rsin A (should all be same)

Time bar (total: 11.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze350.0ms (3.2%)

Memory
6.7MiB live, 359.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
12.5%12.5%87.4%0.1%0%0%0%8
18.8%18.7%81.1%0.1%0%0%0%9
21.9%21.8%78%0.1%0%0%0%10
21.9%21.8%78%0.1%0%0%0%11
23.4%23.4%76.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.8s (25.2%)

Memory
2.9MiB live, 1 557.8MiB allocated
Samples
1.4s5 928×1valid
1.0s2 328×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-sin: 507.0ms (42.2% of total)
ival-cos: 270.0ms (22.5% of total)
ival-mult: 127.0ms (10.6% of total)
adjust: 103.0ms (8.6% of total)
ival-add: 94.0ms (7.8% of total)
ival-div: 88.0ms (7.3% of total)
ival-true: 8.0ms (0.7% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain189.0ms (1.7%)

Memory
6.1MiB live, 201.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
77119(-1.7694802164653805e-200 -9.806884087146062e+31 -1.4845455386798748e-155)0-(cos.f64 (+.f64 a b))
00-0-(+.f64 a b)
00-0-(sin.f64 b)
00-0-a
00-0-(*.f64 r (sin.f64 b))
00-0-r
00-0-b
00-0-(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (+.f64 a b))sensitivity1960
Confusion
Predicted +Predicted -
+770
-11960
Precision
0.39285714285714285
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7700
-119060
Precision?
0.39285714285714285
Recall?
1.0
Freqs
test
numberfreq
060
1196
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms372×1valid
11.0ms140×0valid
Compiler

Compiled 88 to 36 computations (59.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-cos: 20.0ms (37.7% of total)
ival-sin: 12.0ms (22.6% of total)
adjust: 7.0ms (13.2% of total)
ival-add: 5.0ms (9.4% of total)
ival-div: 4.0ms (7.5% of total)
ival-mult: 4.0ms (7.5% of total)
ival-true: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)

preprocess114.0ms (1%)

Memory
-2.3MiB live, 44.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03788
18984
219384
347984
4141184
5237084
6299684
7337684
8356984
9379084
10409484
11410084
12410084
13410884
14412884
15413684
16413684
089
0139
1179
2209
3219
0219
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
Symmetry

(negabs r)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize52.0ms (0.5%)

Memory
11.2MiB live, 82.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 b)
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
accuracy16.558290556340086
(cos.f64 (+.f64 a b))
Samples
36.0ms186×1valid
5.0ms70×0valid
Compiler

Compiled 52 to 18 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-cos: 8.0ms (32% of total)
ival-sin: 6.0ms (24% of total)
ival-add: 3.0ms (12% of total)
adjust: 3.0ms (12% of total)
ival-div: 2.0ms (8% of total)
ival-mult: 2.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-11.1MiB live, 26.2MiB allocated
Counts
4 → 32
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(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))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Calls

9 calls:

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

simplify289.0ms (2.6%)

Memory
16.1MiB live, 179.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167593
1517561
21610519
35575500
08699472
Stop Event
iter limit
node limit
Counts
32 → 31
Calls
Call 1
Inputs
(/ (* r (sin b)) (cos (+ a b)))
(* r (sin b))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(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))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(cos (- b (* -1 a)))
(/ (* b r) (cos a))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(sin b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(cos (- a (* -1 b)))
Outputs
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos b))
(*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r) a (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (neg.f64 a) #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (fma.f64 r (-.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 b)) (cos.f64 b))) (*.f64 (neg.f64 a) (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 r (fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal -1/2 binary64) (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64)))))) a) a (*.f64 (/.f64 r (cos.f64 b)) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) a) (cos.f64 b)) (sin.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))
(cos (+ a b))
(cos.f64 (+.f64 a b))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- b (* -1 a)))
(cos.f64 (+.f64 a b))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(*.f64 (/.f64 b (cos.f64 a)) (fma.f64 (*.f64 (sin.f64 a) b) (/.f64 r (cos.f64 a)) r))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (*.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a))) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(*.f64 (fma.f64 (fma.f64 (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (sin.f64 a) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b (*.f64 (/.f64 r (cos.f64 a)) (+.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b r)
(*.f64 b r)
(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 r (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 r (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b r))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) b)
(cos a)
(cos.f64 a)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64))) b (cos.f64 a))
(sin b)
(sin.f64 b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))

rewrite203.0ms (1.8%)

Memory
0.7MiB live, 166.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
01319
14419
223419
3206219
0850719
Stop Event
iter limit
node limit
iter limit
Counts
4 → 138
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(cos.f64 (+.f64 a b))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (neg.f64 (sin.f64 b)) (*.f64 r (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 (pow.f64 r #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal -1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) #s(literal 1 binary64)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 #s(literal 1 binary64) r) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 r #s(literal 1 binary64)) (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (neg.f64 r) (sin.f64 b))))
(/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
(neg.f64 (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b)))) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 r)) (sin.f64 b))
(*.f64 (neg.f64 (neg.f64 (sin.f64 b))) r)
(*.f64 (neg.f64 r) (neg.f64 (sin.f64 b)))
(*.f64 (neg.f64 (sin.f64 b)) (neg.f64 r))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 r) (sin.f64 b)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))
(*.f64 (sin.f64 b) (*.f64 r #s(literal 1 binary64)))
(*.f64 (sin.f64 b) (neg.f64 (neg.f64 r)))
(*.f64 (sin.f64 b) r)
(*.f64 r (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 r (neg.f64 (neg.f64 (sin.f64 b))))
(*.f64 r (sin.f64 b))
(neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 r) (sin.f64 b)))
(sin.f64 b)
(*.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 b a)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 a b)))
(*.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 b a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 b a))))
(/.f64 (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))
(/.f64 (cos.f64 (+.f64 a b)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))
(fma.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(fma.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b)))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (+.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(-.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 b a))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 b a)) (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (+.f64 a b))))
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 a b))) (-.f64 a b)))
(cos.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(cos.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 a b)) (neg.f64 (-.f64 a b))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos.f64 (+.f64 a b))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (cos.f64 (/.f64 (*.f64 a a) (-.f64 b a)))) (*.f64 (sin.f64 (/.f64 (*.f64 b b) (-.f64 b a))) (sin.f64 (/.f64 (*.f64 a a) (-.f64 b a)))))
(+.f64 (*.f64 (cos.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (cos.f64 (*.f64 b (/.f64 b (-.f64 a b))))) (*.f64 (sin.f64 (*.f64 a (/.f64 a (-.f64 a b)))) (sin.f64 (*.f64 b (/.f64 b (-.f64 a b))))))
(+.f64 (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(+.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))

eval36.0ms (0.3%)

Memory
-3.4MiB live, 41.4MiB allocated
Compiler

Compiled 3 275 to 553 computations (83.1% saved)

prune28.0ms (0.3%)

Memory
-26.0MiB live, 51.1MiB allocated
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New13332165
Fresh000
Picked101
Done000
Total13432166
Accuracy
99.8%
Counts
166 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.6%
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
73.9%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
30.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
49.2%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
47.4%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
47.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
48.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
74.0%
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
73.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
73.9%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
73.9%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
73.9%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
73.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
74.0%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
74.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
74.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
73.9%
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
73.9%
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
73.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
36.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
55.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r) a (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (neg.f64 a) #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) a)))
58.7%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Compiler

Compiled 1 128 to 822 computations (27.1% saved)

simplify214.0ms (1.9%)

Memory
4.4MiB live, 83.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
cost-diff128
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
cost-diff0
(neg.f64 r)
cost-diff0
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
cost-diff128
(/.f64 #s(literal -1 binary64) (neg.f64 r))
cost-diff7168
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
cost-diff0
(+.f64 a b)
cost-diff0
(cos.f64 (+.f64 a b))
cost-diff0
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
cost-diff384
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
cost-diff0
(cos.f64 a)
cost-diff0
(/.f64 r (cos.f64 a))
cost-diff0
(*.f64 (/.f64 r (cos.f64 a)) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041259
073249
1119246
2198246
3372246
41026246
52514246
64541246
75463246
86002246
96539246
107169246
117195246
127391246
137833246
147849246
157849246
167849246
08145246
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
r
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 r))
#s(literal -1 binary64)
(neg.f64 r)
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 a #s(literal 3 binary64))
a
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
(*.f64 a a)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
r
(cos.f64 a)
a
b
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
r
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
b
(sin.f64 b)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
r
(/.f64 #s(literal -1 binary64) (neg.f64 r))
(/.f64 #s(literal 1 binary64) r)
#s(literal -1 binary64)
(neg.f64 r)
r
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(sin.f64 b)
b
(cos.f64 (+.f64 a b))
(+.f64 a b)
a
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 b #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 a #s(literal 3 binary64))
a
(neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
(*.f64 a a)

localize292.0ms (2.6%)

