Migdal et al, Equation (64)

Time bar (total: 11.2s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 14 computations (33.3% saved)

sample1.2s (10.7%)

Memory
102.1MiB live, 2 233.2MiB allocated
Samples
868.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 628.0ms
ival-mult: 237.0ms (37.7% of total)
ival-cos: 222.0ms (35.3% of total)
ival-div: 58.0ms (9.2% of total)
ival-sqrt: 58.0ms (9.2% of total)
ival-add: 39.0ms (6.2% of total)
ival-true: 6.0ms (1% of total)
exact: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess132.0ms (1.2%)

Memory
4.2MiB live, 43.4MiB allocated
Algorithm
1×egg-herbie
Rules
1 520×times-frac
1 254×distribute-lft-in
1 236×distribute-rgt-in
946×div-sub
714×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040120
1130120
2373120
31018120
42414120
54784120
65686120
76500120
86573120
96589120
106760120
116878120
126890120
136890120
146890120
01213
12513
25013
38013
49213
09212
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
Outputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

explain204.0ms (1.8%)

Memory
-60.1MiB live, 291.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-a1
00-0-(*.f64 a1 a1)
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-th
00-0-#s(literal 2 binary64)
00-0-(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
00-0-(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
00-0-(*.f64 a2 a2)
00-0-(cos.f64 th)
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
93.0ms512×0valid
Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 51.0ms (70.5% of total)
ival-cos: 11.0ms (15.2% of total)
ival-sqrt: 4.0ms (5.5% of total)
ival-div: 3.0ms (4.1% of total)
ival-add: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify39.0ms (0.3%)

Memory
-30.8MiB live, 6.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f64 th)
✓cost-diff0
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
✓cost-diff8192
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Rules
100×*-lowering-*.f32
100×*-lowering-*.f64
60×accelerator-lowering-fma.f32
60×accelerator-lowering-fma.f64
48×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01250
12550
25050
38050
49250
09249
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(* a1 a1)
a1
(* (/ (cos th) (sqrt 2)) (* a2 a2))
(* a2 a2)
a2
Outputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
th
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* a1 a1)
(*.f64 a1 a1)
a1
(* (/ (cos th) (sqrt 2)) (* a2 a2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* a2 a2)
(*.f64 a2 a2)
a2

localize46.0ms (0.4%)

Memory
17.8MiB live, 55.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
✓accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
✓accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-cos: 13.0ms (54.6% of total)
ival-mult: 5.0ms (21% of total)
ival-div: 2.0ms (8.4% of total)
ival-sqrt: 2.0ms (8.4% of total)
ival-add: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-11.8MiB live, 29.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#<alt (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))>
#<alt (* (/ (cos th) (sqrt 2)) (* a1 a1))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (cos th)>
#<alt (* (/ (cos th) (sqrt 2)) (* a2 a2))>
Outputs
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* -1/2 (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* 1/24 (/ (pow a1 2) (sqrt 2))) (+ (* 1/24 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (pow a1 2) (sqrt 2))) (* -1/720 (/ (pow a2 2) (sqrt 2))))))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))))) (/ (pow a1 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a1 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a1 2) (sqrt 2))))))) (/ (pow a1 2) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/720 (/ (pow th 2) (sqrt 2))) (* 1/24 (/ 1 (sqrt 2))))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* 1/24 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (* 1/24 (/ (pow a2 2) (sqrt 2))))))) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
Calls

27 calls:

TimeVariablePointExpression
3.0ms
a1
@0
(* (/ (cos th) (sqrt 2)) (* a1 a1))
2.0ms
th
@inf
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms
th
@-inf
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms
th
@-inf
(/ (cos th) (sqrt 2))
1.0ms
a1
@0
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite294.0ms (2.6%)

Memory
5.6MiB live, 480.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 176×accelerator-lowering-fma.f32
6 176×accelerator-lowering-fma.f64
4 662×*-lowering-*.f32
4 662×*-lowering-*.f64
2 804×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
15038
240338
3732138
0842437
Stop Event
1×iter limit
1×node limit
Counts
5 → 327
Calls
Call 1
Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(* (/ (cos th) (sqrt 2)) (* a1 a1))
(/ (cos th) (sqrt 2))
(cos th)
(* (/ (cos th) (sqrt 2)) (* a2 a2))
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

simplify83.0ms (0.7%)

Memory
2.0MiB live, 159.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072710070
172810070
072810070
Stop Event
1×saturated
1×saturated
Counts
327 → 327
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (/.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))) (fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th)))) #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) th))))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 th))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1 binary64)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2)
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 (*.f64 a2 a2))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal -1 binary64)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

eval104.0ms (0.9%)

Memory
28.4MiB live, 140.8MiB allocated
Compiler

Compiled 24 049 to 928 computations (96.1% saved)

prune65.0ms (0.6%)

Memory
-22.6MiB live, 134.2MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New70115716
Fresh000
Picked101
Done000
Total70215717
Accuracy
100.0%
Counts
717 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
99.6%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
▶99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
▶99.7%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
14.5%
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
▶14.6%
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
21.3%
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
21.3%
(/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
99.7%
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
99.6%
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) #s(literal 1/2 binary64))
99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶99.7%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
Compiler

Compiled 714 to 392 computations (45.1% saved)

simplify249.0ms (2.2%)

