Migdal et al, Equation (64)

Time bar (total: 13.0s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample1.1s (8.5%)

Memory
-12.4MiB live, 1 589.4MiB allocated
Samples
854.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 609.0ms
ival-cos: 247.0ms (40.6% of total)
ival-mult: 190.0ms (31.2% of total)
ival-div: 65.0ms (10.7% of total)
ival-sqrt: 59.0ms (9.7% of total)
ival-add: 33.0ms (5.4% of total)
ival-true: 5.0ms (0.8% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess160.0ms (1.2%)

Memory
17.1MiB live, 55.9MiB allocated
Algorithm
2×egg-herbie
Rules
1 522×times-frac
1 460×unsub-neg
1 254×distribute-lft-in
1 236×distribute-rgt-in
930×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041133
1130133
2375133
31018133
42412133
54779133
65679133
76481133
86555133
96571133
106742133
116860133
126872133
136872133
146872133
157996133
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))))
Call 2
Inputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))
Outputs
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(neg (+ (* (/ (cos th) (sqrt 2)) (* (neg a1) (neg a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(neg (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* (neg a2) (neg a2)))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(neg (+ (* (/ (cos (neg th)) (sqrt 2)) (* a1 a1)) (* (/ (cos (neg th)) (sqrt 2)) (* a2 a2))))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (neg (sqrt 2)))
(+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))
(/ (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (/ (cos a1) (sqrt 2)) (* th th)) (* (/ (cos a1) (sqrt 2)) (* a2 a2)))
(* (cos a1) (/ (+ (* a2 a2) (* th th)) (sqrt 2)))
(+ (* (/ (cos a2) (sqrt 2)) (* a1 a1)) (* (/ (cos a2) (sqrt 2)) (* th th)))
(* (cos a2) (/ (+ (* a1 a1) (* th th)) (sqrt 2)))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain174.0ms (1.3%)

Memory
-33.1MiB live, 241.9MiB 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
62.0ms512×0valid
Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-cos: 11.0ms (35% of total)
ival-mult: 11.0ms (35% of total)
ival-sqrt: 4.0ms (12.7% of total)
ival-div: 3.0ms (9.5% of total)
ival-add: 2.0ms (6.4% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(+.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)

simplify6.0ms (0%)

Memory
8.4MiB live, 8.4MiB 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

localize40.0ms (0.3%)

Memory
-3.4MiB live, 73.3MiB 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))
✓accuracy99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
✓accuracy98.8%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Samples
26.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 5.0ms (30.6% of total)
ival-mult: 5.0ms (30.6% of total)
ival-sqrt: 3.0ms (18.3% of total)
ival-div: 2.0ms (12.2% of total)
ival-add: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
27.8MiB live, 27.8MiB 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
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)))
1.0ms
th
@0
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite431.0ms (3.3%)

Memory
1.4MiB live, 594.4MiB 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)))))
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(cos.f64 th)
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(*.f64 (/.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 th)))
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simplify800.0ms (6.1%)

Memory
10.3MiB live, 1 210.8MiB allocated
Algorithm
1×egg-herbie
Rules
34 694×accelerator-lowering-fma.f32
34 694×accelerator-lowering-fma.f64
6 426×*-lowering-*.f32
6 426×*-lowering-*.f64
4 620×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111498
13431366
212051262
338981233
084221172
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (* (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))))
(+ (* (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))))
(+ (* (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))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(+ (* (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)))
(+ (* (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)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (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)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a2 2) (sqrt 2))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(+ (* (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)))
(+ (* (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)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
Outputs
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (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))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* (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))))
(fma.f64 th (*.f64 th (*.f64 (*.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (*.f64 a2 a2) (*.f64 (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* (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)))
(fma.f64 (*.f64 th th) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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)))
(fma.f64 (*.f64 th th) (fma.f64 (/.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/ (cos th) (sqrt 2))
(/.f64 (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) (sqrt 2))
(/.f64 (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) (sqrt 2))
(/.f64 (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) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/ (cos th) (sqrt 2))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(cos th)
(cos.f64 th)
(/ (pow a2 2) (sqrt 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* (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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (fma.f64 th (*.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))

eval61.0ms (0.5%)

Memory
-34.9MiB live, 128.4MiB allocated
Compiler

Compiled 14 760 to 1 017 computations (93.1% saved)

prune74.0ms (0.6%)

Memory
14.3MiB live, 171.4MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New46921490
Fresh000
Picked101
Done000
Total47021491
Accuracy
100.0%
Counts
491 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
▶69.4%
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
99.5%
(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
▶16.0%
(/.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)))))
16.0%
(/.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))))
26.2%
(/.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 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
26.3%
(/.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)))
26.3%
(/.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))))
99.2%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
▶54.2%
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2))))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
▶99.7%
(*.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))
65.5%
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
66.0%
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
▶99.5%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
99.5%
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (cos.f64 th))))
Compiler

Compiled 1 024 to 572 computations (44.1% saved)

simplify317.0ms (2.4%)

Memory
-16.9MiB live, 465.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))
✓cost-diff192
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓cost-diff384
(/.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)))))
✓cost-diff0
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))
✓cost-diff0
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1408
(*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
✓cost-diff0
(cos.f64 th)
✓cost-diff0
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓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 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(cos.f64 th)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.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))
✓cost-diff7808
(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))))
Rules
9 082×accelerator-lowering-fma.f32
9 082×accelerator-lowering-fma.f64
3 814×*-lowering-*.f32
3 814×*-lowering-*.f64
2 676×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041345
1115303
2286303
3767303
42380297
54928297
67994297
08004286
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2)
(+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1))))
(sqrt 2)
2
(* (cos th) (* a2 a2))
(cos th)
th
(* a2 a2)
a2
(* (sqrt 2) (* (cos th) (* a1 a1)))
(* (cos th) (* a1 a1))
(* a1 a1)
a1
1/2
(+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2)))
a1
(/ a1 (sqrt 2))
(sqrt 2)
2
(/ (* a2 a2) (sqrt 2))
(* a2 a2)
a2
(* (+ (* 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
(/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2))
(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
(* a1 a1)
a1
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))
(+ (* a2 (/ a2 (* a1 a1))) 1)
a2
(/ a2 (* a1 a1))
1
(cos th)
th
(sqrt 2)
2
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2)))
(+ (* (* 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) (sqrt 2))
(cos th)
th
(sqrt 2)
2
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
Outputs
(* (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (cos th) (* a2 a2))
(fma.f64 (cos.f64 th) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))
(cos th)
(cos.f64 th)
th
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(* (sqrt 2) (* (cos th) (* a1 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 #s(literal 0 binary64))))
(* (cos th) (* a1 a1))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 #s(literal 0 binary64)))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
1/2
#s(literal 1/2 binary64)
(+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64))))
a1
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* a2 a2) (sqrt 2))
(/.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
a1
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
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)
(/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 1 binary64)))
(+ (* a2 (/ a2 (* a1 a1))) 1)
(fma.f64 a2 (/.f64 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 1 binary64))
a2
(/ a2 (* a1 a1))
(/.f64 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(cos th)
(cos.f64 th)
th
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (fma.f64 (-.f64 a2 a1) (fma.f64 a2 (+.f64 a2 a1) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(* a1 (* a1 (* a1 a1)))
(fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))
(* a1 (* a1 a1))
(*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64)))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(* a2 (* a2 (* a2 a2)))
(fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* a2 (* a2 a2))
(fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 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)
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 a2 (fma.f64 (-.f64 a2 a1) (fma.f64 a2 (+.f64 a2 a1) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64)))
(- (* a2 a2) (* a1 a1))
(fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))