Memory
25.5MiB live, 283.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
accuracy3.992170986641647
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
accuracy16.558290556340086
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
accuracy41.92984652848177
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
accuracy0.19140625
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
accuracy0.2109375
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
accuracy0.25390625
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
accuracy16.558290556340086
(cos.f64 (+.f64 a b))
accuracy0.0
(sin.f64 b)
accuracy0.1875
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
accuracy0.22103500976844204
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
accuracy16.558290556340086
(cos.f64 (+.f64 a b))
accuracy0.0
(cos.f64 a)
accuracy0.0859375
(*.f64 (/.f64 r (cos.f64 a)) b)
accuracy0.15234375
(/.f64 r (cos.f64 a))
accuracy33.222097248571906
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
accuracy0.09603500976844202
(*.f64 (cos.f64 b) (cos.f64 a))
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.13576127930532605
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Samples
232.0ms194×1valid
19.0ms62×0valid
Compiler

Compiled 520 to 81 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-cos: 91.0ms (48% of total)
ival-div: 22.0ms (11.6% of total)
ival-pow: 17.0ms (9% of total)
ival-mult: 15.0ms (7.9% of total)
ival-sin: 15.0ms (7.9% of total)
adjust: 14.0ms (7.4% of total)
ival-add: 8.0ms (4.2% of total)
ival-neg: 4.0ms (2.1% of total)
ival-sub: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory
-1.7MiB live, 170.6MiB allocated
Counts
22 → 133
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 r))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(neg.f64 r)
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
r
(/ 1 r)
(* -1 r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -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))))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(* -1 b)
(+ (* -1 a) (* -1 b))
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* (cos a) (cos b))
(/ (sin b) (cos (+ a b)))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -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)))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(/ 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)
(* b (+ 1 (/ a b)))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))))
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -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)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
Calls

9 calls:

TimeVariablePointExpression
18.0ms
r
@inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (neg r) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (cos b) (cos a)) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
13.0ms
b
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (neg r) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (cos b) (cos a)) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
11.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (neg r) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (cos b) (cos a)) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
9.0ms
r
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (neg r) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (cos b) (cos a)) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))
8.0ms
a
@0
((/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (* r (sin b)) (sin b) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (cos a) (/ r (/ (cos (+ a b)) (sin b))) (/ (cos (+ a b)) (sin b)) (cos (+ a b)) (+ a b) (pow (/ -1 (neg r)) -1) (/ -1 (neg r)) (* (pow (/ -1 (neg r)) -1) (/ (sin b) (cos (+ a b)))) (neg r) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (* (cos b) (cos a)) (/ (sin b) (cos (+ a b))) (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (+ (pow b 3) (pow a 3)))

simplify137.0ms (1.2%)

Memory
11.6MiB live, 214.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06272375
119682197
268432127
087492007
Stop Event
iter limit
node limit
Counts
133 → 130
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
r
(/ 1 r)
(* -1 r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(/ (cos b) (sin b))
(+ (* -1 a) (/ (cos b) (sin b)))
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
b
(+ a b)
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -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))))
(+ (cos b) (* -1/2 (* (pow a 2) (cos b))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* 1/24 (* (pow a 2) (cos b))))))
(+ (cos b) (* (pow a 2) (+ (* -1/2 (cos b)) (* (pow a 2) (+ (* -1/720 (* (pow a 2) (cos b))) (* 1/24 (cos b)))))))
(/ (sin b) (cos b))
(+ (/ (sin b) (cos b)) (/ (* a (pow (sin b) 2)) (pow (cos b) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (pow (sin b) 2) (pow (cos b) 2))) (+ (* 1/6 (/ (pow (sin b) 2) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b))))) (cos b)))))) (+ (* -1 (/ (pow (sin b) 3) (pow (cos b) 3))) (* -1/2 (/ (sin b) (cos b)))))) (* -1 (/ (pow (sin b) 2) (pow (cos b) 2))))) (/ (sin b) (cos b)))
(* -1 b)
(+ (* -1 a) (* -1 b))
(pow b 3)
(+ (pow a 3) (pow b 3))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(cos a)
(/ (cos (+ a b)) (sin b))
(cos (+ a b))
a
(* a (+ 1 (/ b a)))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* (cos a) (cos b))
(/ (sin b) (cos (+ a b)))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (cos (- b (* -1 a))) (sin b))
(cos (- b (* -1 a)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(/ (sin b) (cos (- b (* -1 a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -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)))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (cos a) b)
(/ (+ (cos a) (* -1 (* b (sin a)))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (* -1/2 (cos a)) (* -1/6 (cos a))))))) b)
(/ (+ (cos a) (* b (+ (* -1 (sin a)) (* b (- (+ (* -1/2 (cos a)) (* (pow b 2) (- (* 1/24 (cos a)) (+ (* -1/6 (- (* -1/2 (cos a)) (* -1/6 (cos a)))) (* 1/120 (cos a)))))) (* -1/6 (cos a))))))) b)
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(+ (cos a) (* -1/2 (* (pow b 2) (cos a))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* 1/24 (* (pow b 2) (cos a))))))
(+ (cos a) (* (pow b 2) (+ (* -1/2 (cos a)) (* (pow b 2) (+ (* -1/720 (* (pow b 2) (cos a))) (* 1/24 (cos a)))))))
(/ 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)
(* b (+ 1 (/ a b)))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(* b (- (* -1 (/ a b)) 1))
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))))
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/ (cos (- a (* -1 b))) (sin b))
(cos (- a (* -1 b)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/ (sin b) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -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)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
r
(/ 1 r)
(/.f64 #s(literal 1 binary64) r)
(* -1 r)
(neg.f64 r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) r) (/.f64 (sin.f64 b) (cos.f64 b)) (*.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64))) r)) (cos.f64 b)) (sin.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))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a a) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 a a))) (*.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r))
(+ r (* 1/2 (* (pow a 2) r)))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow a 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))
(/ (cos b) (sin b))
(/.f64 (cos.f64 b) (sin.f64 b))
(+ (* -1 a) (/ (cos b) (sin b)))
(-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)
(+ (* a (- (* -1/2 (/ (* a (cos b)) (sin b))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (* a (- (* a (+ (* -1/2 (/ (cos b) (sin b))) (* 1/6 a))) 1)) (/ (cos b) (sin b)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (cos.f64 b) (sin.f64 b)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) a)) a #s(literal -1 binary64)) a (/.f64 (cos.f64 b) (sin.f64 b)))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
b
(+ a b)
(+.f64 a b)
(cos (* -1 b))
(cos.f64 b)
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (neg.f64 (sin.f64 b)) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a (neg.f64 (sin.f64 b))) a (cos.f64 b))
(/ (* r (sin b)) (cos (* -1 b)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (* -1 (/ (* a (* r (* (sin b) (sin (* -1 b))))) (pow (cos (* -1 b)) 2))) (/ (* r (sin b)) (cos (* -1 b))))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (* (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))))
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(fma.f64 (*.f64 (fma.f64 (-.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 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) b) b (/.f64 b (cos.f64 a)))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* 1/2 (/ 1 (cos a))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (cos a))) (+ (* -1/2 (/ (sin a) (pow (cos a) 2))) (* 1/6 (/ (sin a) (pow (cos a) 2))))))) (* 1/2 (/ 1 (cos a)))) (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 3))) (* 1/6 (/ 1 (cos a)))))) (* -1 (/ (sin a) (pow (cos a) 2))))) (/ 1 (cos a))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (/.f64 (-.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 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (cos.f64 a)))) (neg.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 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 b (cos.f64 a)))
(sin b)
(sin.f64 b)
(* b (+ 1 (/ a b)))
(fma.f64 (/.f64 a b) b b)
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b))))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b)))))
(* b (- (* -1 (/ a b)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* b (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* b (- (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (cos (- a (* -1 b))) (sin b))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos (- a (* -1 b)))
(cos.f64 (+.f64 a b))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(fma.f64 (/.f64 a b) b b)
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (sin b) (cos (- a (* -1 b))))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(* -1 (* b (+ 1 (/ a b))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* -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)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))

rewrite296.0ms (2.7%)

Memory
6.7MiB live, 200.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041187
073189
1254121
21601121
08255121
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 142
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/.f64 r (cos.f64 a))
(cos.f64 a)
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b))
(cos.f64 (+.f64 a b))
(+.f64 a b)
(pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 r))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(neg.f64 r)
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 (cos.f64 b) (cos.f64 a))
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) r)) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 r) (sin.f64 b)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (pow.f64 r #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)) (*.f64 (sin.f64 b) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (neg.f64 r))
(*.f64 (/.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) r)) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)) (/.f64 (sin.f64 b) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (/.f64 r (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b)) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (cos.f64 (+.f64 a b))) (/.f64 (pow.f64 r #s(literal 1/2 binary64)) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 r (neg.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (/.f64 (neg.f64 r) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 b) #s(literal -1 binary64))))
(*.f64 (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))) (neg.f64 (sin.f64 b)))
(*.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) (pow.f64 r #s(literal 1/2 binary64))) (pow.f64 r #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 r (pow.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) r)))
(*.f64 (*.f64 (sin.f64 b) #s(literal 1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sin.f64 b)) #s(literal 1 binary64)) (/.f64 r (neg.f64 (cos.f64 (+.f64 a b)))))
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(+.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b))
(+.f64 (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) b) (*.f64 (fma.f64 a (-.f64 a b) (*.f64 b b)) a))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))

eval167.0ms (1.5%)

Memory
-12.3MiB live, 188.2MiB allocated
Compiler

Compiled 25 040 to 3 232 computations (87.1% saved)

prune89.0ms (0.8%)

