r) (fma.f64 (*.f64 (*.f64 r (*.f64 a a)) (*.f64 r (*.f64 a a))) #s(literal 1/4 binary64) (neg.f64 (*.f64 r r))))))))
Outputs
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Calls

5 calls:

19.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
3.0ms
r
3.0ms
b
3.0ms
a
Results
AccuracySegmentsBranch
35.2%1(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
35.2%1r
35.2%1(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
35.2%1a
35.2%1b
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch37.0ms (0.3%)

Memory
26.1MiB live, 26.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.00392968555714919
0.1159568465489234
20.0ms
-299.46712594027395
-1.4021202148751318e-7
Samples
13.0ms94×1valid
11.0ms162×0valid
Compiler

Compiled 607 to 382 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 6.0ms (35.7% of total)
ival-sin: 3.0ms (17.8% of total)
ival-add: 2.0ms (11.9% of total)
ival-div: 2.0ms (11.9% of total)
adjust: 2.0ms (11.9% of total)
ival-mult: 2.0ms (11.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.00392968555714919
0.1159568465489234
1.0ms
-299.46712594027395
-1.4021202148751318e-7
Compiler

Compiled 607 to 382 computations (37.1% saved)

bsearch57.0ms (0.5%)

Memory
-13.8MiB live, 27.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
16671099372.732796
1127660687890073300.0
30.0ms
-1615278839.7762797
-457865745.01641256
Samples
31.0ms138×0valid
14.0ms86×1valid
Compiler

Compiled 603 to 350 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-sin: 24.0ms (62% of total)
ival-cos: 8.0ms (20.7% of total)
ival-add: 2.0ms (5.2% of total)
ival-div: 2.0ms (5.2% of total)
ival-mult: 2.0ms (5.2% of total)
adjust: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
16671099372.732796
1127660687890073300.0
1.0ms
-1615278839.7762797
-457865745.01641256
Compiler

Compiled 603 to 364 computations (39.6% saved)

bsearch84.0ms (0.7%)

Memory
16.9MiB live, 55.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
1127660687890073300.0
3.587213553732156e+21
53.0ms
-457865745.01641256
-2295.047457125181
Samples
39.0ms96×0valid
30.0ms176×1valid
Compiler

Compiled 644 to 405 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sin: 38.0ms (62.9% of total)
ival-cos: 11.0ms (18.2% of total)
ival-add: 3.0ms (5% of total)
adjust: 3.0ms (5% of total)
ival-mult: 3.0ms (5% of total)
ival-div: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
-31.4MiB live, 6.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1127660687890073300.0
3.587213553732156e+21
25.0ms
-457865745.01641256
-2295.047457125181
Compiler

Compiled 644 to 388 computations (39.8% saved)

bsearch13.0ms (0.1%)

Memory
23.5MiB live, 23.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
16671099372.732796
1127660687890073300.0
11.0ms
-1615278839.7762797
-457865745.01641256
Samples
5.0ms40×0valid
4.0ms24×1valid
Compiler

Compiled 463 to 294 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sin: 2.0ms (30.7% of total)
ival-cos: 2.0ms (30.7% of total)
ival-div: 1.0ms (15.4% of total)
ival-mult: 1.0ms (15.4% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
16671099372.732796
1127660687890073300.0
1.0ms
-1615278839.7762797
-457865745.01641256
Compiler

Compiled 463 to 294 computations (36.5% saved)

bsearch25.0ms (0.2%)

Memory
-5.5MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
1127660687890073300.0
3.587213553732156e+21
0.0ms
-1615278839.7762797
-457865745.01641256
Samples
19.0ms90×1valid
1.0ms0valid
Compiler

Compiled 314 to 209 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 8.0ms (50.1% of total)
ival-sin: 3.0ms (18.8% of total)
ival-add: 1.0ms (6.3% of total)
ival-div: 1.0ms (6.3% of total)
adjust: 1.0ms (6.3% of total)
ival-mult: 1.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Memory
-23.1MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Rules
50×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128709
1161709
2172709
3178709
4182709
5183709
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -1261007895663739/36028797018963968 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 1261007895663739/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -1261007895663739/36028797018963968 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 1261007895663739/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -480000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -480000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -11000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1200000000000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -11000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1200000000000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 10500000000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))
Outputs
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 b) (sin.f64 a)))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 b a))))
(if (<=.f64 b #s(literal -1261007895663739/36028797018963968 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b)))) (if (<=.f64 b #s(literal 1261007895663739/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (cos (+ a b)) (cos.f64 b))))))
(if (<=.f64 b #s(literal -1261007895663739/36028797018963968 binary64)) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b))) (if (<=.f64 b #s(literal 1261007895663739/72057594037927936 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) #s(approx (* r (/ (sin b) (cos (+ a b)))) (/.f64 (*.f64 r (sin.f64 b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -480000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -480000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -480000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -11000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1200000000000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 (*.f64 b b) (*.f64 r (fma.f64 b (*.f64 b #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -11000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1200000000000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -11000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 1200000000000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 b (*.f64 b b)) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 #s(literal -1/6 binary64) (*.f64 b b)) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b (fma.f64 r (*.f64 (*.f64 b b) #s(literal -1/6 binary64)) r))) (cos.f64 (+.f64 b a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 a b)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 55000000000 binary64)) (*.f64 r (/.f64 #s(approx (sin b) (fma.f64 b (*.f64 b (*.f64 b #s(literal -1/6 binary64))) b)) (cos.f64 (+.f64 b a)))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
(if (<=.f64 b #s(literal -880000000 binary64)) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64))))) (if (<=.f64 b #s(literal 10500000000000000000 binary64)) #s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a))) (*.f64 r (/.f64 (sin.f64 b) #s(approx (- (* (cos a) (cos b)) (* (sin b) (sin a))) #s(approx (cos a) #s(literal 1 binary64)))))))
#s(approx (/ (* r (sin b)) (cos (+ b a))) (/.f64 (*.f64 r b) (cos.f64 a)))
#s(approx (* r (/ (sin b) (cos (+ a b)))) (*.f64 b (/.f64 r (cos.f64 a))))
#s(approx (* r (/ (sin b) (cos (+ a b)))) #s(approx (* b (/ r (cos a))) (*.f64 r b)))

soundness1.1s (9.3%)

Memory
28.2MiB live, 947.7MiB allocated
Rules
10 518×lower-fma.f64
10 518×lower-fma.f32
10 178×lower-fma.f64
10 178×lower-fma.f32
9 408×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02151226
16601174
220691116
377051116
082851075
09039397
128268515
088458243
06908235
121817680
276877580
090087353
0822
01322
14422
223422
3198522
01021222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 205 to 536 computations (55.5% saved)

preprocess120.0ms (1%)

Memory
-6.5MiB live, 274.0MiB allocated
Remove

(negabs r)

Compiler

Compiled 976 to 254 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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