localize144.0ms (1.1%)

Memory
17.2MiB live, 246.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓accuracy98.8%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.4%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy24.2%
(/.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)))))
✓accuracy99.6%
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy95.1%
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
✓accuracy85.5%
(/.f64 a2 (*.f64 a1 a1))
✓accuracy62.4%
(*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.7%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.8%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.3%
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 (cos.f64 th) (*.f64 a1 a1))
✓accuracy99.9%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
✓accuracy99.7%
(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))))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
Samples
78.0ms256×0valid
Compiler

Compiled 385 to 43 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 25.0ms (44.8% of total)
ival-div: 13.0ms (23.3% of total)
ival-add: 6.0ms (10.8% of total)
ival-cos: 5.0ms (9% of total)
ival-sub: 4.0ms (7.2% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (0.5%)

Memory
12.9MiB live, 124.4MiB allocated
Counts
23 → 576
Calls
Call 1
Inputs
#<alt (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1))))>
#<alt (* (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2)>
#<alt (sqrt 2)>
#<alt (cos th)>
#<alt (+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2)))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ (* a2 a2) (sqrt 2))>
#<alt (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (/ (cos th) (sqrt 2))>
#<alt (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))>
#<alt (/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2))>
#<alt (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))>
#<alt (+ (* a2 (/ a2 (* a1 a1))) 1)>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2)))>
#<alt (* (sqrt 2) (* (cos th) (* a1 a1)))>
#<alt (* (cos th) (* a2 a2))>
#<alt (* (cos th) (* a1 a1))>
#<alt (/ a2 (* a1 a1))>
#<alt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))>
Outputs
#<alt (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))>
#<alt (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (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))))))))))>
#<alt (+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (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)))))))))))))>
#<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 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) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (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) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))>
#<alt (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))>
#<alt (+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 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 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
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#<alt (/ (* (pow a2 2) (cos th)) (sqrt 2))>
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#<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))))))>
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#<alt (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
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#<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 (* -1 (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<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 (/ (* (pow a2 6) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a1 6) (cos th)) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (/ (* (pow a1 6) (cos th)) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))>
#<alt (/ (* (pow a1 6) (cos th)) (sqrt 2))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))>
#<alt (/ (* (pow a2 6) (cos th)) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (/ (* (pow a2 6) (cos th)) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))>
#<alt (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))>
#<alt (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))))))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))>
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#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))>
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#<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)))>
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#<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 a2 2)>
#<alt (+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (cos th))>
#<alt (pow a1 2)>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (/ a2 (pow a1 2))>
#<alt (pow a1 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
Calls

144 calls:

TimeVariablePointExpression
12.0ms
a1
@0
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2)))
3.0ms
a1
@inf
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
3.0ms
a2
@0
(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
3.0ms
th
@inf
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
1.0ms
th
@0
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))

rewrite581.0ms (4.4%)

Memory
-9.3MiB live, 971.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 296×accelerator-lowering-fma.f32
6 296×accelerator-lowering-fma.f64
5 358×*-lowering-*.f32
5 358×*-lowering-*.f64
5 104×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041241
1235215
21986207
09264201
Stop Event
1×iter limit
1×node limit
Counts
23 → 943
Calls
Call 1
Inputs
(+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1))))
(* (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2)
(sqrt 2)
(cos th)
(+ (* a1 (/ a1 (sqrt 2))) (/ (* a2 a2) (sqrt 2)))
(/ a1 (sqrt 2))
(/ (* a2 a2) (sqrt 2))
(* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2)))
(+ (* a1 a1) (* a2 a2))
(/ (cos th) (sqrt 2))
(* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th)))
(/ (* (* a1 a1) (* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))) (sqrt 2))
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (cos th))
(+ (* a2 (/ a2 (* a1 a1))) 1)
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(- (* a2 a2) (* a1 a1))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ (cos th) (sqrt 2)))
(* (sqrt 2) (* (cos th) (* a1 a1)))
(* (cos th) (* a2 a2))
(* (cos th) (* a1 a1))
(/ a2 (* a1 a1))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (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) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(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 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.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)))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) a2)) a2 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) a1)) a1 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a1) a1 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))) (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
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(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) #s(literal -1 binary64))
(*.f64 (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))

simplify615.0ms (4.7%)