Memory
4.8MiB live, 443.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1088
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓cost-diff0
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff384
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
Rules
8 574×accelerator-lowering-fma.f32
8 574×accelerator-lowering-fma.f64
3 698×*-lowering-*.f32
3 698×*-lowering-*.f64
1 660×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032322
195284
2245284
3640284
41954284
55020284
67852284
08157270
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
(cos th)
th
(* (/ 1 (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(/ 1 (sqrt 2))
1
(sqrt 2)
2
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
th
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
(/ 1 (cos th))
1
(cos th)
th
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(* a1 a1)
a1
(* a1 (* a1 (* a1 a1)))
(* a1 (* a1 a1))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(* a2 a2)
a2
(* a2 (* a2 (* a2 a2)))
(* a2 (* a2 a2))
(cos th)
th
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
(sqrt 2)
2
Outputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(* (/ 1 (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(cos th)
(cos.f64 th)
th
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (cos th))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
1
#s(literal 1 binary64)
(cos th)
(cos.f64 th)
th
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(fma.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(* a1 a1)
(*.f64 a1 a1)
a1
(* a1 (* a1 (* a1 a1)))
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* a1 (* a1 a1))
(*.f64 a1 (*.f64 a1 a1))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))
(* a2 a2)
(*.f64 a2 a2)
a2
(* a2 (* a2 (* a2 a2)))
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* a2 (* a2 a2))
(*.f64 a2 (*.f64 a2 a2))
(cos th)
(cos.f64 th)
th
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
(- (* a2 a2) (* a1 a1))
(*.f64 (+.f64 a1 a2) (-.f64 a2 a1))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize128.0ms (1.1%)

Memory
4.8MiB live, 245.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 a1 (*.f64 a1 a1))
✓accuracy99.9%
(*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.1%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy23.1%
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.9%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 th))
✓accuracy99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.9%
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.9%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓accuracy99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓accuracy99.7%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
Samples
67.0ms256×0valid
Compiler

Compiled 353 to 34 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 19.0ms (43.7% of total)
ival-div: 12.0ms (27.6% of total)
ival-cos: 6.0ms (13.8% of total)
ival-add: 3.0ms (6.9% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
17.7MiB live, 55.9MiB allocated
Counts
19 → 432
Calls
Call 1
Inputs
#<alt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a2 a2)>
#<alt (/ (sqrt 2) (cos th))>
#<alt (* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (* (/ 1 (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))))>
#<alt (/ 1 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* (cos th) (+ (* a1 a1) (* a2 a2)))>
#<alt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))>
#<alt (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))>
#<alt (cos th)>
#<alt (/ 1 (cos th))>
#<alt (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))>
#<alt (* a1 (* a1 a1))>
Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
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#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2))) (pow a1 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (* (pow a2 4) (cos th)) (sqrt 2))) (/ (* (pow a2 4) (cos th)) (sqrt 2)))) (pow a1 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))) (/ (* (pow a2 4) (cos th)) (* (pow a1 4) (sqrt 2)))))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (- (* -1 (* (pow a2 2) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (+ (* (pow a2 2) (- (* (pow a2 2) (- (* (pow a2 2) (- (/ (cos th) (* (pow a1 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a1 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a1 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a1 2) (sqrt 2)))) (/ (cos th) (* (pow a1 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a1 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2))) (pow a2 4))) (/ (cos th) (sqrt 2))) (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (* (pow a1 4) (cos th)) (sqrt 2))) (/ (* (pow a1 4) (cos th)) (sqrt 2)))) (pow a2 6))) (/ (cos th) (sqrt 2))) (+ (* -1 (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))) (/ (* (pow a1 4) (cos th)) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (* (pow a2 6) (cos th))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (* (pow a1 6) (cos th))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (cos th))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (cos th))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (* (pow a2 6) (cos th))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (cos th))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (pow a2 6)>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (pow a1 6)>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (pow a1 6)>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))>
#<alt (pow a1 6)>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt (pow a2 6)>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt (* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
#<alt (pow a1 3)>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
th
@inf
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
4.0ms
a1
@0
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
1.0ms
th
@0
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
1.0ms
a2
@inf
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
1.0ms
a1
@inf
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))

rewrite500.0ms (4.5%)

Memory
26.4MiB live, 930.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 560×accelerator-lowering-fma.f32
6 560×accelerator-lowering-fma.f64
4 692×*-lowering-*.f32
4 692×*-lowering-*.f64
3 876×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
1186154
21404154
08342146
Stop Event
1×iter limit
1×node limit
Counts
19 → 1 794
Calls
Call 1
Inputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (cos th)))
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
(/ (sqrt 2) (cos th))
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(* (/ 1 (sqrt 2)) (* (cos th) (+ (* a1 a1) (* a2 a2))))
(/ 1 (sqrt 2))
(sqrt 2)
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(- (* a2 a2) (* a1 a1))
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(cos th)
(/ 1 (cos th))
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(* a1 (* a1 a1))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 3/2 binary64)))
(pow.f64 a1 #s(literal 3 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 3 binary64))
(*.f64 a1 (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) a1)
(*.f64 (pow.f64 a1 #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)) (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)))

simplify905.0ms (8.1%)

Memory
-204.1MiB live, 1 248.2MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177983963
1178083963
0178083963
Stop Event
1×saturated
1×saturated
Counts
1 794 → 1 794
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 3/2 binary64)))
(pow.f64 a1 #s(literal 3 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 3 binary64))
(*.f64 a1 (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) a1)
(*.f64 (pow.f64 a1 #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)) (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))
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(/.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))) (neg.f64 (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))
(*.f64 (neg.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)))) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (neg.f64 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (neg.f64 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) #s(literal 3/2 binary64)))
(pow.f64 a1 #s(literal 3 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 a1 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 3 binary64))
(*.f64 a1 (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) a1)
(*.f64 (pow.f64 a1 #s(literal 3/2 binary64)) (pow.f64 a1 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)) (pow.f64 (*.f64 a1 a1) #s(literal 3/4 binary64)))

eval641.0ms (5.7%)

Memory
38.3MiB live, 1 132.5MiB allocated
Compiler

Compiled 245 781 to 3 702 computations (98.5% saved)

prune247.0ms (2.2%)