Memory
-20.2MiB live, 176.2MiB allocated
Pruning

73 alts after pruning (71 fresh and 2 done)

PrunedKeptTotal
New84161902
Fresh171027
Picked325
Done000
Total86173934
Accuracy
99.9%
Counts
934 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
99.1%
(/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
99.3%
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
32.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
34.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
29.3%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
46.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
60.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
73.9%
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
99.3%
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
74.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
73.9%
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
47.6%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
48.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
70.9%
(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))))
87.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
29.3%
(/.f64 r (/.f64 (cos.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))) (sin.f64 b)))
40.7%
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
73.9%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
74.0%
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
51.3%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
58.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
48.0%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
56.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
73.4%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
73.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
73.7%
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
48.6%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
69.1%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
73.7%
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
75.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
74.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
74.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
73.9%
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
73.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
69.3%
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
58.7%
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
47.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
47.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
25.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
26.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 3 150 to 2 162 computations (31.4% saved)

simplify252.0ms (2.3%)

Memory
1.5MiB live, 121.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
cost-diff128
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
cost-diff0
(*.f64 b r)
cost-diff0
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
cost-diff0
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.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) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046306
073302
1125299
2204299
3312297
4438297
5693297
61207297
71981297
83215297
93959297
104356297
114865297
124994297
135023297
145047297
155435297
165595297
175595297
185595297
195627297
205639297
215658297
225658297
05658297
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.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) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(neg.f64 (sin.f64 b))
a
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
#s(literal -1 binary64)
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
a
(*.f64 a a)
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 3 binary64))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(*.f64 (sin.f64 a) (neg.f64 (sin.f64 b)))
(neg.f64 (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
b
r
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(neg.f64 (sin.f64 b))
a
(cos.f64 b)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 a b) b (*.f64 (neg.f64 a) a)))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
#s(literal -1 binary64)
(fma.f64 (-.f64 b a) b (*.f64 a a))
(-.f64 b a)
a
(*.f64 a a)
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 b #s(literal 3 binary64))

localize318.0ms (2.9%)

Memory
14.5MiB live, 275.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy1.107300403999674
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
accuracy3.992170986641647
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
accuracy16.558290556340086
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
accuracy41.88822796662599
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
accuracy0.07421875
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
accuracy31.868986592240535
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
accuracy0.0
(cos.f64 b)
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
accuracy30.215587681307476
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
accuracy0.0
(*.f64 b r)
accuracy23.778844112905638
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
accuracy33.222097248571906
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.1391611414911987
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
accuracy0.21484375
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Samples
263.0ms194×1valid
18.0ms62×0valid
Compiler

Compiled 585 to 86 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-div: 45.0ms (26.8% of total)
ival-cos: 33.0ms (19.6% of total)
ival-sin: 25.0ms (14.9% of total)
ival-mult: 22.0ms (13.1% of total)
adjust: 15.0ms (8.9% of total)
ival-add: 12.0ms (7.1% of total)
ival-pow: 11.0ms (6.5% of total)
ival-neg: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (0.6%)

Memory
4.9MiB live, 78.4MiB allocated
Counts
19 → 116
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(cos.f64 b)
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -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))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(pow b 3)
(+ (pow a 3) (pow b 3))
(/ -1 (pow b 2))
(- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))
(- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* -1 (* (sin a) (sin b)))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(/ -1 (pow a 2))
(/ (- (* -1 (/ b a)) 1) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (pow b 3)) (* 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)))))) (pow a 2))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -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)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1) (pow a 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (/ (pow b 3) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1) (pow a 2))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(sin b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))
(* 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))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(/ (- (* -1 (/ a b)) 1) (pow b 2))
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2))
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -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)))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2))
Calls

9 calls:

TimeVariablePointExpression
32.0ms
r
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3)))) (/ (* r (sin b)) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))))) (* (neg (sin b)) (sin a)) (cos b) (+ (* (neg (sin b)) a) (cos b)) (+ (pow a 3) (pow b 3)) (/ -1 (+ (* (- b a) b) (* a a))))
8.0ms
r
@0
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3)))) (/ (* r (sin b)) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))))) (* (neg (sin b)) (sin a)) (cos b) (+ (* (neg (sin b)) a) (cos b)) (+ (pow a 3) (pow b 3)) (/ -1 (+ (* (- b a) b) (* a a))))
6.0ms
r
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3)))) (/ (* r (sin b)) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))))) (* (neg (sin b)) (sin a)) (cos b) (+ (* (neg (sin b)) a) (cos b)) (+ (pow a 3) (pow b 3)) (/ -1 (+ (* (- b a) b) (* a a))))
5.0ms
b
@inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3)))) (/ (* r (sin b)) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))))) (* (neg (sin b)) (sin a)) (cos b) (+ (* (neg (sin b)) a) (cos b)) (+ (pow a 3) (pow b 3)) (/ -1 (+ (* (- b a) b) (* a a))))
4.0ms
b
@-inf
((/ (* r (sin b)) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a)))) (* r (sin b)) (sin b) (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (* b r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3)))) (/ (* r (sin b)) (cos (* (/ -1 (+ (* (- b a) b) (* a a))) (+ (pow a 3) (pow b 3))))) (* (neg (sin b)) (sin a)) (cos b) (+ (* (neg (sin b)) a) (cos b)) (+ (pow a 3) (pow b 3)) (/ -1 (+ (* (- b a) b) (* a a))))

simplify153.0ms (1.4%)

Memory
-18.3MiB live, 169.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06162153
119571899
269961831
088521740
Stop Event
iter limit
node limit
Counts
116 → 115
Calls
Call 1
Inputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(* b r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(* -1 b)
(+ (* -1 a) (* -1 b))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -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))))
(* -1 (* a (sin b)))
(* a (+ (* -1 (sin b)) (* 1/6 (* (pow a 2) (sin b)))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (sin b))) (* 1/6 (sin b))))))
(* a (+ (* -1 (sin b)) (* (pow a 2) (+ (* 1/6 (sin b)) (* (pow a 2) (+ (* -1/120 (sin b)) (* 1/5040 (* (pow a 2) (sin b)))))))))
(pow b 3)
(+ (pow a 3) (pow b 3))
(/ -1 (pow b 2))
(- (* -1 (/ a (pow b 3))) (/ 1 (pow b 2)))
(- (* a (- (/ (pow a 2) (pow b 5)) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(- (* a (- (* (pow a 2) (+ (/ 1 (pow b 5)) (/ a (pow b 6)))) (/ 1 (pow b 3)))) (/ 1 (pow b 2)))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow b 2) (pow a 2)))) 1))
(* a (- (+ (* -1 (/ b a)) (+ (* -1 (/ (pow b 2) (pow a 2))) (+ (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 3)) (/ (pow b 2) (pow a 2))))) 1))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* -1 (* (sin a) (sin b)))
(* a (+ (* -1 (sin b)) (/ (cos b) a)))
(pow a 3)
(* (pow a 3) (+ 1 (/ (pow b 3) (pow a 3))))
(/ -1 (pow a 2))
(/ (- (* -1 (/ b a)) 1) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) (pow a 2))) (+ 1 (/ b a))) (pow a 2))
(/ (- (* -1 (/ (+ (* -1 (pow b 3)) (* 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)))))) (pow a 2))
(/ (* r (sin b)) (cos (- b (* -1 a))))
(* -1 (* a (+ 1 (/ b a))))
(* -1 (* a (+ 1 (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a))) a)))))
(* -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)))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(* -1 (* a (+ (sin b) (* -1 (/ (cos b) a)))))
(* -1 (* (pow a 3) (- (* -1 (/ (pow b 3) (pow a 3))) 1)))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)) (* -1 b)) a)) 1) (pow a 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (/ (pow b 3) a)) (+ (* -1 (pow b 2)) (pow b 2))) a)) (* -1 b)) a)) 1) (pow a 2))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(cos a)
(+ (cos a) (* -1 (* b (sin a))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(* -1 (* b (sin a)))
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
1
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(+ 1 (* -1 (* a b)))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(sin b)
(* b (- (* -1 (/ a b)) 1))
(* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))
(* 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))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(/ (- (* -1 (/ a b)) 1) (pow b 2))
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2))
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (* b (+ 1 (/ a b))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(* -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)))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2))
Outputs
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b r)
(*.f64 b r)
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
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(*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* 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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b)) b (/.f64 r (cos.f64 a))) b)
(* -1 (* b (sin a)))
(*.f64 (neg.f64 (sin.f64 a)) b)
(* b (+ (* -1 (sin a)) (* 1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64))) b)
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* -1/120 (* (pow b 2) (sin a))) (* 1/6 (sin a))))))
(fma.f64 (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (neg.f64 (sin.f64 a)) b))
(* b (+ (* -1 (sin a)) (* (pow b 2) (+ (* 1/6 (sin a)) (* (pow b 2) (+ (* -1/120 (sin a)) (* 1/5040 (* (pow b 2) (sin a)))))))))
(*.f64 (fma.f64 (sin.f64 a) (fma.f64 (*.f64 #s(literal 1/6 binary64) b) b #s(literal -1 binary64)) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 (*.f64 b b) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))) b)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* -1 (* a b)))
(fma.f64 (neg.f64 a) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* -1/2 b))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) b (neg.f64 a)) b #s(literal 1 binary64))
(+ 1 (* b (+ (* -1 a) (* b (- (* 1/6 (* a b)) 1/2)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 a b) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) b (neg.f64 a)) b #s(literal 1 binary64))
(- (* -1 (/ b (pow a 3))) (/ 1 (pow a 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 b a)) a) a)
(- (* b (- (/ (pow b 2) (pow a 5)) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 b (/.f64 b (pow.f64 a #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(- (* b (- (* (pow b 2) (+ (/ 1 (pow a 5)) (/ b (pow a 6)))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))
(fma.f64 (fma.f64 (+.f64 (/.f64 b (pow.f64 a #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b) (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)))) b (/.f64 #s(literal -1 binary64) (*.f64 a a)))
(sin b)
(sin.f64 b)
(* b (- (* -1 (/ a b)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* b (- (+ (* -1 (/ a b)) (+ (* -1 (/ (pow a 2) (pow b 2))) (/ (pow a 2) (pow b 2)))) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* 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))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (- (+ (pow a 2) (pow b 2)) (* a b))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(* (pow b 3) (+ 1 (/ (pow a 3) (pow b 3))))
(*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (- (* -1 (/ a b)) 1) (pow b 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)
(/ (- (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) (pow b 2))) (+ 1 (/ a b))) (pow b 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)
(/ (- (* -1 (/ (+ (* -1 (pow a 3)) (* a (+ (* -1 (pow a 2)) (pow a 2)))) (pow b 3))) (+ 1 (+ (* -1 (/ (pow a 2) (pow b 2))) (+ (/ a b) (/ (pow a 2) (pow b 2)))))) (pow b 2))
(/.f64 (-.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 a b)) (*.f64 b b))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(* -1 (* b (+ 1 (/ a b))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* -1 (* b (+ 1 (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (pow a 2)) (pow a 2)) b))) b)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(* -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)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow a 3) (pow b 3))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 a b) #s(literal 3 binary64))) (neg.f64 (pow.f64 b #s(literal 3 binary64))))
(/ (- (* -1 (/ (- (+ (* -1 (/ (pow a 2) b)) (/ (pow a 2) b)) (* -1 a)) b)) 1) (pow b 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (+ (* -1 (pow a 2)) (pow a 2))) b)) (/ (pow a 3) b)) (+ (* -1 (pow a 2)) (pow a 2))) b)) (* -1 a)) b)) 1) (pow b 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (/.f64 a b) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 a b))) b) b)