Memory
16.1MiB live, 872.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 826×accelerator-lowering-fma.f32
12 826×accelerator-lowering-fma.f64
6 930×*-lowering-*.f32
6 930×*-lowering-*.f64
2 812×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04538383
115547944
259737627
083087254
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
Calls
Call 1
Inputs
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (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)) (* (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)) (* (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) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
1
(+ 1 (* -1/2 (pow th 2)))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(cos th)
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/ (pow a1 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (pow a2 2) (sqrt 2))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (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))))
(+ (* (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))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(pow a1 2)
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(pow a2 2)
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ 1 (sqrt 2))
(+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))
(+ (* (pow th 2) (- (* 1/24 (/ (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2))))) (/ 1 (sqrt 2)))
(+ (* (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)))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(/ (cos th) (sqrt 2))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(+ (* -1/2 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))) (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(+ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (* 1/24 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))))))
(+ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2)))))) (* 1/24 (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))
(+ (* -1/2 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow a1 2) (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))) (* 1/24 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))))))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2)))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(/ (* (pow a1 2) (* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))) (sqrt 2))
(cos th)
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(/ (* (pow a2 2) (cos th)) (pow a1 2))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (pow a1 2))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(* (pow a2 2) (+ (/ (cos th) (pow a1 2)) (/ (cos th) (pow a2 2))))
(/ (* (pow a2 2) (cos th)) (pow a1 2))
(/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (pow a1 2))
(/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (pow a1 2))
(/ (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))) (pow a1 2))
(cos th)
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(cos th)
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (+ (* -1/2 (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (/ (pow a2 2) (pow a1 2))))
(+ 1 (+ (* (pow th 2) (+ (* -1/2 (+ 1 (/ (pow a2 2) (pow a1 2)))) (* 1/24 (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))))) (/ (pow a2 2) (pow a1 2))))
(+ 1 (+ (* (pow th 2) (+ (* -1/2 (+ 1 (/ (pow a2 2) (pow a1 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ 1 (/ (pow a2 2) (pow a1 2))))) (* 1/24 (+ 1 (/ (pow a2 2) (pow a1 2)))))))) (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* (cos th) (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ (pow a2 2) (pow a1 2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* -1 (* (pow a1 2) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (pow a1 2) (- (* (pow a1 2) (- (* (pow a1 2) (- (/ (cos th) (* (pow a2 4) (sqrt 2))) (+ (* -1 (/ (cos th) (* (pow a2 4) (sqrt 2)))) (* 2 (/ (cos th) (* (pow a2 4) (sqrt 2))))))) (+ (* -1 (/ (cos th) (* (pow a2 2) (sqrt 2)))) (/ (cos th) (* (pow a2 2) (sqrt 2)))))) (* -1 (/ (cos th) (sqrt 2))))) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (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))))))
(* (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)))))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (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))))))
(* (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)))))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(+ (* (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)))
(+ (* (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)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (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))))))
(* (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)))))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (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))))))
(* (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)))))))
(/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(+ (* -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))))))
(+ (* (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))))))
(+ (* (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))))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(pow a2 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(/ (* (pow a2 6) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(/ (* (pow a1 6) (cos th)) (sqrt 2))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(/ (* (pow a1 6) (cos th)) (sqrt 2))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (* (pow a1 6) (sqrt 2)))))
(/ (* (pow a1 6) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(+ (/ (* (pow a1 6) (cos th)) (sqrt 2)) (/ (* (pow a2 6) (cos th)) (sqrt 2)))
(/ (* (pow a2 6) (cos th)) (sqrt 2))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(/ (* (pow a2 6) (cos th)) (sqrt 2))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 6) (cos th)) (* (pow a2 6) (sqrt 2)))))
(/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (sqrt 2))))))) (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2))))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (sqrt 2))
(* (pow a1 2) (sqrt 2))
(+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))
(+ (* (pow a1 2) (sqrt 2)) (* (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)) (* (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) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(pow a2 2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (* (pow a2 2) (pow th 2))) (* 1/24 (pow a2 2)))))) (pow a2 2))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(* (pow a2 2) (cos th))
(pow a1 2)
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(/ a2 (pow a1 2))
(pow a1 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
Outputs
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (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))))))))))
(fma.f64 (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (sqrt 2)) (+ (* (pow a2 2) (sqrt 2)) (* (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)))))))))))))
(fma.f64 (*.f64 th th) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 a1 a1) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))))
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1
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1
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1
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(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))
(fma.f64 (*.f64 th th) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))
(fma.f64 (*.f64 th th) (fma.f64 a1 (*.f64 a1 #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 th th))) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 a1 a1))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(/ a2 (pow a1 2))
(/.f64 a2 (*.f64 a1 a1))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(*.f64 a1 (*.f64 a1 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(fma.f64 a1 (*.f64 a1 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(fma.f64 a1 (*.f64 a1 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 a1 (*.f64 a1 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 a1 (*.f64 a1 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))

eval199.0ms (1.5%)

Memory
37.1MiB live, 427.1MiB allocated
Compiler

Compiled 60 624 to 3 132 computations (94.8% saved)

prune184.0ms (1.4%)

Memory
-6.2MiB live, 536.9MiB allocated
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New1 620281 648
Fresh14216
Picked505
Done000
Total1 639301 669
Accuracy
100.0%
Counts
1 669 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (/.f64 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 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
▶69.4%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
49.9%
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
69.4%
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
69.3%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
58.1%
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
69.4%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
15.5%
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶9.4%
(/.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 #s(literal 1 binary64) (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)))))
▶36.8%
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
16.0%
(/.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
36.8%
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
99.2%
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
69.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶14.2%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
32.3%
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
65.5%
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
65.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
63.5%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
65.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
65.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶99.7%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
65.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
69.4%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
99.2%
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
39.6%
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 1 368 to 778 computations (43.1% saved)

simplify423.0ms (3.2%)

Memory
34.5MiB live, 611.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))
✓cost-diff192
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓cost-diff320
(*.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 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff384
(/.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 #s(literal 1 binary64) (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)))))
✓cost-diff0
(/.f64 a2 (*.f64 a1 a1))
✓cost-diff0
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1408
(*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓cost-diff0
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1344
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff-64
(*.f64 a1 a1)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(cos.f64 th)
✓cost-diff0
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓cost-diff0
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Rules
10 602×accelerator-lowering-fma.f32
10 602×accelerator-lowering-fma.f64
3 568×*-lowering-*.f32
3 568×*-lowering-*.f64
2 298×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041328
1120288
2320288
31001288
42230288
54104273
67256273
08273259
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
th
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
1/2
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
a1
(sqrt 2)
2
(+ (* (/ a2 (sqrt 2)) a2) (/ (* a1 a1) (sqrt 2)))
(/ a2 (sqrt 2))
a2
(sqrt 2)
2
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
a1
(/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1))) (sqrt 2))
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1)))
(+ (* a2 (/ a2 (* a1 a1))) 1)
a2
(/ a2 (* a1 a1))
(* a1 a1)
a1
1
(* (* a1 a1) (+ (* (* th th) -1/2) 1))
(+ (* (* th th) -1/2) 1)
(* th th)
th
-1/2
(sqrt 2)
2
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2)))
(+ (* (* 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))
(/ 1 (sqrt 2))
1
(sqrt 2)
2
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
Outputs
(* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64))))))
(* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64)))))
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64))))
(cos th)
(cos.f64 th)
th
(+ (* a1 a1) (* a2 a2))
(fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64)))
a1
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(/ (* a1 a1) (sqrt 2))
(/.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (/ a2 (sqrt 2)) a2) (/ (* a1 a1) (sqrt 2)))
(/.f64 (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* a1 a1) (sqrt 2))
(/.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1))) (sqrt 2))
(/.f64 (*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (fma.f64 a2 a2 #s(literal 0 binary64))))
(+ (* a2 (/ a2 (* a1 a1))) 1)
(fma.f64 a2 (/.f64 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 1 binary64))
a2
(/ a2 (* a1 a1))
(/.f64 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
1
#s(literal 1 binary64)
(* (* a1 a1) (+ (* (* th th) -1/2) 1))
(*.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ (* (* th th) -1/2) 1)
(fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* th th)
(*.f64 th th)
th
-1/2
#s(literal -1/2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(/.f64 (fma.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (+.f64 a1 a2) (-.f64 a2 a1) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2)))
(/.f64 (fma.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(fma.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(* a1 (* a1 (* a1 a1)))
(fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))
(* a1 (* a1 a1))
(*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64)))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(*.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(* a2 (* a2 (* a2 a2)))
(fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))
(* a2 (* a2 a2))
(fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 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)
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (+.f64 a1 a2) (-.f64 a2 a1) #s(literal 0 binary64)) #s(literal 0 binary64)))
(- (* a2 a2) (* a1 a1))
(fma.f64 (+.f64 a1 a2) (-.f64 a2 a1) #s(literal 0 binary64))