Memory
19.6MiB live, 542.4MiB allocated
Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New4 75994 768
Fresh7310
Picked145
Done000
Total4 767164 783
Accuracy
100.0%
Counts
4 783 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
▶99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓99.7%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
▶99.2%
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.7%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶99.2%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓99.7%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
21.3%
(*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
21.2%
(*.f64 (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (cos.f64 th))
▶21.0%
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
21.0%
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 614 to 366 computations (40.4% saved)

simplify204.0ms (1.8%)

Memory
-17.4MiB live, 295.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
✓cost-diff2368
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(cos.f64 th)
✓cost-diff0
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1088
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓cost-diff0
(cos.f64 th)
✓cost-diff384
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓cost-diff0
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff384
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
Rules
3 956×/-lowering-/.f32
3 956×/-lowering-/.f64
3 954×*-lowering-*.f32
3 954×*-lowering-*.f64
2 874×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028276
166274
2240258
31670258
43157258
55404258
08399244
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (/ 1 (/ 1 (cos th)))))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ (sqrt 2) (/ 1 (/ 1 (cos th))))
(sqrt 2)
2
(/ 1 (/ 1 (cos th)))
1
(/ 1 (cos th))
(cos th)
th
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(cos th)
th
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(sqrt 2)
2
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ (/ (cos th) (sqrt 2)) (/ 1 (+ (* a1 a1) (* a2 a2))))
(/ (cos th) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(/ 1 (+ (* a1 a1) (* a2 a2)))
1
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(* (* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))) (cos th))
(* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2))))
(* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2)))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(* (+ a1 a2) (- a1 a2))
(+ a1 a2)
(- a1 a2)
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
1
(* (* (+ a1 a2) (- a1 a2)) (sqrt 2))
(sqrt 2)
2
(cos th)
th
Outputs
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (/ 1 (/ 1 (cos th)))))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ (sqrt 2) (/ 1 (/ 1 (cos th))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (/ 1 (cos th)))
(cos.f64 th)
1
#s(literal 1 binary64)
(/ 1 (cos th))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
(cos th)
(cos.f64 th)
th
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
th
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
th
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ (/ (cos th) (sqrt 2)) (/ 1 (+ (* a1 a1) (* a2 a2))))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos th)
(cos.f64 th)
th
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ (* a1 a1) (* a2 a2)))
(/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))
1
#s(literal 1 binary64)
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(* (* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))) (cos th))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(* (+ a1 a2) (- a1 a2))
(*.f64 (+.f64 a1 a2) (-.f64 a1 a2))
(+ a1 a2)
(+.f64 a1 a2)
(- a1 a2)
(-.f64 a1 a2)
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
1
#s(literal 1 binary64)
(* (* (+ a1 a2) (- a1 a2)) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th

localize140.0ms (1.3%)

Memory
1.4MiB live, 196.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
✓accuracy99.6%
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy32.9%
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.2%
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.3%
(/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓accuracy98.1%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 th))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓accuracy99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
✓accuracy99.7%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
Samples
68.0ms256×0valid
Compiler

