Migdal et al, Equation (64)

Time bar (total: 12.5s)

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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 (8.9%)

Memory
15.6MiB live, 2 361.7MiB allocated
Samples
872.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 662.0ms
ival-cos: 252.0ms (38.1% of total)
ival-mult: 207.0ms (31.3% of total)
ival-sqrt: 91.0ms (13.8% of total)
ival-div: 53.0ms (8% of total)
ival-add: 42.0ms (6.3% of total)
ival-true: 6.0ms (0.9% of total)
exact: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess160.0ms (1.3%)

Memory
34.6MiB live, 73.5MiB 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)

explain149.0ms (1.2%)

Memory
-25.1MiB live, 334.4MiB 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
56.0ms512×0valid
Compiler

Compiled 160 to 52 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (36.1% of total)
ival-cos: 12.0ms (33.3% of total)
ival-div: 4.0ms (11.1% of total)
ival-sqrt: 4.0ms (11.1% of total)
ival-add: 2.0ms (5.6% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.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 (0.1%)

Memory
13.5MiB live, 13.5MiB 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

localize41.0ms (0.3%)

Memory
1.1MiB live, 76.9MiB 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 a1 a1))
✓accuracy99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
✓accuracy98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Samples
29.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (36.7% of total)
ival-mult: 7.0ms (36.7% of total)
ival-div: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory
-4.5MiB live, 32.8MiB 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
3.0ms
a1
@0
(+ (* (/ (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)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))
2.0ms
th
@-inf
(/ (cos th) (sqrt 2))
1.0ms
th
@0
(+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))

rewrite343.0ms (2.7%)

Memory
-11.9MiB live, 650.7MiB 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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simplify752.0ms (6%)

Memory
-0.5MiB live, 1 401.5MiB 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)))

eval78.0ms (0.6%)

Memory
1.9MiB live, 119.8MiB allocated
Compiler

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

prune159.0ms (1.3%)

Memory
-8.7MiB live, 152.4MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New47119490
Fresh000
Picked101
Done000
Total47219491
Accuracy
100.0%
Counts
491 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(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)))))
99.7%
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
▶65.7%
(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 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
14.3%
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
▶14.3%
(/.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))))
23.9%
(/.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))))
99.0%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
51.0%
(/.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)))
99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))))
37.7%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (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)))))
▶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))
59.6%
(*.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)))))
61.5%
(*.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)))
99.6%
(*.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 914 to 516 computations (43.5% saved)

simplify385.0ms (3.1%)

Memory
3.7MiB live, 490.4MiB 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))))) (cos.f64 th))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-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-diff0
(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)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff1088
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓cost-diff0
(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)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓cost-diff0
(/.f64 (*.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
10 006×accelerator-lowering-fma.f32
10 006×accelerator-lowering-fma.f64
3 784×*-lowering-*.f32
3 784×*-lowering-*.f64
2 124×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038341
1107297
2247297
3606297
41942297
54830297
67514297
08143285
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)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
(cos th)
th
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
(/ 1 (cos th))
1
(cos th)
th
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(* a1 a1)
a1
(* a1 (* a1 (* a1 a1)))
(* a1 (* a1 a1))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(* a2 a2)
a2
(* a2 (* a2 (* a2 a2)))
(* a2 (* a2 a2))
(cos th)
th
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
(sqrt 2)
2
Outputs
(* (+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1)))) 1/2)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))))))
(+ (* (sqrt 2) (* (cos th) (* a2 a2))) (* (sqrt 2) (* (cos th) (* a1 a1))))
(*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (cos th) (* 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 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 a1 a1 #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))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
(/.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)) (sqrt 2))
(/.f64 (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
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(/.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)) (sqrt 2))
(/.f64 (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
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (cos th))
(/.f64 #s(literal 1 binary64) (cos.f64 th))
1
#s(literal 1 binary64)
(cos th)
(cos.f64 th)
th
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 a1 a1 #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 a2 (fma.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(*.f64 (cos.f64 th) (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))) (fma.f64 a2 (fma.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 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))) (fma.f64 a2 (fma.f64 a2 (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #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 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #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 (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))
(cos th)
(cos.f64 th)
th
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64)) #s(literal 0 binary64))))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 a1 a1 #s(literal 0 binary64)) (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64)) #s(literal 0 binary64)))
(- (* a2 a2) (* a1 a1))
(fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize304.0ms (2.4%)