localize172.0ms (1.3%)

Memory
-49.5MiB live, 304.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.4%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy26.5%
(/.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 #s(literal 1 binary64) (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)))))
✓accuracy95.1%
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
✓accuracy85.5%
(/.f64 a2 (*.f64 a1 a1))
✓accuracy83.6%
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓accuracy74.1%
(*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.3%
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 a1 a1)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.9%
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy99.7%
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
Samples
103.0ms256×0valid
Compiler

Compiled 353 to 43 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 51.0ms (64.3% of total)
ival-div: 12.0ms (15.1% of total)
ival-add: 6.0ms (7.6% of total)
ival-cos: 6.0ms (7.6% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
23.6MiB live, 62.2MiB allocated
Counts
20 → 444
Calls
Call 1
Inputs
#<alt (* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)>
#<alt (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))>
#<alt (* (cos th) (+ (* a1 a1) (* a2 a2)))>
#<alt (cos th)>
#<alt (/ (* a1 a1) (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* a1 a1)>
#<alt (+ (* (/ a2 (sqrt 2)) a2) (/ (* a1 a1) (sqrt 2)))>
#<alt (/ a2 (sqrt 2))>
#<alt (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1)))>
#<alt (/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1))) (sqrt 2))>
#<alt (+ (* a2 (/ a2 (* a1 a1))) 1)>
#<alt (/ a2 (* a1 a1))>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2)))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))>
#<alt (* (* a1 a1) (+ (* (* th th) -1/2) 1))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))>
Outputs
#<alt (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))>
#<alt (+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (cos th) (* (sqrt 2) (+ (pow a1 2) (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) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))>
#<alt (* (pow a1 2) (* (cos th) (sqrt 2)))>
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#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a1 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))) (pow a1 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a1 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))) (pow a1 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2))) (pow a2 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (pow a2 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2))) (pow a2 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (pow a2 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (/ (pow a1 6) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (/ (pow a1 6) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (/ (pow a1 6) (sqrt 2))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* -1 (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<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 (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (pow a1 2)>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (* -1/2 (* (pow a1 2) (pow th 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (* -1/2 (* (pow a1 2) (pow th 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))>
#<alt (pow a1 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
Calls

111 calls:

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

rewrite484.0ms (3.7%)

Memory
20.8MiB live, 767.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 822×/-lowering-/.f32
4 822×/-lowering-/.f64
4 690×*-lowering-*.f32
4 690×*-lowering-*.f64
3 818×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041235
1240188
21996182
08218174
Stop Event
1×iter limit
1×node limit
Counts
20 → 812
Calls
Call 1
Inputs
(* (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(* (* (cos th) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (cos th) (+ (* a1 a1) (* a2 a2)))
(cos th)
(/ (* a1 a1) (sqrt 2))
(sqrt 2)
(* a1 a1)
(+ (* (/ a2 (sqrt 2)) a2) (/ (* a1 a1) (sqrt 2)))
(/ a2 (sqrt 2))
(* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1)))
(/ (* (+ (* a2 (/ a2 (* a1 a1))) 1) (* (* a1 a1) (+ (* (* th th) -1/2) 1))) (sqrt 2))
(+ (* a2 (/ a2 (* a1 a1))) 1)
(/ a2 (* a1 a1))
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (/ 1 (sqrt 2)))
(- (* a2 a2) (* a1 a1))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(* (* a1 a1) (+ (* (* th th) -1/2) 1))
(/ 1 (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
Outputs
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(+.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))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.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 (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))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (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 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (/.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 a1 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 a2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (fma.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 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 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))))) (cos.f64 th)) (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (cos.f64 th)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
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(/.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))) (neg.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))) (neg.f64 (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))))) (neg.f64 (neg.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))))) (neg.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))))
(pow.f64 (/.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))))) (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a1 a2) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))

simplify567.0ms (4.3%)

Memory
18.9MiB live, 1 131.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 726×accelerator-lowering-fma.f32
15 726×accelerator-lowering-fma.f64
6 156×*-lowering-*.f32
6 156×*-lowering-*.f64
5 792×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02846569
19326423
234926110
083965749
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
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1
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(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
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(/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))
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(* (pow th 2) (+ (* -1/2 (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (sqrt 2))) (/ (* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2)))) (* (pow th 2) (sqrt 2)))))
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1
(+ 1 (/ (pow a2 2) (pow a1 2)))
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(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
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1
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(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2))) (pow a2 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (pow a2 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))))
(/ (pow a2 6) (sqrt 2))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(/ (pow a1 6) (sqrt 2))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(/ (pow a1 6) (sqrt 2))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(/ (pow a1 6) (sqrt 2))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(/ (pow a2 6) (sqrt 2))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(/ (pow a2 6) (sqrt 2))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(pow a2 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 6)
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(pow a1 6)
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(+ (pow a1 6) (pow a2 6))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(pow a2 6)
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(pow a1 2)
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(* -1/2 (* (pow a1 2) (pow th 2)))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(* -1/2 (* (pow a1 2) (pow th 2)))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(* (pow th 2) (+ (* -1/2 (pow a1 2)) (/ (pow a1 2) (pow th 2))))
(pow a1 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
Outputs
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/48 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal 1/48 binary64) #s(literal -1/4 binary64))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/1440 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/48 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (cos.f64 th)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (*.f64 a2 a2)))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* -1/2 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/24 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (+.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* -1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/24 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))))))
(fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (*.f64 th th) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th (*.f64 th (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))))))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
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(fma.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(fma.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))

eval477.0ms (3.7%)