rewrite328.0ms (3%)

Memory
2.5MiB live, 372.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046239
073235
1272154
21883154
08628154
Stop Event
iter limit
node limit
iter limit
Counts
19 → 586
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))
(cos.f64 b)
(fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
Outputs
(*.f64 (/.f64 r (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 (sin.f64 b) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 b)) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 (neg.f64 r) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 r #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (neg.f64 r) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 r (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (/.f64 r (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 b) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (/.f64 (sin.f64 b) (cos.f64 (-.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
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(*.f64 r (sin.f64 b))
(sin.f64 b)
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(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
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(/.f64 (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))) (cos.f64 (-.f64 a b)))
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(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (+.f64 a b)) (cos.f64 (-.f64 a b))))))
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(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
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(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(cos.f64 (+.f64 a b))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b)))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(+.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))))
(+.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (*.f64 (cos.f64 a) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (* (/ r (cos a)) b) (*.f64 b r))
(*.f64 b r)
(*.f64 r b)
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(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 a b) #s(literal 3 binary64))) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) b (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) a (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) b))
(fma.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) b (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) a))
(fma.f64 (*.f64 a a) a (pow.f64 b #s(literal 3 binary64)))
(fma.f64 a (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a))))
(fma.f64 a (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 a (fma.f64 (-.f64 b a) b (*.f64 a a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(+.f64 (*.f64 a (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (*.f64 b (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 a (fma.f64 (-.f64 b a) b (*.f64 a a))))
(+.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) a) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) b))
(+.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) b) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) a))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 (neg.f64 a) a)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)))) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))) #s(literal -1 binary64)))

eval101.0ms (0.9%)

Memory
30.2MiB live, 254.4MiB allocated
Compiler

Compiled 27 283 to 2 831 computations (89.6% saved)

prune140.0ms (1.3%)

Memory
-4.2MiB live, 238.1MiB allocated
Pruning

82 alts after pruning (76 fresh and 6 done)

PrunedKeptTotal
New70821729
Fresh115566
Picked145
Done022
Total72082802
Accuracy
99.9%
Counts
802 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
99.1%
(/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
56.7%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
55.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
58.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
62.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 b)) a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
32.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
31.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)))))
17.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
15.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
46.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a #s(approx (cos b) #s(literal 1 binary64)))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
33.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
33.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
33.1%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
32.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
73.9%
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
99.3%
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
74.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
73.9%
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
32.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
32.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
48.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
70.9%
(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))))
87.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
40.7%
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
73.9%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
74.0%
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
51.3%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
58.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
48.0%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
56.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
73.4%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
73.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
73.7%
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
48.6%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
69.1%
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
73.7%
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
75.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
74.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
58.7%
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
99.2%
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
74.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
58.7%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
73.9%
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
73.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
69.3%
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
31.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
47.5%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
25.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
26.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 3 627 to 2 496 computations (31.2% saved)

simplify180.0ms (1.6%)

Memory
-26.8MiB live, 181.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
cost-diff704
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
cost-diff3008
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
cost-diff0
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
cost-diff0
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
cost-diff0
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
cost-diff0
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
cost-diff0
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
cost-diff0
(sin.f64 b)
cost-diff0
(*.f64 r (sin.f64 b))
cost-diff0
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069571
0109554
1193548
2349488
3776474
41922474
55636474
08406474
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(*.f64 (*.f64 a a) r)
(*.f64 a a)
a
r
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(*.f64 b b)
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
(-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))))
#s(literal -1 binary64)
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
(/.f64 a b)
a
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (/.f64 a b) (/.f64 a b))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(*.f64 r (sin.f64 b))
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(cos.f64 b)
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 a a)
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(*.f64 (cos.f64 b) (cos.f64 a))
(*.f64 (cos.f64 a) (cos.f64 b))
(cos.f64 b)
(cos.f64 a)
a
(*.f64 (sin.f64 a) (sin.f64 b))
(sin.f64 a)
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)) b))
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
(*.f64 #s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)) b)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
#s(approx (/ r (cos a)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a a) r) r)
(*.f64 (*.f64 a a) r)
(*.f64 a a)
a
r
#s(literal 1/2 binary64)
b
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sin.f64 b) r) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))
(*.f64 b b)
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)))
#s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))
#s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))))
(-.f64 #s(literal -1 binary64) (/.f64 a b))
#s(literal -1 binary64)
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
(/.f64 a b)
(/.f64 a b)
a
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) b) a)
(*.f64 (/.f64 a b) (/.f64 a b))
(*.f64 (/.f64 (/.f64 a b) b) a)
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))))
(*.f64 r (sin.f64 b))
(*.f64 (sin.f64 b) r)
r
(sin.f64 b)
b
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(neg.f64 (sin.f64 a))
(sin.f64 a)
a
(*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))
(*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))
(cos.f64 b)
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 a a)
#s(literal 1 binary64)

localize355.0ms (3.2%)

Memory
44.2MiB live, 425.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.13576127930532605
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
accuracy32.273972800353654
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
accuracy5.265581652434322
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
accuracy8.17421642429135
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
accuracy16.558290556340086
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))
accuracy27.002346474716724
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
accuracy0.29283930835031613
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
accuracy30.215587681307476
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
accuracy33.60445832426304
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
accuracy0.0859375
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
accuracy8.662542735161587
(*.f64 (*.f64 a a) r)
accuracy32.173080390557644
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
accuracy33.222097248571906
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
accuracy0.11453878162065376
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
accuracy0.125
(*.f64 r (sin.f64 b))
accuracy0.21484375
(*.f64 (sin.f64 a) (sin.f64 b))
accuracy0.22265625
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Samples
282.0ms216×1valid
23.0ms40×0valid
Compiler

Compiled 969 to 128 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-add: 54.0ms (23.2% of total)
ival-mult: 39.0ms (16.7% of total)
ival-cos: 34.0ms (14.6% of total)
adjust: 32.0ms (13.7% of total)
ival-div: 25.0ms (10.7% of total)
ival-sin: 15.0ms (6.4% of total)
ival-pow: 11.0ms (4.7% of total)
const: 10.0ms (4.3% of total)
ival-sub: 8.0ms (3.4% of total)
ival-neg: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series104.0ms (0.9%)