Memory
-14.1MiB live, 223.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓accuracy99.8%
(*.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)))
✓accuracy92.8%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy22.4%
(/.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))))) (cos.f64 th)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.8%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 th)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 th))
✓accuracy99.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.9%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓accuracy99.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 a2 a2)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.4%
(/.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
153.0ms256×0valid
Compiler

Compiled 378 to 40 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 88.0ms (68.1% of total)
ival-div: 26.0ms (20.1% of total)
ival-cos: 6.0ms (4.6% of total)
ival-add: 5.0ms (3.9% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-sub: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series106.0ms (0.8%)

Memory
-7.1MiB live, 72.0MiB allocated
Counts
22 → 516
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)) (sqrt 2)) (cos th))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))>
#<alt (* (sqrt 2) (* (cos th) (* a1 a1)))>
#<alt (* (cos th) (* a2 a2))>
#<alt (* (cos th) (* a1 a1))>
#<alt (* a2 a2)>
#<alt (/ 1 (cos th))>
#<alt (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))>
#<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)))>
#<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 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 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 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
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#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))) (* 1/24 (/ (+ (pow a1 6) (pow a2 6)) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))))) (+ (/ (pow a1 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4)))) (/ (pow a2 6) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (/ (* (cos th) (+ (pow a1 6) (pow a2 6))) (* (sqrt 2) (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (pow a1 4))))>
#<alt (* (pow a2 6) (cos th))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (* (pow a1 6) (cos th))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (cos th))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))>
#<alt (* (pow a1 6) (cos th))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))>
#<alt (* (pow a2 6) (cos th))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (cos th))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))>
#<alt (+ (pow a1 6) (pow a2 6))>
#<alt (+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))>
#<alt (+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (cos th) (+ (pow a1 6) (pow a2 6)))>
#<alt (* (pow a1 2) (sqrt 2))>
#<alt (+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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))))))))>
#<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 (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 (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow th 2)))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))>
#<alt (+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (/ 1 (cos th))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (pow a1 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

129 calls:

TimeVariablePointExpression
22.0ms
a1
@0
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
4.0ms
a1
@inf
(* (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (cos th))
2.0ms
th
@inf
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
1.0ms
th
@0
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
1.0ms
a2
@inf
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))

rewrite710.0ms (5.7%)

Memory
4.4MiB live, 513.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 608×accelerator-lowering-fma.f32
5 608×accelerator-lowering-fma.f64
4 986×*-lowering-*.f32
4 986×*-lowering-*.f64
4 754×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038222
1219192
21762192
08460184
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 133
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)) (sqrt 2)) (cos th))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (/ 1 (cos th)))
(- (* a2 a2) (* a1 a1))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th)) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) (cos th))
(* (sqrt 2) (* (cos th) (* a1 a1)))
(* (cos th) (* a2 a2))
(* (cos th) (* a1 a1))
(* a2 a2)
(/ 1 (cos th))
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
Outputs
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(-.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(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 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
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(/.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))) (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))) (neg.f64 (fma.f64 a1 (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))) (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))) (neg.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)))))

simplify662.0ms (5.3%)