Memory
-98.7MiB live, 570.0MiB allocated
Compiler

Compiled 54 572 to 3 111 computations (94.3% saved)

prune291.0ms (2.2%)

Memory
-27.6MiB live, 540.4MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New1 522251 547
Fresh101525
Picked235
Done000
Total1 534431 577
Accuracy
100.0%
Counts
1 577 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (/.f64 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 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
✓69.4%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
55.4%
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
69.3%
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
69.4%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
15.5%
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
41.8%
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
▶9.4%
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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)))))
36.8%
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
16.0%
(/.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
65.2%
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
54.6%
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
99.2%
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
69.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
16.6%
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
✓14.2%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
16.0%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
14.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
69.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
65.5%
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
▶65.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
65.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
65.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
▶14.2%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
14.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
▶99.7%
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
69.4%
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
63.6%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
66.0%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
▶65.5%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓99.7%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
65.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
99.2%
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
39.6%
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
Compiler

Compiled 1 719 to 1 046 computations (39.2% saved)

simplify529.0ms (4.1%)

Memory
9.6MiB live, 761.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓cost-diff192
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓cost-diff320
(*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff384
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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)))))
✓cost-diff0
(*.f64 th th)
✓cost-diff0
(fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff1280
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 th th)
✓cost-diff0
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff384
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff-64
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓cost-diff64
(*.f64 (cos.f64 th) (*.f64 a1 a1))
✓cost-diff6656
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1)))
Rules
12 290×accelerator-lowering-fma.f32
12 290×accelerator-lowering-fma.f64
4 062×*-lowering-*.f32
4 062×*-lowering-*.f64
3 472×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044377
1124332
2329318
31093313
43201313
55229313
67337313
08044296
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2)) 1/2)
(* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2))
(+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1)))
(* (cos th) a2)
(cos th)
th
a2
(* (cos th) (* a1 a1))
(* a1 a1)
a1
(sqrt 2)
2
1/2
(* (/ a1 (sqrt 2)) a1)
(/ a1 (sqrt 2))
a1
(sqrt 2)
2
(* (* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2)))
(+ (* (* th th) -1/2) 1)
(* th th)
th
-1/2
1
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
1/2
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2)))
(* th th)
th
(/ -1/2 (sqrt 2))
-1/2
(sqrt 2)
2
(/ 1 (sqrt 2))
1
(/ (* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2)))
(+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1)))))
(* a2 (* a2 (* a2 (* a2 a2))))
a2
(* a2 (* a2 (* a2 a2)))
(* a2 (* a2 a2))
(* a2 a2)
(* (* a1 a1) (* a1 (* a1 (* a1 a1))))
(* a1 a1)
a1
(* a1 (* a1 (* a1 a1)))
(* a1 (* a1 a1))
(/ 1 (sqrt 2))
1
(sqrt 2)
2
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
Outputs
(* (* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2)) 1/2)
(*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))))
(+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))))
(* (cos th) a2)
(*.f64 (cos.f64 th) a2)
(cos th)
(cos.f64 th)
th
a2
(* (cos th) (* a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(* (/ a1 (sqrt 2)) a1)
(/.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
a1
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))))
(* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2)))
(fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64))
(+ (* (* th th) -1/2) 1)
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* th th)
(*.f64 th th)
th
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* a1 a1) (* a2 a2))
(fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
a1
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))
(/.f64 (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
a1
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2)))
(fma.f64 th (*.f64 th (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* th th)
(*.f64 th th)
th
(/ -1/2 (sqrt 2))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
-1/2
#s(literal -1/2 binary64)
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (sqrt 2))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ (* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(/.f64 (fma.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a1 (*.f64 a1 (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (*.f64 a2 (fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))) (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64)))))
(* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2)))
(/.f64 (fma.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a1 (*.f64 a1 (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1)))))
(fma.f64 a2 (*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 a1 (*.f64 a1 (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64)))))
(* a2 (* a2 (* a2 (* a2 a2))))
(*.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)))
a2
(* a2 (* a2 (* a2 a2)))
(fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))
(* a2 (* a2 a2))
(fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
(* (* a1 a1) (* a1 (* a1 (* a1 a1))))
(*.f64 a1 (*.f64 a1 (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64))))
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
(* a1 (* a1 (* a1 a1)))
(fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64))
(* a1 (* a1 a1))
(*.f64 a1 (fma.f64 a1 a1 #s(literal 0 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)
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 a2 (*.f64 a2 (fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))) (fma.f64 a1 (*.f64 a1 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal 0 binary64)))
(- (* a2 a2) (* a1 a1))
(fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))

localize161.0ms (1.2%)

Memory
57.4MiB live, 356.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.4%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy26.5%
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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)))))
✓accuracy99.8%
(fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.4%
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy95.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy95.6%
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓accuracy99.3%
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1)))
✓accuracy99.9%
(*.f64 (cos.f64 th) (*.f64 a1 a1))
✓accuracy99.8%
(*.f64 (cos.f64 th) a2)
✓accuracy99.7%
(*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
Samples
91.0ms256×0valid
Compiler