Compiled 296 to 30 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 18.0ms (40.7% of total)
ival-div: 14.0ms (31.7% of total)
ival-cos: 5.0ms (11.3% of total)
ival-add: 2.0ms (4.5% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
7.6MiB live, 44.4MiB allocated
Counts
19 → 420
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (cos th)))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (/ 1 (/ 1 (cos th)))))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a2 a2)>
#<alt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))>
#<alt (cos th)>
#<alt (/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))>
#<alt (sqrt 2)>
#<alt (/ (/ (cos th) (sqrt 2)) (/ 1 (+ (* a1 a1) (* a2 a2))))>
#<alt (* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2))))>
#<alt (* (* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))) (cos th))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2)))>
#<alt (/ (sqrt 2) (/ 1 (/ 1 (cos th))))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (+ (* a1 a1) (* a2 a2)))>
#<alt (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))>
#<alt (* (* (+ a1 a2) (- a1 a2)) (sqrt 2))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (pow a2 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
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#<alt (+ (* a2 (+ (* -1 (pow a1 3)) (+ (* a2 (+ (* -1 (pow a1 2)) (pow a1 2))) (pow a1 3)))) (pow a1 4))>
#<alt (+ (* a2 (+ (* -1 (pow a1 3)) (+ (* a2 (+ (* -1 (pow a1 2)) (+ (* a2 (+ a1 (* -1 a1))) (pow a1 2)))) (pow a1 3)))) (pow a1 4))>
#<alt (* -1 (pow a2 4))>
#<alt (* (pow a2 4) (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1))>
#<alt (* (pow a2 4) (- (+ (* -1 (/ a1 a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2))))) 1))>
#<alt (* (pow a2 4) (- (+ (* -1 (/ a1 a2)) (+ (* -1 (/ (pow a1 2) (pow a2 2))) (+ (* -1 (/ (pow a1 3) (pow a2 3))) (+ (/ a1 a2) (+ (/ (pow a1 2) (pow a2 2)) (/ (pow a1 3) (pow a2 3))))))) 1))>
#<alt (* -1 (pow a2 4))>
#<alt (* (pow a2 4) (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1))>
#<alt (* (pow a2 4) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (+ (* -1 (pow a1 2)) (pow a1 2)) a2)))) a2)) 1))>
#<alt (* (pow a2 4) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow a1 3)) (pow a1 3)) a2)) (+ (* -1 (pow a1 2)) (pow a1 2))) a2)))) a2)) 1))>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (pow a2 2))>
#<alt (+ (* -1 (/ (pow a1 2) (pow a2 4))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (/ (pow a1 2) (pow a2 6)) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (+ (* (pow a1 2) (- (* (pow a1 2) (+ (* -1 (/ (pow a1 2) (pow a2 8))) (/ 1 (pow a2 6)))) (/ 1 (pow a2 4)))) (/ 1 (pow a2 2)))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a2 6) (pow a1 6)))) (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ (- (+ 1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2))) (pow a1 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a2 6) (pow a1 6)))) (+ (* -1 (/ (pow a2 4) (pow a1 4))) (/ (pow a2 2) (pow a1 2)))) (pow a1 2))>
#<alt (/ 1 (pow a1 2))>
#<alt (+ (* -1 (/ (pow a2 2) (pow a1 4))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (- (/ (pow a2 2) (pow a1 6)) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))>
#<alt (+ (* (pow a2 2) (- (* (pow a2 2) (+ (* -1 (/ (pow a2 2) (pow a1 8))) (/ 1 (pow a1 6)))) (/ 1 (pow a1 4)))) (/ 1 (pow a1 2)))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))) (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ 1 (pow a2 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))) (pow a2 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a1 6) (pow a2 6)))) (+ (* -1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2)))) (pow a2 2))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (- (* -1 (/ (pow a1 2) (* (pow a2 4) (sqrt 2)))) (/ 1 (* (pow a2 2) (sqrt 2))))>
#<alt (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (* (pow a2 6) (sqrt 2)))) (/ 1 (* (pow a2 4) (sqrt 2))))) (/ 1 (* (pow a2 2) (sqrt 2))))>
#<alt (- (* (pow a1 2) (- (* (pow a1 2) (- (* -1 (/ (pow a1 2) (* (pow a2 8) (sqrt 2)))) (/ 1 (* (pow a2 6) (sqrt 2))))) (/ 1 (* (pow a2 4) (sqrt 2))))) (/ 1 (* (pow a2 2) (sqrt 2))))>
#<alt (/ 1 (* (pow a1 2) (sqrt 2)))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) a1)) (/ 1 (sqrt 2))) (pow a1 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))) (pow a1 2))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))) (pow a1 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (* -1 (/ (pow a2 2) (sqrt 2)))))) (* (pow a2 2) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (pow a1 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ a2 (* a1 (sqrt 2)))) (+ (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (/ a2 (* a1 (sqrt 2))))))) (pow a1 2))>
#<alt (/ 1 (* (pow a1 2) (sqrt 2)))>
#<alt (/ (+ (* -1 (/ (+ a2 (* -1 a2)) (* a1 (sqrt 2)))) (/ 1 (sqrt 2))) (pow a1 2))>
#<alt (/ (+ (* -1 (/ (- (+ (* -1 (/ (pow a2 2) (* a1 (sqrt 2)))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (* a1 (sqrt 2))))) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2)))) a1)) (/ 1 (sqrt 2))) (pow a1 2))>
#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow a2 2) (+ a2 (* -1 a2))) (* a1 (sqrt 2)))) (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ (pow a2 2) (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (sqrt 2))))) a1)) (+ (* -1 (/ (pow a2 2) (sqrt 2))) (* -1 (/ (pow (+ a2 (* -1 a2)) 2) (sqrt 2))))) a1)) (* -1 (/ (+ a2 (* -1 a2)) (sqrt 2)))) a1)) (/ 1 (sqrt 2))) (pow a1 2))>
#<alt (/ 1 (* (pow a1 2) (sqrt 2)))>
#<alt (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ (pow a2 2) (* (pow a1 4) (sqrt 2))))>
#<alt (+ (* (pow a2 2) (+ (/ 1 (* (pow a1 4) (sqrt 2))) (/ (pow a2 2) (* (pow a1 6) (sqrt 2))))) (/ 1 (* (pow a1 2) (sqrt 2))))>
#<alt (+ (* (pow a2 2) (+ (* (pow a2 2) (+ (/ 1 (* (pow a1 6) (sqrt 2))) (/ (pow a2 2) (* (pow a1 8) (sqrt 2))))) (/ 1 (* (pow a1 4) (sqrt 2))))) (/ 1 (* (pow a1 2) (sqrt 2))))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ (- (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) a2)) (/ 1 (sqrt 2))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))) (pow a2 2))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (/ a1 (* a2 (sqrt 2)))))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (pow a2 3))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ a1 (* a2 (sqrt 2))) (+ (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a2 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))))) (pow a2 2))>
#<alt (/ -1 (* (pow a2 2) (sqrt 2)))>
#<alt (/ (- (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (/ a1 (* a2 (sqrt 2)))) (/ 1 (sqrt 2))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2) (/ (pow a1 2) (* a2 (sqrt 2)))) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))) (pow a2 2))>
#<alt (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ a1 (* -1 a1)) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) a2) (/ (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2)) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) a2)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))) (pow a2 2))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (* (sqrt 2) (+ a2 (* -1 a2)))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (+ (* -1 (* (pow a2 2) (sqrt 2))) (* a1 (+ (* a1 (sqrt 2)) (* (sqrt 2) (+ a2 (* -1 a2))))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (sqrt 2) (/ (* (sqrt 2) (+ a2 (* -1 a2))) a1)))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a2 (* -1 a2)))) (/ (* (pow a2 2) (sqrt 2)) a1)) a1))))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* a2 (* (sqrt 2) (+ a1 (* -1 a1)))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* a2 (+ (* -1 (* a2 (sqrt 2))) (* (sqrt 2) (+ a1 (* -1 a1))))) (* (pow a1 2) (sqrt 2)))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (+ (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2) (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* -1 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>
#<alt (* (pow a2 2) (+ (* -1 (sqrt 2)) (* -1 (/ (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) a2)) (* (sqrt 2) (+ a1 (* -1 a1)))) a2))))>
Calls

105 calls:

TimeVariablePointExpression
6.0ms
a1
@-inf
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
1.0ms
a2
@0
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
1.0ms
a2
@inf
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
1.0ms
a1
@inf
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
1.0ms
a1
@0
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))

rewrite392.0ms (3.5%)

Memory
25.1MiB live, 700.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 826×*-lowering-*.f32
5 826×*-lowering-*.f64
4 254×accelerator-lowering-fma.f32
4 254×accelerator-lowering-fma.f64
2 778×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028177
1159152
21305152
08213143
Stop Event
1×iter limit
1×node limit
Counts
19 → 2 025
Calls
Call 1
Inputs
(/ 1 (/ 1 (cos th)))
(/ (+ (* a1 a1) (* a2 a2)) (/ (sqrt 2) (/ 1 (/ 1 (cos th)))))
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
(/ (cos th) (sqrt 2))
(/ (cos th) (/ (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(cos th)
(/ (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(sqrt 2)
(/ (/ (cos th) (sqrt 2)) (/ 1 (+ (* a1 a1) (* a2 a2))))
(* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2))))
(* (* (* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2))) (/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))) (cos th))
(* (+ (* a1 a1) (* a2 a2)) (* (+ a1 a2) (- a1 a2)))
(/ (sqrt 2) (/ 1 (/ 1 (cos th))))
(/ 1 (cos th))
(/ 1 (+ (* a1 a1) (* a2 a2)))
(/ 1 (* (* (+ a1 a2) (- a1 a2)) (sqrt 2)))
(* (* (+ a1 a2) (- a1 a2)) (sqrt 2))
Outputs
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal 1 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (cos.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (cos.f64 th) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (neg.f64 (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) a1))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (*.f64 (+.f64 a1 a2) a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
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(fma.f64 (*.f64 (-.f64 a1 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 a1 a2) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a2 (+.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) a1 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (neg.f64 a2)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (neg.f64 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) a1))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(/.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (-.f64 a1 a2))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (neg.f64 (-.f64 a1 a2)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
(*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 a1 a2) (*.f64 (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2))
(*.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(*.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2))) (*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))

simplify631.0ms (5.6%)

Memory
-24.1MiB live, 786.8MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0193558338
1193658338
0193658338
Stop Event
1×saturated
1×saturated
Counts
2 025 → 2 025
Calls
Call 1
Inputs
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal 1 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (cos.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (cos.f64 th) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (neg.f64 (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) a1))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (*.f64 (+.f64 a1 a2) a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 a1 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (neg.f64 a2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) a1)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (*.f64 (+.f64 a1 a2) a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
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(/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(/.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (-.f64 a1 a2))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (neg.f64 (-.f64 a1 a2)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
(*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 a1 a2) (*.f64 (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2))
(*.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(*.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2))) (*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) #s(literal 1 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (cos.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (cos.f64 th) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (cos.f64 th))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (cos.f64 th)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 th) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a1 a1))) (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (neg.f64 (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) a1))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (*.f64 (+.f64 a1 a2) a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 a1 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))) (*.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (neg.f64 a2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (neg.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a2 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) a1)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (*.f64 (+.f64 a1 a2) a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(+.f64 (*.f64 (*.f64 a1 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (*.f64 (*.f64 (neg.f64 a2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2))) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th))) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th))))
(-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (cos.f64 th)))) (*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
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(+.f64 (*.f64 (*.f64 (-.f64 a1 a2) a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 a1 a2) a1) (sqrt.f64 #s(literal 2 binary64))))
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(+.f64 (*.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(+.f64 (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (*.f64 (neg.f64 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))))
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(fma.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (*.f64 (neg.f64 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a2 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (+.f64 a1 a2) a2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) a2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) a1)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (+.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 (+.f64 a1 a2)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (-.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (-.f64 a1 a2))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (-.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (-.f64 a1 a2))))
(fma.f64 (neg.f64 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) a1 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) a2))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) a2 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) a1))
(fma.f64 (*.f64 (+.f64 a1 a2) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (+.f64 a1 a2) a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 a1 a2) a1) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 a1 a2) a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (-.f64 a1 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 a1 a2) a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 a2 (+.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a1 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 a2 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) a1 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (neg.f64 a2)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (neg.f64 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) a1))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) #s(literal -1 binary64))
(/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(/.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (-.f64 a1 a2))
(/.f64 (neg.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (neg.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (neg.f64 (-.f64 a1 a2)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
(*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 a1 a2) (*.f64 (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) #s(literal -1 binary64))
(*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2))
(*.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2)))))
(*.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2))) (*.f64 (*.f64 (fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 a2)) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 (-.f64 a1 a2))) (*.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 a1 (neg.f64 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))

eval1.2s (10.3%)

Memory
49.1MiB live, 988.1MiB allocated
Compiler

Compiled 171 371 to 4 568 computations (97.3% saved)

prune412.0ms (3.7%)

Memory
4.2MiB live, 729.2MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New5 361115 372
Fresh527
Picked325
Done044
Total5 369195 388
Accuracy
100.0%
Counts
5 388 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓99.7%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
▶99.7%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓99.2%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.2%
(/.f64 (cos.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
✓99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶99.6%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
44.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (cos.f64 th))))
44.1%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))))
99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓99.7%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶99.6%
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
83.2%
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
21.0%
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
▶83.3%
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (cos.f64 th))
99.6%
(*.f64 (*.f64 (-.f64 a1 a2) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (cos.f64 th))
▶99.5%
(*.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (cos.f64 th))
Compiler

Compiled 714 to 430 computations (39.8% saved)

simplify217.0ms (1.9%)