Memory
19.4MiB live, 651.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 460×accelerator-lowering-fma.f32
13 460×accelerator-lowering-fma.f64
6 694×*-lowering-*.f32
6 694×*-lowering-*.f64
3 940×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04017408
113937064
252897060
085996723
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
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)))
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(/ (* (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))))
(* (pow a2 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (cos th))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (+ (cos th) (/ (* (pow a2 6) (cos th)) (pow a1 6))))
(* (pow a1 6) (cos th))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(+ (* (pow a1 6) (cos th)) (* (pow a2 6) (cos th)))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (cos th))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(* (pow a2 6) (+ (cos th) (/ (* (pow a1 6) (cos th)) (pow a2 6))))
(+ (pow a1 6) (pow a2 6))
(+ (* -1/2 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* 1/24 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))))) (+ (pow a1 6) (pow a2 6)))
(+ (* (pow th 2) (+ (* -1/2 (+ (pow a1 6) (pow a2 6))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (pow a1 6) (pow a2 6)))) (* 1/24 (+ (pow a1 6) (pow a2 6))))))) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (cos th) (+ (pow a1 6) (pow a2 6)))
(* (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))
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
1
(+ 1 (* 1/2 (pow th 2)))
(+ 1 (* (pow th 2) (+ 1/2 (* 5/24 (pow th 2)))))
(+ 1 (* (pow th 2) (+ 1/2 (* (pow th 2) (+ 5/24 (* 61/720 (pow th 2)))))))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(/ 1 (cos th))
(* (pow a1 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))))) (*.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 (*.f64 th th) (fma.f64 (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (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))))
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1
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(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 4) (sqrt 2))
(*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 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 (*.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 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (*.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 (/.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 (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64)) (*.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 (/.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 (*.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))) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (/.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 (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (/.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))) (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.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 (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (/.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 (-.f64 #s(literal 1 binary64) (*.f64 a2 (/.f64 a2 (*.f64 a1 a1)))) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))

eval311.0ms (2.5%)

Memory
15.5MiB live, 640.3MiB allocated
Compiler

Compiled 79 827 to 3 380 computations (95.8% saved)

prune203.0ms (1.6%)

Memory
-1.8MiB live, 489.3MiB allocated
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New2 101212 122
Fresh13114
Picked505
Done000
Total2 119222 141
Accuracy
100.0%
Counts
2 141 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.7%
(fma.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2 (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
65.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
▶27.6%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
65.7%
(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))))
65.6%
(/.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))))
58.0%
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
50.8%
(/.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))))
▶57.4%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
59.6%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
24.4%
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
53.4%
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
▶7.5%
(/.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))))) #s(literal 1 binary64)) (*.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))))
99.0%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
65.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
▶17.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
61.5%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
59.6%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
99.1%
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
65.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
Compiler

Compiled 896 to 522 computations (41.7% saved)

simplify323.0ms (2.6%)

Memory
4.0MiB live, 637.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.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 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓cost-diff0
(*.f64 th th)
✓cost-diff2048
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
✓cost-diff0
(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)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff384
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 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
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
Rules
11 874×accelerator-lowering-fma.f32
11 874×accelerator-lowering-fma.f64
4 880×*-lowering-*.f32
4 880×*-lowering-*.f64
2 648×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042359
1126321
2370310
31164310
43028310
55658310
08238292
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2)
(* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))
(* (sqrt 2) (cos th))
(sqrt 2)
2
(cos th)
th
(+ (* a2 a2) (* a1 a1))
a2
(* a1 a1)
a1
1/2
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
a1
(sqrt 2)
2
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(sqrt 2)
2
(+ (* th (* th 1/2)) 1)
th
(* th 1/2)
1/2
1
(+ (* (* th th) (* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(* th th)
th
(* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))
-1/4
(* (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(sqrt 2)
2
(+ (* a1 a1) (* a2 a2))
a1
(* a2 a2)
a2
(* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(* (+ (* a1 a1) (* a2 a2)) 1/2)
1/2
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(+ (* (* 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
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(- (* a2 a2) (* a1 a1))
(sqrt 2)
2
Outputs
(* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))))))
(* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* 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) (cos th))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(cos th)
(cos.f64 th)
th
(+ (* a2 a2) (* a1 a1))
(fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))
a2
(* a1 a1)
(fma.f64 a1 a1 #s(literal 0 binary64))
a1
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)
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
(/.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(/.f64 (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
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* th (* th 1/2)) 1)
(fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64))
th
(* th 1/2)
(*.f64 th #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (* th th) (* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 th (*.f64 th #s(literal -1/4 binary64)) #s(literal 1/2 binary64))))
(* th th)
(*.f64 th th)
th
(* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))) #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (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)
(+ (* 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) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64)))))
(* (+ (* a1 a1) (* a2 a2)) 1/2)
(*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (fma.f64 a1 a1 #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(/.f64 (fma.f64 (fma.f64 a1 a1 #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)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64)))))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(fma.f64 (fma.f64 a1 a1 #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)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(fma.f64 (fma.f64 a1 a1 #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)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)) #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 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (fma.f64 a2 a2 #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 (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
#s(literal 1 binary64)
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64))))))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(fma.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 (+.f64 a2 a1) (-.f64 a1 a2) #s(literal 0 binary64)))))
(- (* a2 a2) (* a1 a1))
(fma.f64 (+.f64 a2 a1) (-.f64 a2 a1) #s(literal 0 binary64))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize143.0ms (1.1%)