Compiled 395 to 46 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 35.0ms (61.8% of total)
ival-div: 6.0ms (10.6% of total)
ival-add: 6.0ms (10.6% of total)
ival-cos: 6.0ms (10.6% of total)
ival-sqrt: 2.0ms (3.5% of total)
ival-sub: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-30.3MiB live, 56.3MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#<alt (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1)))>
#<alt (* (cos th) (* a1 a1))>
#<alt (* (* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2)) 1/2)>
#<alt (* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (sqrt 2)>
#<alt (* (/ a1 (sqrt 2)) a1)>
#<alt (* (* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)>
#<alt (* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2))>
#<alt (+ (* (* th th) -1/2) 1)>
#<alt (* th th)>
#<alt (* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (/ (* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))>
#<alt (* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2)))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (* (* a1 a1) (* a1 (* a1 (* a1 a1))))>
#<alt (* (cos th) a2)>
#<alt (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2)))>
#<alt (/ -1/2 (sqrt 2))>
#<alt (/ 1 (sqrt 2))>
#<alt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))>
Outputs
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))>
#<alt (* (pow a2 2) (cos th))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))>
#<alt (pow a1 2)>
#<alt (+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* (pow a1 2) (cos th))>
#<alt (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))>
#<alt (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))>
#<alt (+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))>
#<alt (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
#<alt (+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))>
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#<alt (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (pow a2 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 (+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 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 (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2)))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2))))))>
#<alt (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (+ (/ (pow a1 2) (* (pow th 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 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 (/ 1 (sqrt 2))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))>
#<alt (* -1/2 (/ (pow th 2) (sqrt 2)))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (* -1/2 (/ (pow th 2) (sqrt 2)))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (* (pow th 2) (- (/ 1 (* (pow th 2) (sqrt 2))) (* 1/2 (/ 1 (sqrt 2)))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2))) (pow a2 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (pow a2 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2))) (pow a2 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2))))))>
#<alt (* (pow a2 2) (- (+ (* -1 (/ (* (pow a1 2) (+ (* -1 (/ (pow a1 4) (sqrt 2))) (/ (pow a1 4) (sqrt 2)))) (pow a2 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (+ (* -1 (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))) (/ (pow a1 4) (* (pow a2 4) (sqrt 2)))))))>
#<alt (/ (pow a2 2) (sqrt 2))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a1 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))) (pow a1 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))))))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2))) (pow a1 4))) (/ 1 (sqrt 2))) (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2))))))>
#<alt (* (pow a1 2) (- (+ (* -1 (/ (* (pow a2 2) (+ (* -1 (/ (pow a2 4) (sqrt 2))) (/ (pow a2 4) (sqrt 2)))) (pow a1 6))) (/ 1 (sqrt 2))) (+ (* -1 (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))) (+ (* -1 (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))) (/ (pow a2 4) (* (pow a1 4) (sqrt 2)))))))>
#<alt (/ (pow a1 6) (sqrt 2))>
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#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))>
#<alt (/ (pow a2 6) (sqrt 2))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))>
#<alt (/ (pow a1 6) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (/ (pow a1 6) (sqrt 2))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))>
#<alt (* -1 (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (- (pow a2 2) (pow a1 2))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (pow a2 2)>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (+ (* -1 (pow a1 2)) (pow a2 2))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* -1 (pow a1 2))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt (pow a1 6)>
#<alt a2>
#<alt (+ a2 (* -1/2 (* a2 (pow th 2))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))>
#<alt (+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (* a2 (cos th))>
#<alt (+ (pow a1 2) (pow a2 2))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))>
#<alt (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))>
#<alt (pow a1 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))>
#<alt (pow a2 4)>
#<alt (+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (pow a1 4)>
#<alt (* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))>
Calls

123 calls:

TimeVariablePointExpression
17.0ms
a1
@inf
(* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2)))
2.0ms
th
@0
(* (cos th) (* a1 a1))
1.0ms
a1
@0
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))
1.0ms
th
@inf
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))
1.0ms
th
@0
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))

rewrite565.0ms (4.3%)

Memory
7.2MiB live, 1 057.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 974×*-lowering-*.f32
4 974×*-lowering-*.f64
3 962×/-lowering-/.f32
3 962×/-lowering-/.f64
3 642×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044270
1238212
22127212
08242197
Stop Event
1×iter limit
1×node limit
Counts
23 → 1 211
Calls
Call 1
Inputs
(+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1)))
(* (cos th) (* a1 a1))
(* (* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2)) 1/2)
(* (+ (* (* (cos th) a2) a2) (* (cos th) (* a1 a1))) (sqrt 2))
(/ a1 (sqrt 2))
(sqrt 2)
(* (/ a1 (sqrt 2)) a1)
(* (* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2)) 1/2)
(* (* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2))) (sqrt 2))
(+ (* (* th th) -1/2) 1)
(* th th)
(* (+ (* a1 a1) (* a2 a2)) (+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2))))
(+ (* a1 a1) (* a2 a2))
(+ (* (* th th) (/ -1/2 (sqrt 2))) (/ 1 (sqrt 2)))
(/ (* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2))) (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))))
(* (+ (* (* a2 (* a2 (* a2 (* a2 a2)))) a2) (* (* a1 a1) (* a1 (* a1 (* a1 a1))))) (/ 1 (sqrt 2)))
(- (* a2 a2) (* a1 a1))
(* (* a1 a1) (* a1 (* a1 (* a1 a1))))
(* (cos th) a2)
(* (+ (* (* th th) -1/2) 1) (+ (* a1 a1) (* a2 a2)))
(/ -1/2 (sqrt 2))
(/ 1 (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
Outputs
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(-.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))))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.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))))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 a2 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cos.f64 th) a1) a1 (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (fma.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)))) (-.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))))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)))) (neg.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)))) (neg.f64 (fma.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)))) (-.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))))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (neg.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 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))))) (*.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)))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.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))))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.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))))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(/.f64 (neg.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))))) (*.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))))))) (neg.f64 (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(pow.f64 (/.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) #s(literal -1 binary64))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 (cos.f64 th) a1))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 (*.f64 (cos.f64 th) a1) a1)
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.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))))
(+.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))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.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) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) (*.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 (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))))
(fma.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))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64)))) (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(/.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))))) (neg.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (neg.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (fma.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)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (-.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64)))
(neg.f64 (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))) (neg.f64 (neg.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))) (neg.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(pow.f64 (/.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))

simplify610.0ms (4.7%)