Memory
21.5MiB live, 369.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (+.f64 a1 a2) (-.f64 a1 a2))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (cos.f64 th))
✓cost-diff704
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
✓cost-diff2048
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
✓cost-diff0
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (cos.f64 th))
✓cost-diff1728
(*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
✓cost-diff0
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
✓cost-diff0
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th))
✓cost-diff0
(-.f64 a1 a2)
✓cost-diff1024
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓cost-diff0
(*.f64 a2 a2)
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff0
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
Rules
6 018×*-lowering-*.f32
6 018×*-lowering-*.f64
3 172×/-lowering-/.f32
3 172×/-lowering-/.f64
2 216×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030351
183345
2329327
31731327
43512327
56155327
08496308
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (cos th))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(cos th)
th
(sqrt 2)
2
(* (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt 2) (cos th))))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(/ 1 (/ (sqrt 2) (cos th)))
1
(/ (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th
(* (- a1 a2) (* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th)))
(- a1 a2)
a1
a2
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
(* (sqrt 2) (- a1 a2))
(sqrt 2)
2
(cos th)
th
(* (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2))) (cos th))
(* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2)))
(/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (+ a1 a2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(+ a1 a2)
(sqrt 2)
2
(/ 1 (+ a1 a2))
1
(cos th)
th
(* (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))) (cos th))
(* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))))
(* (+ a1 a2) (- a1 a2))
(+ a1 a2)
a1
a2
(- a1 a2)
(* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))
(/ 1 (+ a1 a2))
1
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
(* (sqrt 2) (- a1 a2))
(sqrt 2)
2
(cos th)
th
Outputs
(/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (+ (* a1 a1) (* a2 a2)) (cos th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(cos th)
(cos.f64 th)
th
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt 2) (cos th))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(/ 1 (/ (sqrt 2) (cos th)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ (sqrt 2) (cos th))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(* (- a1 a2) (* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(- a1 a2)
(-.f64 a1 a2)
a1
a2
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* a2 a2)
(*.f64 a2 a2)
(* (sqrt 2) (- a1 a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(* (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2))) (cos th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (+ (* a1 a1) (* a2 a2)) (+ a1 a2))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
a1
(* a2 a2)
(*.f64 a2 a2)
a2
(+ a1 a2)
(+.f64 a1 a2)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ a1 a2))
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
1
#s(literal 1 binary64)
(cos th)
(cos.f64 th)
th
(* (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))) (cos th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (+ a1 a2) (- a1 a2))
(*.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(+ a1 a2)
(+.f64 a1 a2)
a1
a2
(- a1 a2)
(-.f64 a1 a2)
(* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)))
(/ 1 (+ a1 a2))
(/.f64 #s(literal 1 binary64) (+.f64 a1 a2))
1
#s(literal 1 binary64)
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* a2 a2)
(*.f64 a2 a2)
(* (sqrt 2) (- a1 a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th

localize163.0ms (1.5%)

Memory
-51.3MiB live, 319.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
✓accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
✓accuracy48.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
✓accuracy99.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2))
✓accuracy99.9%
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (cos.f64 th))
✓accuracy99.8%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy83.4%
(*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
✓accuracy99.8%
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
✓accuracy99.8%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
✓accuracy48.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
✓accuracy99.7%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓accuracy99.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
✓accuracy99.7%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
Samples
68.0ms256×0valid
Compiler