Memory
-3.2MiB live, 351.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
✓accuracy99.8%
(*.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)))
✓accuracy92.8%
(-.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓accuracy24.9%
(/.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))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)))
✓accuracy53.1%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 a2 a2)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy79.9%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 a1 a1)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.7%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1)))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))
Samples
80.0ms256×0valid
Compiler

Compiled 385 to 44 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 31.0ms (55.8% of total)
ival-div: 7.0ms (12.6% of total)
ival-add: 7.0ms (12.6% of total)
ival-cos: 6.0ms (10.8% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-1.2MiB live, 84.3MiB allocated
Counts
21 → 456
Calls
Call 1
Inputs
#<alt (* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2)>
#<alt (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))>
#<alt (* (sqrt 2) (cos th))>
#<alt (sqrt 2)>
#<alt (/ (* a1 a1) (sqrt 2))>
#<alt (* a1 a1)>
#<alt (/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))>
#<alt (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (+ (* (* th th) (* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))>
#<alt (* th th)>
#<alt (* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))>
#<alt (* (sqrt 2) (+ (* a1 a1) (* a2 a2)))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)>
#<alt (- (* a2 a2) (* a1 a1))>
#<alt (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))>
#<alt (cos th)>
#<alt (* a2 a2)>
#<alt (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))>
#<alt (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))>
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 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 (* (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 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 (sqrt 2)>
#<alt (+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))>
#<alt (+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (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 (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (pow a1 2)>
#<alt (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))>
#<alt (+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))>
#<alt (+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))>
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#<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 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)))))>
#<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 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 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)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (pow a2 2)>
#<alt (* 1/2 (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (* 1/2 (* (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (sqrt 2)))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* 1/2 (* (pow a1 2) (sqrt 2)))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))>
#<alt (* 1/2 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* 1/2 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))>
#<alt (* (pow a2 4) (sqrt 2))>
#<alt (+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (sqrt 2))>
#<alt (* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
#<alt (* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))>
Calls

114 calls:

TimeVariablePointExpression
7.0ms
th
@inf
(* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2)
4.0ms
a2
@inf
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
1.0ms
a1
@0
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
1.0ms
th
@inf
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
1.0ms
a2
@0
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))

rewrite467.0ms (3.7%)

Memory
8.2MiB live, 1 153.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 968×accelerator-lowering-fma.f32
5 968×accelerator-lowering-fma.f64
5 162×/-lowering-/.f32
5 162×/-lowering-/.f64
4 690×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042219
1232203
21898203
08311190
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 043
Calls
Call 1
Inputs
(* (* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1))) 1/2)
(* (* (sqrt 2) (cos th)) (+ (* a2 a2) (* a1 a1)))
(* (sqrt 2) (cos th))
(sqrt 2)
(/ (* a1 a1) (sqrt 2))
(* a1 a1)
(/ (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2)) (+ (* th (* th 1/2)) 1))
(/ (+ (* a1 a1) (* a2 a2)) (sqrt 2))
(+ (* a1 a1) (* a2 a2))
(+ (* (* th th) (* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(* th th)
(* -1/4 (* (sqrt 2) (+ (* a1 a1) (* a2 a2))))
(* (sqrt 2) (+ (* a1 a1) (* a2 a2)))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(- (* a2 a2) (* a1 a1))
(+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1))))
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2)))
(cos th)
(* a2 a2)
(* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(* (+ (* (* a2 a2) (- (* a2 a2) (* a1 a1))) (* a1 (* a1 (* a1 a1)))) (sqrt 2))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(*.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 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1/2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(*.f64 (fma.f64 a2 (*.f64 (*.f64 a2 (+.f64 a2 a1)) (-.f64 a2 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))) (sqrt.f64 #s(literal 2 binary64)))