Memory
8.1MiB live, 1 119.3MiB allocated
Algorithm
1×egg-herbie
Rules
18 328×accelerator-lowering-fma.f32
18 328×accelerator-lowering-fma.f64
5 714×*-lowering-*.f32
5 714×*-lowering-*.f64
5 096×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03257878
111107586
242167387
082606884
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(+ (pow a1 2) (pow a2 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (cos th))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(* (pow a2 2) (cos th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (cos th))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(pow a1 2)
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* (pow a1 2) (cos th))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2)))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))))
(+ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (* (pow th 2) (+ (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (* (pow th 2) (+ (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))) (* (pow th 2) (* (sqrt 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2))))))))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(/ (pow a1 2) (sqrt 2))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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1
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(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
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(pow th 2)
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(pow th 2)
(pow th 2)
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(pow th 2)
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(* (pow a1 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (+ (/ 1 (sqrt 2)) (/ (* (pow a2 2) (+ (* -1/2 (/ (pow th 2) (sqrt 2))) (/ 1 (sqrt 2)))) (pow a1 2)))))
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(/ (pow a2 2) (sqrt 2))
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(/ (pow a2 2) (sqrt 2))
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(/ (pow a1 2) (sqrt 2))
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(/ (pow a1 2) (sqrt 2))
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(/ (pow a1 6) (sqrt 2))
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(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(* (pow a2 6) (+ (/ 1 (sqrt 2)) (/ (pow a1 6) (* (pow a2 6) (sqrt 2)))))
(/ (pow a2 6) (sqrt 2))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(+ (/ (pow a1 6) (sqrt 2)) (/ (pow a2 6) (sqrt 2)))
(/ (pow a1 6) (sqrt 2))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(/ (pow a1 6) (sqrt 2))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* (pow a1 6) (+ (/ 1 (sqrt 2)) (/ (pow a2 6) (* (pow a1 6) (sqrt 2)))))
(* -1 (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(- (pow a2 2) (pow a1 2))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(pow a2 2)
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* -1 (pow a1 2))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
(pow a1 6)
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(* a2 (cos th))
(+ (pow a1 2) (pow a2 2))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* -1/2 (* (pow th 2) (+ (pow a1 2) (pow a2 2))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* (pow th 2) (+ (* -1/2 (+ (pow a1 2) (pow a2 2))) (+ (/ (pow a1 2) (pow th 2)) (/ (pow a2 2) (pow th 2)))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (pow a1 2)))))
(* (pow a1 2) (+ 1 (* -1/2 (pow th 2))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(+ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(pow a1 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(pow a2 4)
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(pow a1 4)
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
Outputs
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))) (+ (pow a1 2) (pow a2 2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))))) (+ (pow a1 2) (pow a2 2)))
(fma.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (+ (* -1/2 (pow a2 2)) (* (pow th 2) (+ (* 1/24 (pow a1 2)) (+ (* 1/24 (pow a2 2)) (* (pow th 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))) (+ (pow a1 2) (pow a2 2)))
(fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))) (*.f64 th th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (cos th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (+ (cos th) (/ (* (pow a1 2) (cos th)) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(* (pow a2 2) (cos th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(* (pow a1 2) (+ (cos th) (/ (* (pow a2 2) (cos th)) (pow a1 2))))
(*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (*.f64 a1 a1)) (cos.f64 th)))
(pow a1 2)
(*.f64 a1 a1)
(+ (* -1/2 (* (pow a1 2) (pow th 2))) (pow a1 2))
(*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* 1/24 (* (pow a1 2) (pow th 2))))) (pow a1 2))
(fma.f64 (*.f64 th th) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) (*.f64 a1 a1))
(+ (* (pow th 2) (+ (* -1/2 (pow a1 2)) (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (pow th 2))) (* 1/24 (pow a1 2)))))) (pow a1 2))
(fma.f64 (*.f64 th th) (fma.f64 a1 (*.f64 a1 #s(literal -1/2 binary64)) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 th th))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)))) (*.f64 a1 a1))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* (pow a1 2) (cos th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2)))))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 th (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64))))))
(+ (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* -1/2 (pow a1 2)) (* -1/2 (pow a2 2))))) (* (pow th 2) (+ (* 1/2 (* (sqrt 2) (+ (* 1/24 (pow a1 2)) (* 1/24 (pow a2 2))))) (* 1/2 (* (pow th 2) (* (sqrt 2) (+ (* -1/720 (pow a1 2)) (* -1/720 (pow a2 2)))))))))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 th (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64))))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (sqrt 2) (+ (* (pow a1 2) (cos th)) (* (pow a2 2) (cos th)))))
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(* (pow a2 2) (+ 1 (* -1/2 (pow th 2))))
(*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(* (pow a2 2) (+ 1 (+ (* -1/2 (pow th 2)) (/ (* (pow a1 2) (+ 1 (* -1/2 (pow th 2)))) (pow a2 2)))))
(*.f64 (*.f64 a2 a2) (fma.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a1 4))
(*.f64 (*.f64 a1 a1) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(+ (* (pow a2 2) (+ (* -1 (pow a1 2)) (pow a2 2))) (pow a1 4))
(fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(* (pow a2 4) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(* (pow a2 4) (- (+ 1 (/ (pow a1 4) (pow a2 4))) (/ (pow a1 2) (pow a2 2))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))))
(pow a2 4)
(*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))
(+ (* -1 (* (pow a1 2) (pow a2 2))) (pow a2 4))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(+ (* (pow a1 2) (+ (* -1 (pow a2 2)) (pow a1 2))) (pow a2 4))
(fma.f64 a1 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(pow a1 4)
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* (pow a1 4) (+ 1 (* -1 (/ (pow a2 2) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))
(* (pow a1 4) (+ 1 (+ (* -1 (/ (pow a2 2) (pow a1 2))) (/ (pow a2 4) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (-.f64 (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal -1 binary64))))

eval333.0ms (2.5%)

Memory
24.7MiB live, 595.6MiB allocated
Compiler

Compiled 104 774 to 4 535 computations (95.7% saved)

prune364.0ms (2.8%)

Memory
-14.6MiB live, 756.7MiB allocated
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New1 843191 862
Fresh112435
Picked415
Done033
Total1 858471 905
Accuracy
100.0%
Counts
1 905 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
✓69.4%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
55.4%
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
32.1%
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
69.3%
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
69.4%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
15.5%
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
41.8%
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)))
9.4%
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
15.4%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
36.8%
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
15.4%
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
16.0%
(/.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
65.2%
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
54.6%
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
69.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓14.2%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
16.0%
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
14.2%
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
14.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
69.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
69.4%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
65.9%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
65.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
16.6%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
69.4%
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓14.2%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
14.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
14.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
16.6%
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
14.2%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
63.6%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
66.0%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
65.2%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
16.0%
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
✓99.7%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
38.2%
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
63.8%
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
99.3%
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
65.2%
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
99.2%
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
39.6%
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
99.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
Compiler

Compiled 2 763 to 912 computations (67% saved)

regimes270.0ms (2.1%)