Compiled 380 to 32 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 22.0ms (50.8% of total)
ival-div: 10.0ms (23.1% of total)
ival-cos: 6.0ms (13.8% of total)
ival-add: 2.0ms (4.6% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-sub: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
13.8MiB live, 51.8MiB allocated
Counts
21 → 540
Calls
Call 1
Inputs
#<alt (/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (cos th))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* a2 a2)>
#<alt (/ 1 (/ (sqrt 2) (cos th)))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt 2) (cos th))))>
#<alt (* (- a1 a2) (* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th)))>
#<alt (- a1 a2)>
#<alt (* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))>
#<alt (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2)))>
#<alt (* (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2))) (cos th))>
#<alt (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2))>
#<alt (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))))>
#<alt (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))>
#<alt (* (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))) (cos th))>
#<alt (* (+ a1 a2) (- a1 a2))>
#<alt (cos th)>
#<alt (/ (sqrt 2) (cos th))>
#<alt (* (sqrt 2) (- a1 a2))>
Outputs
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
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#<alt (- (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) a2)) (/ 1 (sqrt 2)))>
#<alt (- (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ a1 (* a2 (sqrt 2))) (+ (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a2 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (- (* -1 (/ (pow a1 2) (sqrt 2))) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))))) (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (pow a2 3))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (/ 1 (sqrt 2)) (+ (/ a1 (* a2 (sqrt 2))) (+ (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a2 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))))>
#<alt (/ -1 (sqrt 2))>
#<alt (- (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (/ a1 (* a2 (sqrt 2)))) (/ 1 (sqrt 2)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow a1 2) (sqrt 2))) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) a2)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ a1 (* -1 a1)) (- (* -1 (/ (pow a1 2) (sqrt 2))) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))))) a2)) (+ (* -1 (/ (pow a1 2) (sqrt 2))) (/ (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2))) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) a2)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (* (pow a1 2) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))>
#<alt (* -1 (pow a2 2))>
#<alt (+ (* -1 (pow a2 2)) (* a1 (+ a2 (* -1 a2))))>
#<alt (+ (* -1 (pow a2 2)) (* a1 (+ a1 (+ a2 (* -1 a2)))))>
#<alt (+ (* -1 (pow a2 2)) (* a1 (+ a1 (+ a2 (* -1 a2)))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1 (/ a2 a1)) (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ a2 a1)))))>
#<alt (pow a1 2)>
#<alt (* (pow a1 2) (+ 1 (+ (* -1 (/ a2 a1)) (/ a2 a1))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (/ (pow a2 2) a1)) a1))))>
#<alt (* (pow a1 2) (+ 1 (* -1 (/ (+ (* -1 (+ a2 (* -1 a2))) (/ (pow a2 2) a1)) a1))))>
#<alt (pow a1 2)>
#<alt (+ (* a2 (+ a1 (* -1 a1))) (pow a1 2))>
#<alt (+ (* a2 (+ a1 (+ (* -1 a1) (* -1 a2)))) (pow a1 2))>
#<alt (+ (* a2 (+ a1 (+ (* -1 a1) (* -1 a2)))) (pow a1 2))>
#<alt (* -1 (pow a2 2))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ a1 a2)) (/ a1 a2)) 1))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2)))) 1))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ a1 a2)) (+ (/ a1 a2) (/ (pow a1 2) (pow a2 2)))) 1))>
#<alt (* -1 (pow a2 2))>
#<alt (* (pow a2 2) (- (* -1 (/ (+ a1 (* -1 a1)) a2)) 1))>
#<alt (* (pow a2 2) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (pow a1 2) a2)))) a2)) 1))>
#<alt (* (pow a2 2) (- (* -1 (/ (+ a1 (+ (* -1 a1) (* -1 (/ (pow a1 2) a2)))) a2)) 1))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))>
#<alt (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (cos th)>
#<alt (sqrt 2)>
#<alt (+ (sqrt 2) (* 1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (+ (sqrt 2) (* (pow th 2) (- (* (pow th 2) (- (* -1 (* (pow th 2) (+ (* -1/720 (sqrt 2)) (+ (* 1/48 (sqrt 2)) (* 1/2 (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2)))))))) (+ (* -1/4 (sqrt 2)) (* 1/24 (sqrt 2))))) (* -1/2 (sqrt 2)))))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (/ (sqrt 2) (cos th))>
#<alt (* -1 (* a2 (sqrt 2)))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (* a1 (sqrt 2))>
#<alt (* a1 (+ (sqrt 2) (* -1 (/ (* a2 (sqrt 2)) a1))))>
#<alt (* a1 (+ (sqrt 2) (* -1 (/ (* a2 (sqrt 2)) a1))))>
#<alt (* a1 (+ (sqrt 2) (* -1 (/ (* a2 (sqrt 2)) a1))))>
#<alt (* a1 (sqrt 2))>
#<alt (* -1 (* a1 (+ (* -1 (sqrt 2)) (/ (* a2 (sqrt 2)) a1))))>
#<alt (* -1 (* a1 (+ (* -1 (sqrt 2)) (/ (* a2 (sqrt 2)) a1))))>
#<alt (* -1 (* a1 (+ (* -1 (sqrt 2)) (/ (* a2 (sqrt 2)) a1))))>
#<alt (* a1 (sqrt 2))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (+ (* -1 (* a2 (sqrt 2))) (* a1 (sqrt 2)))>
#<alt (* -1 (* a2 (sqrt 2)))>
#<alt (* a2 (+ (* -1 (sqrt 2)) (/ (* a1 (sqrt 2)) a2)))>
#<alt (* a2 (+ (* -1 (sqrt 2)) (/ (* a1 (sqrt 2)) a2)))>
#<alt (* a2 (+ (* -1 (sqrt 2)) (/ (* a1 (sqrt 2)) a2)))>
#<alt (* -1 (* a2 (sqrt 2)))>
#<alt (* -1 (* a2 (+ (sqrt 2) (* -1 (/ (* a1 (sqrt 2)) a2)))))>
#<alt (* -1 (* a2 (+ (sqrt 2) (* -1 (/ (* a1 (sqrt 2)) a2)))))>
#<alt (* -1 (* a2 (+ (sqrt 2) (* -1 (/ (* a1 (sqrt 2)) a2)))))>
Calls

135 calls:

TimeVariablePointExpression
3.0ms
a2
@-inf
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
2.0ms
a2
@-inf
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))
1.0ms
a1
@-inf
(* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))
1.0ms
th
@inf
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))
1.0ms
th
@0
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))

rewrite455.0ms (4.1%)

Memory
9.2MiB live, 901.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 238×*-lowering-*.f32
5 238×*-lowering-*.f64
4 294×accelerator-lowering-fma.f32
4 294×accelerator-lowering-fma.f64
4 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030253
1158239
21475231
09199217
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 930
Calls
Call 1
Inputs
(/ (* (+ (* a1 a1) (* a2 a2)) (cos th)) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (cos th))
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
(/ 1 (/ (sqrt 2) (cos th)))
(* (+ (* a1 a1) (* a2 a2)) (/ 1 (/ (sqrt 2) (cos th))))
(* (- a1 a2) (* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th)))
(- a1 a2)
(* (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))
(* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2)))
(* (* (/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2)) (/ 1 (+ a1 a2))) (cos th))
(/ (* (+ (* a1 a1) (* a2 a2)) (+ a1 a2)) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (+ a1 a2))
(* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2)))))
(* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))
(* (* (* (+ a1 a2) (- a1 a2)) (* (/ 1 (+ a1 a2)) (/ (+ (* a1 a1) (* a2 a2)) (* (sqrt 2) (- a1 a2))))) (cos th))
(* (+ a1 a2) (- a1 a2))
(cos th)
(/ (sqrt 2) (cos th))
(* (sqrt 2) (- a1 a2))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
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(*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 a1 a2) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (fma.f64 a2 (-.f64 a2 a1) (*.f64 a1 a1)))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))))
(*.f64 (*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a1 a2) (fma.f64 a2 (-.f64 a2 a1) (*.f64 a1 a1)))))
(*.f64 (*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))))
(*.f64 (*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 a1 a2) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))))
(*.f64 (*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(*.f64 (*.f64 (-.f64 a1 a2) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a2 (-.f64 a2 a1) (*.f64 a1 a1)) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (fma.f64 a2 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (*.f64 a2 a2)))))))
(*.f64 (*.f64 (-.f64 a1 a2) (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2)))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (-.f64 a2 a1) (*.f64 a1 a1))))
(*.f64 (*.f64 (+.f64 a1 a2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(*.f64 (*.f64 (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (*.f64 (fma.f64 a1 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 a2))) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (-.f64 a2 a1) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th))) #s(literal -1 binary64)))
(cos.f64 th)
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th)))
(neg.f64 (neg.f64 (cos.f64 th)))
(/.f64 (cos.f64 th) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (cos.f64 th) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (cos.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(fma.f64 a1 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) a1 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(fma.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (-.f64 (neg.f64 a2) a1)) (-.f64 (neg.f64 a2) a1))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (+.f64 a1 a2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))) (-.f64 (neg.f64 a2) a1))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 a1 a2)))
(*.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))