Memory
-25.3MiB live, 101.6MiB allocated
Counts
22 → 108
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (*.f64 a a) r)
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(* (pow a 2) r)
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 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))))
(* 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))))))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(* -1 b)
(+ (* -1 a) (* -1 b))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (/ 1 (* a b)) (/ 1 (pow b 2))))
(* (sin a) (sin b))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(* -1 (* a (+ 1 (/ b a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -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 (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (- (* a b) (pow a 2)) (pow b 2))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
1/24
(+ 1/24 (* -1/720 (pow b 2)))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(sin b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(* -1/720 (pow b 2))
(* (pow b 2) (- (* 1/24 (/ 1 (pow b 2))) 1/720))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(* b (- (* -1 (/ a b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(* -1 (* b (+ 1 (/ a b))))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
r
@0
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b)))) (- (/ a b) (* (/ a b) (/ a b))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (* (- -1 (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b))))) b) (cos a))
29.0ms
a
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b)))) (- (/ a b) (* (/ a b) (/ a b))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (* (- -1 (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b))))) b) (cos a))
8.0ms
r
@-inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b)))) (- (/ a b) (* (/ a b) (/ a b))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (* (- -1 (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b))))) b) (cos a))
7.0ms
r
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b)))) (- (/ a b) (* (/ a b) (/ a b))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (* (- -1 (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b))))) b) (cos a))
7.0ms
b
@inf
((/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b)))) (* r (sin b)) (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b))) (/ (* r (sin b)) (cos (+ a b))) (* (/ r (cos a)) b) (/ r (cos a)) (+ (* (* (* a a) r) 1/2) r) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b)))) (- (/ a b) (* (/ a b) (/ a b))) (/ (* r (sin b)) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))))) (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (* (sin a) (sin b)) (* (* a a) r) (cos b) (+ (* (* b b) -1/720) 1/24) (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (* (- -1 (+ (* (/ a b) (/ a b)) (- (/ a b) (* (/ a b) (/ a b))))) b) (cos a))

simplify243.0ms (2.2%)

Memory
-3.0MiB live, 250.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04931939
115511797
251511748
090591646
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(* r (sin b))
(/ (* r (sin b)) (cos (+ a b)))
(/ (* b r) (cos a))
(/ r (cos a))
(* r (+ 1 (* 1/2 (pow a 2))))
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(* (pow a 2) r)
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(/ (* r (sin b)) (cos b))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(cos b)
(+ (cos b) (* -1 (* a (sin b))))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(* b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
r
(+ r (* 1/2 (* (pow a 2) r)))
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
(/ a b)
(* a (+ (* -1 (/ a (pow b 2))) (/ 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))))
(* 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))))))))
(cos (* -1 b))
(+ (cos (* -1 b)) (* a (sin (* -1 b))))
(+ (cos (* -1 b)) (* a (- (* -1/2 (* a (cos (* -1 b)))) (* -1 (sin (* -1 b))))))
(+ (cos (* -1 b)) (* a (- (* a (+ (* -1/2 (cos (* -1 b))) (* -1/6 (* a (sin (* -1 b)))))) (* -1 (sin (* -1 b))))))
(* -1 b)
(+ (* -1 a) (* -1 b))
1
(+ 1 (* -1/2 (pow a 2)))
(+ 1 (* (pow a 2) (- (* 1/24 (pow a 2)) 1/2)))
(+ 1 (* (pow a 2) (- (* (pow a 2) (+ 1/24 (* -1/720 (pow a 2)))) 1/2)))
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
(* 1/2 (* (pow a 2) r))
(* (pow a 2) (+ (* 1/2 r) (/ r (pow a 2))))
(+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b)))
(* -1 (/ (pow a 2) (pow b 2)))
(* (pow a 2) (- (/ 1 (* a b)) (/ 1 (pow b 2))))
(* (sin a) (sin b))
(cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2)))))
(* -1 a)
(* a (- (* -1 (/ b a)) 1))
(cos a)
(/ (* r (sin b)) (cos (- b (* -1 a))))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2))))))
(cos (* -1 (/ (- (pow b 3) (* -1 (pow a 3))) (+ (* b (+ b (* -1 a))) (pow a 2)))))
(* -1 (* a (+ 1 (/ b a))))
(* b (+ (/ r (cos a)) (/ (* b (* r (sin a))) (pow (cos a) 2))))
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ (* b (- (* b (- (+ (* -1 (* b (+ (* -1 (/ (* (sin a) (- (* -1/6 (/ r (cos a))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (cos a))) (+ (* -1/2 (/ (* r (sin a)) (pow (cos a) 2))) (* 1/6 (/ (* r (sin a)) (pow (cos a) 2))))))) (* -1/6 (/ r (cos a)))) (+ (* -1 (/ (* r (pow (sin a) 2)) (pow (cos a) 3))) (* -1/2 (/ r (cos a)))))) (* -1 (/ (* r (sin a)) (pow (cos a) 2))))) (/ r (cos a))))
(* b (+ r (* -1/6 (* (pow b 2) r))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(+ (cos a) (* -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 (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(/ (- (* a b) (pow a 2)) (pow b 2))
(/ (* b r) (cos (* -1 a)))
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(* 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)))))
(* 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)))))
(* b (sin a))
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) (sin a))) (* 1/120 (sin a))))))))
(+ 1 (* -1/2 (pow b 2)))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
1/24
(+ 1/24 (* -1/720 (pow b 2)))
(cos (* -1 a))
(+ (cos (* -1 a)) (* b (sin (* -1 a))))
(+ (cos (* -1 a)) (* b (- (* -1/2 (* b (cos (* -1 a)))) (* -1 (sin (* -1 a))))))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(sin b)
(/ (+ a (* -1 (/ (pow a 2) b))) b)
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
(* -1/720 (pow b 2))
(* (pow b 2) (- (* 1/24 (/ 1 (pow b 2))) 1/720))
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(* b (- (* -1 (/ a b)) 1))
(/ (* r (sin b)) (cos (- a (* -1 b))))
(* -1 (/ (+ (* -1 a) (/ (pow a 2) b)) b))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(* -1 (* b (+ 1 (/ a b))))
Outputs
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(* r (sin b))
(*.f64 (sin.f64 b) r)
(/ (* r (sin b)) (cos (+ a b)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(/ (* b r) (cos a))
(*.f64 (/.f64 r (cos.f64 a)) b)
(/ r (cos a))
(/.f64 r (cos.f64 a))
(* r (+ 1 (* 1/2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)
(/ (* r (sin b)) (+ (* -1 (* (sin a) (sin b))) (* (cos a) (cos b))))
(/.f64 (*.f64 (sin.f64 b) r) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 b) (cos.f64 a))))
(/ (* r (sin b)) (cos (* -1 (/ (+ (pow a 3) (pow b 3)) (+ (* b (- b a)) (pow a 2))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(* (pow a 2) r)
(*.f64 (*.f64 a a) r)
(* -1 (* r (- (* -1/2 (pow a 2)) 1)))
(*.f64 (neg.f64 r) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal -1 binary64)))
(/ (* r (sin b)) (cos b))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 b)))
(+ (/ (* a (* r (pow (sin b) 2))) (pow (cos b) 2)) (/ (* r (sin b)) (cos b)))
(fma.f64 (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) r) (/.f64 a (pow.f64 (cos.f64 b) #s(literal 2 binary64))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (/.f64 (sin.f64 b) (cos.f64 b)) r (*.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b)))) a (*.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 b) #s(literal 2 binary64))))) a))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (+ (* 1/6 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))) (/ (* (sin b) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b))))) (cos b)))))) (+ (* -1 (/ (* r (pow (sin b) 3)) (pow (cos b) 3))) (* -1/2 (/ (* r (sin b)) (cos b)))))) (* -1 (/ (* r (pow (sin b) 2)) (pow (cos b) 2))))) (/ (* r (sin b)) (cos b)))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 b) #s(literal 2 binary64)) (pow.f64 (cos.f64 b) #s(literal 2 binary64))) r (*.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (neg.f64 r) (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))) (cos.f64 b)) (sin.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))) (fma.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 b) r)) (cos.f64 b))))) a)) a (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(cos b)
(cos.f64 b)
(+ (cos b) (* -1 (* a (sin b))))
(fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))
(+ (cos b) (* a (- (* -1/2 (* a (cos b))) (sin b))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (- (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))) (sin b))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 b) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 b))) a) (sin.f64 b)) a (cos.f64 b))
(* b r)
(*.f64 b r)
(+ (* 1/2 (* (pow a 2) (* b r))) (* b r))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (*.f64 (*.f64 b r) #s(literal 5/24 binary64)) (*.f64 a a))) (*.f64 a a) (*.f64 b r))
(+ (* b r) (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 (* b r)) (+ (* 1/48 (* b r)) (* 1/2 (+ (* -1/4 (* b r)) (* 1/24 (* b r)))))))) (+ (* -1/4 (* b r)) (* 1/24 (* b r))))) (* -1/2 (* b r)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) b) r (*.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 (*.f64 b r) #s(literal 7/360 binary64) (*.f64 (*.f64 b r) #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) (*.f64 b r))) (*.f64 a a))) (*.f64 a a) (*.f64 b r))
r
(+ r (* 1/2 (* (pow a 2) r)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) #s(literal 1 binary64)) r)
(+ r (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
(+ r (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -1/720 r) (+ (* 1/48 r) (* 1/2 (+ (* -1/4 r) (* 1/24 r))))))) (+ (* -1/4 r) (* 1/24 r)))) (* -1/2 r))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 a) a) (fma.f64 r #s(literal 7/360 binary64) (*.f64 r #s(literal -5/48 binary64))) (*.f64 #s(literal 5/24 binary64) r)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)
(+ (cos b) (* a (+ (* -1 (sin b)) (* -1/2 (* a (cos b))))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))
(+ (cos b) (* a (+ (* -1 (sin b)) (* a (+ (* -1/2 (cos b)) (* 1/6 (* a (sin b))))))))
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1
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(* b (+ r (* -1/6 (* (pow b 2) r))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* 1/120 (* (pow b 2) r))))))
(*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)
(* b (+ r (* (pow b 2) (+ (* -1/6 r) (* (pow b 2) (+ (* -1/5040 (* (pow b 2) r)) (* 1/120 r)))))))
(fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))
b
(* b (+ 1 (* -1/6 (pow b 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 b #s(literal 3 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* 1/120 (pow b 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)
(* b (+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/120 (* -1/5040 (pow b 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b)
(+ (cos a) (* -1 (* b (sin a))))
(fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* -1/2 (* b (cos a))) (sin a))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (- (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))) (sin a))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* -1/2 (* b (cos a))))))
(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos a) (* b (+ (* -1 (sin a)) (* b (+ (* -1/2 (cos a)) (* 1/6 (* b (sin a))))))))
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 a) b) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b) (sin.f64 a)) b (cos.f64 a))
(/ (- (* a b) (pow a 2)) (pow b 2))
(*.f64 (/.f64 a b) (/.f64 (-.f64 b a) b))
(/ (* b r) (cos (* -1 a)))
(*.f64 (/.f64 r (cos.f64 a)) b)
(* b (+ (* -1 (/ (* b (* r (sin (* -1 a)))) (pow (cos (* -1 a)) 2))) (/ r (cos (* -1 a)))))
(*.f64 (fma.f64 (*.f64 (sin.f64 a) r) (/.f64 b (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 r (cos.f64 a))) b)
(* b (+ (* b (- (* b (- (* -1/6 (/ r (cos (* -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)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) b (*.f64 (sin.f64 a) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64))))) b (/.f64 r (cos.f64 a))) b)
(* b (+ (* 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)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) r (*.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 (sin.f64 a)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)))) (neg.f64 b) (+.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 r (cos.f64 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 r (cos.f64 a)))) (*.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (/.f64 r (pow.f64 (cos.f64 a) #s(literal 3 binary64)))))) b)) b (/.f64 r (cos.f64 a))) b)
(* b (sin a))
(*.f64 (sin.f64 a) b)
(* b (+ (sin a) (* -1/6 (* (pow b 2) (sin a)))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a)) b)
(* b (+ (sin a) (* (pow b 2) (+ (* -1/6 (sin a)) (* 1/120 (* (pow b 2) (sin a)))))))
(fma.f64 (*.f64 (sin.f64 a) (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (pow.f64 b #s(literal 3 binary64)) (*.f64 (sin.f64 a) b))
(* 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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) (sin.f64 a) (*.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sin.f64 a) (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))))) b)
(+ 1 (* -1/2 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* 1/24 (pow b 2)) 1/2)))
(fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
(+ 1 (* (pow b 2) (- (* (pow b 2) (+ 1/24 (* -1/720 (pow b 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1/24 (* -1/720 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(cos (* -1 a))
(cos.f64 a)
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(fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) b) #s(literal -1/2 binary64)) (sin.f64 a)) b (cos.f64 a))
(+ (cos (* -1 a)) (* b (- (* b (+ (* -1/2 (cos (* -1 a))) (* -1/6 (* b (sin (* -1 a)))))) (* -1 (sin (* -1 a))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) b) (neg.f64 (sin.f64 a)) (*.f64 #s(literal -1/2 binary64) (cos.f64 a))) b (neg.f64 (sin.f64 a))) b (cos.f64 a))
(sin b)
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(*.f64 (/.f64 a b) (/.f64 (-.f64 b a) b))
(/ (* r (sin b)) (cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2))))))
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(* -1/720 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/720 binary64))
(* (pow b 2) (- (* 1/24 (/ 1 (pow b 2))) 1/720))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 b b)) #s(literal 1/720 binary64)) b) b)
(cos (/ (+ (pow a 3) (pow b 3)) (- (* a b) (+ (pow a 2) (pow b 2)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 a (-.f64 b a) (*.f64 (neg.f64 b) b))))
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)
(/ (* r (sin b)) (cos (- a (* -1 b))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
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(*.f64 (/.f64 a b) (/.f64 (-.f64 b a) b))
(/ (* r (sin b)) (cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2)))))))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(cos (* -1 (/ (- (pow a 3) (* -1 (pow b 3))) (+ (* -1 (* a b)) (+ (pow a 2) (pow b 2))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(* -1 (* b (+ 1 (/ a b))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b)