Memory
-0.8MiB live, 518.4MiB allocated
Counts
94 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 #s(literal 1 binary64) (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 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 a2) (/.f64 (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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.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 (fma.f64 a1 a1 (*.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) (fma.f64 a1 a1 (*.f64 a2 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 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.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))) (cos.f64 th)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.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 (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 (*.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 (*.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.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))
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) a2) a2 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 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 a1 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)))
(/.f64 (/.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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.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 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(fma.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 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

8 calls:

53.0ms
th
43.0ms
a2
33.0ms
(+.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)))
31.0ms
(cos.f64 th)
29.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
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)

regimes203.0ms (1.6%)

Memory
-3.6MiB live, 468.1MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 #s(literal 1 binary64) (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 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 a2) (/.f64 (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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.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 (fma.f64 a1 a1 (*.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) (fma.f64 a1 a1 (*.f64 a2 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 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.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))) (cos.f64 th)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.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 (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 (*.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 (*.f64 (*.f64 (cos.f64 th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

8 calls:

32.0ms
a1
24.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
24.0ms
(*.f64 a1 a1)
24.0ms
a2
24.0ms
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)

regimes168.0ms (1.3%)

Memory
8.3MiB live, 319.0MiB allocated
Counts
71 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 #s(literal 1 binary64) (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 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 a2) (/.f64 (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 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

8 calls:

28.0ms
(cos.f64 th)
25.0ms
a1
20.0ms
(*.f64 a2 a2)
19.0ms
th
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.3%1a1
99.3%1a2
99.3%1th
99.3%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)))
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(cos.f64 th)
99.3%1(*.f64 a1 a1)
99.3%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes175.0ms (1.3%)

Memory
21.0MiB live, 255.1MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 #s(literal 1 binary64) (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 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
Calls

8 calls:

39.0ms
a1
26.0ms
th
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
19.0ms
(+.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)))
17.0ms
a2
Results
AccuracySegmentsBranch
99.3%1a1
99.3%1a2
99.3%1th
99.3%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)))
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(cos.f64 th)
99.3%1(*.f64 a1 a1)
99.3%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes238.0ms (1.8%)

Memory
-27.0MiB live, 231.0MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 a1) (fma.f64 a2 (/.f64 a2 (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (fma.f64 th (*.f64 th #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))) (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a2 (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a2 (*.f64 a2 (fma.f64 a1 (/.f64 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 a2 a2)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)) (*.f64 (*.f64 th th) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th)) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th (*.f64 th #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/720 binary64) #s(literal 1/48 binary64))) (*.f64 (*.f64 th th) (*.f64 th th))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) 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 #s(literal 1 binary64) (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 (*.f64 (fma.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) a2 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (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)))))
Outputs
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
Calls

8 calls:

39.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
36.0ms
(*.f64 a1 a1)
35.0ms
a1
32.0ms
th
31.0ms
a2
Results
AccuracySegmentsBranch
69.4%1a2
80.0%2(+.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)))
69.4%1(*.f64 a2 a2)
69.4%1a1
69.4%1th
80.0%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
80.0%2(cos.f64 th)
69.4%1(*.f64 a1 a1)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes11.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 th th) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(/.f64 (*.f64 a1 (*.f64 a1 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (*.f64 (*.f64 th th) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (fma.f64 th (*.f64 th #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a2) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 th th) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
Calls

1 calls:

9.0ms
(+.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)))
Results
AccuracySegmentsBranch
80.0%2(+.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)

regimes105.0ms (0.8%)

Memory
-10.0MiB live, 65.6MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) a1)
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
Outputs
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

44.0ms
(*.f64 a1 a1)
33.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
5.0ms
a2
5.0ms
a1
5.0ms
th
Results
AccuracySegmentsBranch
69.4%1a1
69.4%1(*.f64 a1 a1)
69.4%1th
69.4%1a2
69.4%1(*.f64 a2 a2)
69.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
69.4%1(cos.f64 th)
69.4%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)))
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes34.0ms (0.3%)

Memory
-1.2MiB live, 42.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
Calls

8 calls:

14.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
3.0ms
a2
3.0ms
a1
3.0ms
th
3.0ms
(+.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)))
Results
AccuracySegmentsBranch
69.4%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)))
69.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
69.4%1(cos.f64 th)
69.4%1(*.f64 a1 a1)
69.4%1a1
69.4%1a2
69.4%1th
69.4%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes15.0ms (0.1%)

Memory
22.0MiB live, 22.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
Calls

8 calls:

2.0ms
th
2.0ms
a1
2.0ms
a2
2.0ms
(/.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)))
Results
AccuracySegmentsBranch
69.1%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)))
69.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
69.1%1(cos.f64 th)
69.1%1(*.f64 a1 a1)
69.1%1a1
69.1%1th
69.1%1a2
69.1%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes27.0ms (0.2%)

Memory
-19.8MiB live, 19.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

16.0ms
a2
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
a1
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms
th
Results
AccuracySegmentsBranch
14.2%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)))
14.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.2%1(cos.f64 th)
14.2%1a1
14.2%1(*.f64 a1 a1)
14.2%1a2
14.2%1(*.f64 a2 a2)
14.2%1th
Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.75936808467274e-114
-5.5642917168370975e-151
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.75936808467274e-114
-5.5642917168370975e-151
Compiler

Compiled 25 to 18 computations (28% saved)

simplify9.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
1×egg-herbie
Rules
48×*-commutative_binary64
2×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051186
179186
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 (+.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))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (+.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))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
Outputs
(*.f64 (*.f64 (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))
(if (<=.f64 (+.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))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (+.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))))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))))
(if (<=.f64 (+.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))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 (*.f64 (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(if (<=.f64 (+.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))))) #s(literal -2772669694120815/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

soundness1.6s (12.1%)

Memory
-39.3MiB live, 1 129.4MiB allocated
Rules
34 694×accelerator-lowering-fma.f32
34 694×accelerator-lowering-fma.f64
18 328×accelerator-lowering-fma.f32
18 328×accelerator-lowering-fma.f64
15 726×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041235
1240188
21996182
08218174
02846569
19326423
234926110
083965749
041241
1235215
21986207
09264201
04538383
115547944
259737627
083087254
01111498
13431366
212051262
338981233
084221172
03257878
111107586
242167387
082606884
01238
15038
240338
3732138
0842437
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 669 to 394 computations (41.1% saved)

preprocess178.0ms (1.4%)

Memory
-8.9MiB live, 432.5MiB allocated
Remove

(abs th)

(abs a1)

Compiler

Compiled 2 102 to 1 216 computations (42.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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