simplify435.0ms (3.9%)

Memory
30.2MiB live, 979.1MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0270356515
1270456515
0270456515
Stop Event
1×saturated
1×saturated
Counts
1 930 → 1 930
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
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(fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 a1 a2)))
(*.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))) (/.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) a2) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) a1) (*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(neg.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(neg.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (+.f64 a1 a2))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a1 a2)) (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 a2 (*.f64 a1 a1))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (+.f64 a1 a2)) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 a1 a2))))
(neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))) (/.f64 (cos.f64 th) (+.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))) (/.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (/.f64 (cos.f64 th) (+.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))) (/.f64 (cos.f64 th) (+.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))))
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(*.f64 #s(literal 1 binary64) (cos.f64 th))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 th))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (cos.f64 th)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 th)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(+.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(fma.f64 a1 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) a1 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(fma.f64 (neg.f64 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a1 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (-.f64 (neg.f64 a2) a1)) (-.f64 (neg.f64 a2) a1))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (+.f64 a1 a2))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2)))) (-.f64 (neg.f64 a2) a1))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))
(*.f64 (-.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 a1 a2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)) (+.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (-.f64 a1 a2)))
(*.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2)))))

eval835.0ms (7.5%)

Memory
32.0MiB live, 1 709.1MiB allocated
Compiler

Compiled 215 075 to 7 611 computations (96.5% saved)

prune423.0ms (3.8%)

Memory
-9.9MiB live, 1 001.6MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New5 796105 806
Fresh538
Picked235
Done066
Total5 803225 825
Accuracy
100.0%
Counts
5 825 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
✓99.7%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
82.8%
(/.f64 (/.f64 (cos.f64 th) (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))))
99.6%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
✓99.7%
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
83.3%
(/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (+.f64 a1 a2))
✓99.2%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.2%
(/.f64 (cos.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (/.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (+.f64 a1 a2))))
✓99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
44.1%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))))
✓99.7%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
99.7%
(*.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.6%
(*.f64 (-.f64 a1 a2) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
27.2%
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))) (cos.f64 th)))
✓99.6%
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
44.9%
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))))) (cos.f64 th)))
99.6%
(*.f64 (-.f64 a1 a2) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (cos.f64 th)))
83.2%
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
99.6%
(*.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (-.f64 a1 a2)) (cos.f64 th))
Compiler

Compiled 1 479 to 453 computations (69.4% saved)

regimes186.0ms (1.7%)

Memory
6.3MiB live, 203.2MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(/.f64 (cos.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 a1 a2) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (cos.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (-.f64 a1 a2)) (cos.f64 th))
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
(*.f64 (-.f64 a1 a2) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))) (cos.f64 th)))
(*.f64 (-.f64 a1 a2) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2)))) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (/.f64 (+.f64 a1 a2) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (+.f64 a1 a2))))
(/.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (+.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (cos.f64 th))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 a1 a2))) (cos.f64 th))
(/.f64 (/.f64 (cos.f64 th) (+.f64 a1 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 a1 a2))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 th)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64)))) (cos.f64 th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (+.f64 a1 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(*.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 a1 a2))))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (+.f64 a1 a2))))) (cos.f64 th)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (-.f64 a1 a2)) (/.f64 #s(literal 1 binary64) (+.f64 a1 a2))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))) (cos.f64 th))
(*.f64 (-.f64 a1 a2) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 (+.f64 a1 a2))))) (cos.f64 th)))
(*.f64 (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))) (cos.f64 th))
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) (cos.f64 th))) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
Calls

8 calls:

46.0ms
a1
34.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
26.0ms
(*.f64 a2 a2)
24.0ms
(cos.f64 th)
20.0ms
a2
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes45.0ms (0.4%)

Memory
8.9MiB live, 47.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
Outputs
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
Calls

8 calls:

28.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
a1
2.0ms
a2
2.0ms
th
2.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes36.0ms (0.3%)

Memory
-8.1MiB live, 30.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

25.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
a1
1.0ms
a2
1.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes31.0ms (0.3%)

Memory
-12.7MiB live, 27.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
Outputs
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
Calls

8 calls:

22.0ms
a2
1.0ms
a1
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms
th
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01648
11948
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
Outputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))

soundness344.0ms (3.1%)

Memory
-82.6MiB live, 224.3MiB allocated
Rules
6 176×accelerator-lowering-fma.f32
6 176×accelerator-lowering-fma.f64
4 662×*-lowering-*.f32
4 662×*-lowering-*.f64
2 804×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
15038
240338
3732138
0842437
Stop Event
1×fuel
1×iter limit
1×node limit
Compiler

Compiled 111 to 56 computations (49.5% saved)

preprocess118.0ms (1.1%)

Memory
10.6MiB live, 166.3MiB allocated
Remove

(abs a2)

(abs th)

Compiler

Compiled 686 to 416 computations (39.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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