rewrite170.0ms (1.5%)

Memory
-3.5MiB live, 221.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069388
0109344
1439316
23474300
08589300
Stop Event
iter limit
node limit
iter limit
Counts
22 → 413
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(*.f64 r (sin.f64 b))
(sin.f64 b)
(-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
(*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b)
#s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r))
(fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))
(fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))
(-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (*.f64 a a) r)
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)))
(*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b)
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 a b)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 b) r) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(*.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (pow.f64 (neg.f64 (cos.f64 (+.f64 a b))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b))))
(*.f64 (*.f64 (sin.f64 b) r) (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) (/.f64 r (cos.f64 (+.f64 a b))))
(*.f64 (sin.f64 b) (*.f64 r (pow.f64 (cos.f64 (+.f64 a b)) #s(literal -1 binary64))))
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64))) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (+.f64 a b))))))
(/.f64 (*.f64 (*.f64 (sin.f64 b) r) #s(literal 1 binary64)) (cos.f64 (+.f64 a b)))
(/.f64 (neg.f64 (*.f64 (neg.f64 r) (sin.f64 b))) (neg.f64 (neg.f64 (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (neg.f64 (cos.f64 (+.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
(neg.f64 (/.f64 (*.f64 (neg.f64 r) (sin.f64 b)) (cos.f64 (+.f64 a b))))
(neg.f64 (/.f64 (*.f64 (sin.f64 b) r) (neg.f64 (cos.f64 (+.f64 a b)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (sin.f64 b) r)
(*.f64 r (sin.f64 b))
(sin.f64 b)
(*.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (pow.f64 (cos.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (neg.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) (neg.f64 (cos.f64 (-.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal 2 binary64))
(/.f64 (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) (cos.f64 (-.f64 a b)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (cos.f64 a)) (cos.f64 b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 a b)) (*.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(fma.f64 (cos.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (cos.f64 (/.f64 (*.f64 b b) (-.f64 a b))) (*.f64 (sin.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (sin.f64 (/.f64 (*.f64 b b) (-.f64 a b)))))
(fma.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (+.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 a) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 (cos.f64 a) (cos.f64 b)))
(fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 a) (cos.f64 b)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))) (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (cos.f64 (-.f64 a b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (-.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b))) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (sin.f64 b) #s(literal -1 binary64)) (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)))
(fma.f64 (neg.f64 (sin.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)))
(fma.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 a) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (sin.f64 a) (neg.f64 (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(fma.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(fma.f64 (sin.f64 b) (neg.f64 (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 (/.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))) (/.f64 (pow.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(-.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
(+.f64 (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))
(+.f64 (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)) (*.f64 (neg.f64 (sin.f64 a)) (sin.f64 b)))
(*.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 a) (sin.f64 b))
(*.f64 (sin.f64 b) (sin.f64 a))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 a b)) (cos.f64 (+.f64 a b)))))
(-.f64 (/.f64 (cos.f64 (-.f64 a b)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 a b)) #s(literal 2 binary64)))
(*.f64 (*.f64 a r) a)
(*.f64 (*.f64 a a) r)
(*.f64 a (*.f64 a r))
(*.f64 r (*.f64 a a))
#s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) #s(literal -1/576 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 b b) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 1/13824 binary64))))
(fma.f64 (*.f64 #s(literal -1/720 binary64) b) b #s(literal 1/24 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
(fma.f64 b (*.f64 #s(literal -1/720 binary64) b) #s(literal 1/24 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal -1/24 binary64))))
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 b b)) #s(literal 1/24 binary64))
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 b b)))
(cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) b)))
(*.f64 (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) b)
(*.f64 b (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64))) b)) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64))) b) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 3 binary64))) b) (fma.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 b (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 b (-.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) b (*.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) b))
(fma.f64 b #s(literal -1 binary64) (*.f64 b (neg.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(+.f64 (*.f64 b #s(literal -1 binary64)) (*.f64 b (neg.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64)))))))
(+.f64 (neg.f64 b) (*.f64 (neg.f64 (-.f64 (/.f64 a b) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) b))
#s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))

eval75.0ms (0.7%)

Memory
28.1MiB live, 184.8MiB allocated
Compiler

Compiled 23 042 to 2 588 computations (88.8% saved)

prune324.0ms (2.9%)

Memory
-25.7MiB live, 189.0MiB allocated
Pruning

92 alts after pruning (84 fresh and 8 done)

PrunedKeptTotal
New52921550
Fresh86371
Picked325
Done066
Total54092632
Accuracy
99.9%
Counts
632 → 92
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
99.1%
(/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
56.9%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
56.8%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
60.3%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
55.4%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
58.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
52.6%
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
99.4%
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
99.5%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
62.8%
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a))))
32.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
29.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
68.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
31.1%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)))))
15.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
16.9%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
40.2%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
31.7%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (/.f64 (-.f64 a (*.f64 (/.f64 (neg.f64 a) b) a)) b)))) b))))
31.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))))) b))))
46.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) #s(approx (- (/ a b) (* (/ a b) (/ a b))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 a b))))) b))))
46.6%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))) b))))
46.5%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (pow.f64 b #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
44.8%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (/.f64 a b) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
41.4%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
40.0%
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 a b) a) b (*.f64 a b)) (*.f64 a a)) (*.f64 b b))) b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
56.6%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
34.0%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a #s(approx (cos b) #s(literal 1 binary64)))))
58.7%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
33.3%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
36.9%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
51.4%
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
31.5%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
31.5%
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
73.9%
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
99.3%
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
74.0%
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
73.9%
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
31.7%
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
32.4%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
31.8%
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
32.5%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
31.7%
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
48.1%
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
99.4%
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
70.9%
(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))))
87.3%
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
40.7%
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
73.9%
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.4%
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
74.0%
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
51.3%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
58.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
48.0%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
56.6%
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
73.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
56.6%
(*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
73.7%
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
48.6%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
73.7%
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
99.3%
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
75.3%
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
74.0%
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
58.7%
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
33.0%
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
99.2%
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
74.0%
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
56.7%
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
58.7%
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
73.9%
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
73.9%
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
69.3%
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
36.1%
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
31.7%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
32.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
48.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
25.1%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
26.0%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
10.9%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
9.2%
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
32.8%
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Compiler

Compiled 6 009 to 2 312 computations (61.5% saved)

regimes156.0ms (1.4%)

Memory
-8.3MiB live, 229.1MiB allocated
Counts
136 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 a b) a) b (*.f64 a b)) (*.f64 a a)) (*.f64 b b))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) #s(approx (- (/ a b) (* (/ a b) (/ a b))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 a b))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (/.f64 a b) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (pow.f64 b #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))))) b))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (/.f64 (-.f64 a (*.f64 (/.f64 (neg.f64 a) b) a)) b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b))) #s(literal -1 binary64)) (*.f64 (sin.f64 b) r))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) r))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 a) (cos.f64 b))))))
(/.f64 r (-.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b))))
(/.f64 (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (sin.f64 b))) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 r (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))
(/.f64 r (/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (*.f64 (sin.f64 b) (*.f64 (sin.f64 a) (sin.f64 b)))) (pow.f64 (sin.f64 b) #s(literal 2 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (fma.f64 (/.f64 r (cos.f64 b)) (sin.f64 b) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 b) (cos.f64 b)) #s(literal 3 binary64)) r) a (*.f64 (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)) (fma.f64 (neg.f64 a) #s(literal -1/2 binary64) (/.f64 (sin.f64 b) (cos.f64 b))))) a)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 b)) (sin.f64 a) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 a) (sin.f64 b))))))))
(*.f64 (/.f64 (sin.f64 b) (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64)))) (/.f64 r (pow.f64 (fma.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (cos.f64 (-.f64 a b)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a)))))))
(*.f64 (/.f64 r (+.f64 (pow.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)))) (/.f64 (sin.f64 b) (pow.f64 (fma.f64 (*.f64 (sin.f64 a) (neg.f64 (sin.f64 b))) (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 (neg.f64 (cos.f64 a)) (cos.f64 b))) (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 r (sin.f64 b)) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 a) (cos.f64 b)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 a) (sin.f64 b)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))))
(/.f64 r (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (fma.f64 (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)) (*.f64 (/.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (/.f64 (*.f64 (sin.f64 a) (sin.f64 b)) (sin.f64 b)))))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
Calls

4 calls:

41.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
39.0ms
r
35.0ms
a
35.0ms
b
Results
AccuracySegmentsBranch
99.5%1r
99.5%1a
99.5%1b
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes127.0ms (1.1%)

Memory
-0.8MiB live, 232.8MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 a b) a) b (*.f64 a b)) (*.f64 a a)) (*.f64 b b))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) #s(approx (- (/ a b) (* (/ a b) (/ a b))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 a b))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (/.f64 a b) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (pow.f64 b #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))))) b))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (/.f64 (-.f64 a (*.f64 (/.f64 (neg.f64 a) b) a)) b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
Calls

4 calls:

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

Compiled 12 to 17 computations (-41.7% saved)

regimes239.0ms (2.2%)

Memory
-6.5MiB live, 199.4MiB allocated
Counts
116 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 b) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a #s(approx (cos b) #s(literal 1 binary64)))))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (-.f64 (/.f64 (cos.f64 b) (sin.f64 b)) a)))
(/.f64 r (/.f64 (cos.f64 (+.f64 a b)) (sin.f64 b)))
(/.f64 (sin.f64 b) (/.f64 (cos.f64 (+.f64 a b)) r))
(*.f64 (neg.f64 r) (*.f64 (sin.f64 b) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (sin.f64 b) (*.f64 (neg.f64 r) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b)))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 a b))) (*.f64 (neg.f64 r) (sin.f64 b)))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1/6 binary64) b))) (cos.f64 (+.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (fma.f64 (neg.f64 (sin.f64 a)) b (cos.f64 a)) b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b))))
(/.f64 r (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (/.f64 #s(literal -1 binary64) r))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 (+.f64 a b)) r) (*.f64 (sin.f64 b) #s(literal 1 binary64))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (-.f64 b a)))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 a b) a) b (*.f64 a b)) (*.f64 a a)) (*.f64 b b))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) #s(approx (- (/ a b) (* (/ a b) (/ a b))) (*.f64 (/.f64 (neg.f64 a) b) (/.f64 a b))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 a (*.f64 b b)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 a (/.f64 (/.f64 a b) b) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (-.f64 (/.f64 a b) (*.f64 (/.f64 a b) (/.f64 a b))))) b))))
(/.f64 r (*.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 a) (sin.f64 b) (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (neg.f64 b) (sin.f64 a) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (neg.f64 (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 b)) (*.f64 (pow.f64 r #s(literal -1 binary64)) (cos.f64 (+.f64 a b))))
(/.f64 (/.f64 r (cos.f64 (+.f64 a b))) (pow.f64 (sin.f64 b) #s(literal -1 binary64)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 a b) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 b) #s(literal -1 binary64)) (/.f64 r (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 #s(approx (+ (pow b 3) (pow a 3)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 r r)) r)) #s(literal -1 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b) (neg.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64))))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 b #s(literal -2 binary64)) (*.f64 a a) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (/.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (pow.f64 (+.f64 a b) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 a b) a) (pow.f64 b #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a b)) (/.f64 b a)))) b))))
(*.f64 (exp.f64 (log.f64 r)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 r #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 (+.f64 a b)) (*.f64 (sin.f64 b) r))) #s(literal -1 binary64)))
(*.f64 (pow.f64 r #s(literal 1/2 binary64)) (*.f64 (pow.f64 r #s(literal 1/2 binary64)) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) #s(approx (* (sin a) (sin b)) (*.f64 (sin.f64 b) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 #s(approx (cos b) #s(literal 1 binary64)) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (neg.f64 (sin.f64 b)) a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) r) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 (sin.f64 b))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 b)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 (+.f64 a b)) (neg.f64 r)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 b) r) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b)))) (cos.f64 (-.f64 b a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (- (* (cos b) (cos a)) (* (sin a) (sin b))) (fma.f64 (-.f64 (*.f64 (*.f64 (cos.f64 b) a) #s(literal -1/2 binary64)) (sin.f64 b)) a (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r (fma.f64 (neg.f64 (sin.f64 a)) (sin.f64 b) (*.f64 #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))) (cos.f64 b)))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 #s(literal -1 binary64) (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) #s(approx (* (neg (sin b)) (sin a)) (*.f64 (*.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64))) a))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (fma.f64 (fma.f64 (sin.f64 b) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) a #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 b)) a)) a (cos.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 b a) b (*.f64 a a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 b a)) (*.f64 (cos.f64 (-.f64 b a)) (cos.f64 (+.f64 a b))))))
(/.f64 r (/.f64 (cos.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))))) b))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (/.f64 (-.f64 a (*.f64 (/.f64 (neg.f64 a) b) a)) b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
Calls

4 calls:

118.0ms
a
31.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
31.0ms
b
30.0ms
r
Results
AccuracySegmentsBranch
99.5%1a
99.5%1b
99.5%1r
99.5%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes218.0ms (2%)

Memory
40.3MiB live, 146.2MiB allocated
Counts
115 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
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#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
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(/.f64 r (/.f64 (cos.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a b) (*.f64 b b))))) (sin.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (*.f64 #s(approx (/ -1 (+ (* (- b a) b) (* a a))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 a b)) b) b)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64))))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b))))) b))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 r))) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 #s(approx (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a)))) (*.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 a b) (/.f64 a b) (/.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) (/.f64 (-.f64 a (*.f64 (/.f64 (neg.f64 a) b) a)) b)))) b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (+.f64 a b)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Calls

4 calls:

65.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
62.0ms
a
57.0ms
b
28.0ms
r
Results
AccuracySegmentsBranch
74.0%1a
74.0%1b
74.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
74.0%1r
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes60.0ms (0.5%)

Memory
-4.1MiB live, 49.0MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(*.f64 (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))) r)
Outputs
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
Calls

4 calls:

24.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
11.0ms
r
11.0ms
a
11.0ms
b
Results
AccuracySegmentsBranch
74.0%1r
74.0%1a
74.0%1b
74.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes71.0ms (0.6%)

Memory
-17.2MiB live, 58.5MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (/ (+ (pow b 3) (pow a 3)) (neg (+ (* (- b a) b) (* a a))))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (cos b) (cos a)) (* (neg (sin b)) (sin a))) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (pow.f64 (/.f64 (cos.f64 a) (*.f64 b r)) #s(literal -1 binary64)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))
Calls

4 calls:

33.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
14.0ms
r
11.0ms
b
11.0ms
a
Results
AccuracySegmentsBranch
62.0%2r
73.7%3a
73.8%3b
58.7%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a)))) (*.f64 (sin.f64 b) (/.f64 r (cos.f64 b))))
(*.f64 (sin.f64 b) (/.f64 r #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
73.8%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes63.0ms (0.6%)

Memory
-23.2MiB live, 59.3MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 (sin.f64 b) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 b b) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64))))) r)
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (*.f64 r #s(approx (sin b) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64)) (*.f64 b b) #s(literal -1/6 binary64)) (pow.f64 b #s(literal 3 binary64)) b))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (fma.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal -1/5040 binary64) (*.f64 b b) #s(literal 1/120 binary64))) (*.f64 b b) (*.f64 #s(literal -1/6 binary64) r)) (pow.f64 b #s(literal 3 binary64)) (*.f64 b r))) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
Calls

4 calls:

26.0ms
r
18.0ms
b
8.0ms
a
8.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
Results
AccuracySegmentsBranch
48.1%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
48.1%1r
48.1%1a
52.2%3b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 b (/.f64 (cos.f64 a) r)))
(/.f64 r #s(approx (/ (cos (+ a b)) (sin b)) (/.f64 (cos.f64 a) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (+ (* (neg (sin b)) a) (cos b)) (fma.f64 (neg.f64 a) b #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 a) (*.f64 b r))))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (*.f64 #s(literal -1/2 binary64) b) b #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/6 binary64) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cos.f64 a) r) b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) (cos.f64 b)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
(/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
Calls

1 calls:

7.0ms
b
Results
AccuracySegmentsBranch
52.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
(/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
52.0%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes32.0ms (0.3%)

Memory
-5.4MiB live, 33.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
Calls

4 calls:

19.0ms
a
4.0ms
b
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
r
Results
AccuracySegmentsBranch
48.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
48.0%1r
48.0%1a
48.0%1b
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes74.0ms (0.7%)

Memory
-8.2MiB live, 29.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 a)) b))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
Calls

4 calls:

62.0ms
b
4.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
4.0ms
a
4.0ms
r
Results
AccuracySegmentsBranch
48.0%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
48.0%1b
48.0%1r
48.0%1a
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes14.0ms (0.1%)

Memory
26.5MiB live, 26.4MiB allocated
Accuracy

Total -17.9b remaining (-41.6%)

Threshold costs -17.9b (-41.6%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (*.f64 (*.f64 a a) r) #s(literal 1/2 binary64) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) #s(approx (+ (* (* (* a a) r) 1/2) r) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) r (/.f64 r (*.f64 a a))) a) a))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 #s(approx (/ r (cos a)) (fma.f64 (fma.f64 (*.f64 r #s(literal 5/24 binary64)) (*.f64 a a) (*.f64 #s(literal 1/2 binary64) r)) (*.f64 a a) r)) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r #s(approx (cos a) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 a a) #s(literal 1/24 binary64)) (*.f64 a a) #s(literal -1/2 binary64)) (*.f64 a a) #s(literal 1 binary64)))) b))
(/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 b b) #s(literal 1 binary64)) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 #s(approx (* r (sin b)) (*.f64 (fma.f64 (*.f64 r (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64))) (*.f64 b b) r) b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) (fma.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 b b) #s(literal -1/2 binary64)) (*.f64 b b) #s(literal 1 binary64)))))
Outputs
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Calls

4 calls:

3.0ms
r
3.0ms
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
32.8%1(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
32.8%1b
32.8%1a
32.8%1r
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch158.0ms (1.4%)

Memory
-11.1MiB live, 73.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
2.0815733783600737e-10
0.12654797689477282
86.0ms
-7590414.994628409
-23.243639287761358
Samples
74.0ms147×0valid
70.0ms141×1valid
Compiler

Compiled 561 to 473 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-sin: 68.0ms (50.5% of total)
adjust: 52.0ms (38.6% of total)
ival-cos: 8.0ms (5.9% of total)
ival-add: 2.0ms (1.5% of total)
ival-div: 2.0ms (1.5% of total)
ival-mult: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.0815733783600737e-10
0.12654797689477282
1.0ms
-7590414.994628409
-23.243639287761358
Compiler

Compiled 606 to 500 computations (17.5% saved)

bsearch95.0ms (0.9%)

Memory
-16.9MiB live, 97.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
0.26017675060636924
181.28335155357084
67.0ms
-23.243639287761358
-4.572560940881424e-11
Samples
63.0ms147×1valid
14.0ms141×0valid
Compiler

Compiled 858 to 662 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
adjust: 24.0ms (35.6% of total)
ival-add: 21.0ms (31.1% of total)
ival-sin: 9.0ms (13.3% of total)
ival-cos: 9.0ms (13.3% of total)
ival-div: 2.0ms (3% of total)
ival-mult: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.26017675060636924
181.28335155357084
1.0ms
-23.243639287761358
-4.572560940881424e-11
Compiler

Compiled 642 to 536 computations (16.5% saved)

bsearch26.0ms (0.2%)

Memory
-10.6MiB live, 36.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.26017675060636924
181.28335155357084
11.0ms
-23.243639287761358
-4.572560940881424e-11
Samples
9.0ms58×1valid
7.0ms70×0valid
Compiler

Compiled 696 to 572 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 4.0ms (32.1% of total)
ival-cos: 4.0ms (32.1% of total)
ival-add: 1.0ms (8% of total)
ival-div: 1.0ms (8% of total)
adjust: 1.0ms (8% of total)
ival-mult: 1.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify73.0ms (0.7%)

Memory
20.9MiB live, 59.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088360
1127357
2160357
3189357
4216357
5283357
6998357
72413357
84642357
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -47/2 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -47/2 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (<=.f64 b #s(literal -11 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))
Outputs
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (sin.f64 b) (neg.f64 (sin.f64 a)) (*.f64 (cos.f64 b) (cos.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (fma.f64 (cos.f64 b) (cos.f64 a) (*.f64 (neg.f64 (sin.f64 b)) (sin.f64 a))))
(/.f64 (*.f64 r (sin.f64 b)) (-.f64 (*.f64 (cos.f64 b) (cos.f64 a)) (*.f64 (sin.f64 a) (sin.f64 b))))
(/.f64 (*.f64 r (sin.f64 b)) (cos.f64 (+.f64 a b)))
(*.f64 (/.f64 r (cos.f64 (+.f64 a b))) (sin.f64 b))
(if (<=.f64 b #s(literal -47/2 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (cos (+ a b)) (cos.f64 b)))))
(if (<=.f64 b #s(literal -47/2 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) (if (<=.f64 b #s(literal 2597301565578305/590295810358705651712 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b)))))
(if (or (<=.f64 b #s(literal -47/2 binary64)) (not (<=.f64 b #s(literal 2597301565578305/590295810358705651712 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 r (cos.f64 b)) (sin.f64 b))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))))
(if (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (not (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 (*.f64 r (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 b b) #s(literal -1/6 binary64)) (*.f64 b b) #s(literal 1 binary64))) b)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -4278419646001971/281474976710656 binary64)) (not (<=.f64 b #s(literal 6980579422424269/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (/.f64 #s(approx (* r (sin b)) (*.f64 b r)) (cos.f64 (+.f64 a b))))
(if (<=.f64 b #s(literal -11 binary64)) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) (if (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64))))))
(if (or (<=.f64 b #s(literal -11 binary64)) (not (<=.f64 b #s(literal 3602879701896397/2251799813685248 binary64)))) (/.f64 (*.f64 r (sin.f64 b)) #s(approx (+ (* (sin b) (neg (sin a))) (* (cos b) (cos a))) #s(approx (cos b) #s(literal 1 binary64)))) #s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a))))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (/.f64 (*.f64 b r) (cos.f64 a)))
#s(approx (/ (* r (sin b)) (cos (+ a b))) (*.f64 (/.f64 b (cos.f64 a)) r))
#s(approx (/ (* r (sin b)) (cos (+ a b))) #s(approx (* (/ r (cos a)) b) (*.f64 b r)))

soundness1.3s (11.7%)

Memory
-4.8MiB live, 791.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041187
073189
1254121
21601121
08255121
0167593
1517561
21610519
35575500
08699472
0819
01319
14419
223419
3206219
0850719
06162153
119571899
269961831
088521740
06272375
119682197
268432127
087492007
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 751 to 389 computations (48.2% saved)

preprocess164.0ms (1.5%)

Memory
-9.8MiB live, 108.0MiB allocated
Remove

(negabs r)

Compiler

Compiled 802 to 244 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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