simplify538.0ms (4.3%)

Memory
8.8MiB live, 1 250.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 276×accelerator-lowering-fma.f32
17 276×accelerator-lowering-fma.f64
5 872×*-lowering-*.f32
5 872×*-lowering-*.f64
5 616×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03427179
111236891
241836532
082026163
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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 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)))
(+ (* -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 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))))
(sqrt 2)
(+ (sqrt 2) (* -1/2 (* (pow th 2) (sqrt 2))))
(+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* 1/24 (* (pow th 2) (sqrt 2))))))
(+ (sqrt 2) (* (pow th 2) (+ (* -1/2 (sqrt 2)) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (sqrt 2))) (* 1/24 (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 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))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a1 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(+ (/ (pow a1 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))
(/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(/ (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2)))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))))))
(* (pow a2 2) (+ (/ 1 (* (sqrt 2) (+ 1 (* 1/2 (pow th 2))))) (/ (pow a1 2) (* (pow a2 2) (* (sqrt 2) (+ 1 (* 1/2 (pow th 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) (- (* 1/4 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (- (* (pow th 2) (- (* -1/8 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* -1/4 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))) (* 1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(* 2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))
(/ (+ (* -4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (pow th 2))
(/ (- (+ (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2))))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))) (pow th 2))
(/ (- (+ (* -16 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 6) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (+ (* -8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))) (pow th 2))
(* 2 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))
(/ (+ (* -4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (pow th 2))
(/ (- (+ (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2))))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2))))) (pow th 2))
(/ (- (+ (* -16 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 6) (sqrt 2)))) (* 2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2)))) (+ (* -8 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 4) (sqrt 2)))) (* 4 (/ (+ (pow a1 2) (pow a2 2)) (* (pow th 2) (sqrt 2)))))) (pow th 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 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)))))
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(/ (pow a1 2) (sqrt 2))
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(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/ (pow a2 2) (sqrt 2))
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(+ (pow a1 2) (pow a2 2))
(+ (pow a1 2) (pow a2 2))
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(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
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(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
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(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
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(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
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(* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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(* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* (pow th 2) (+ (* -1/4 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a2 2) (sqrt 2))))
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(+ (* -1/4 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))))
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(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
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(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a2 2) (* (pow th 2) (sqrt 2))) (pow a1 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))))
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(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
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(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
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(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
(* (pow a2 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(* -1/4 (* (pow a2 2) (sqrt 2)))
(+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* -1/4 (* (pow a2 2) (sqrt 2))))
(+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* -1/4 (* (pow a2 2) (sqrt 2))))
(+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* -1/4 (* (pow a2 2) (sqrt 2))))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* -1/4 (sqrt 2)) (* -1/4 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* -1/4 (sqrt 2)) (* -1/4 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* -1/4 (sqrt 2)) (* -1/4 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* -1/4 (* (pow a1 2) (sqrt 2)))
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(* (pow a1 2) (+ (* -1/4 (sqrt 2)) (* -1/4 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* -1/4 (sqrt 2)) (* -1/4 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* -1/4 (* (pow a1 2) (sqrt 2)))
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(+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* -1/4 (* (pow a2 2) (sqrt 2))))
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(* -1/4 (* (pow a2 2) (sqrt 2)))
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(* (pow a2 2) (sqrt 2))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
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(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
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(pow a2 6)
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(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
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(+ (pow a1 6) (pow a2 6))
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(- (pow a2 2) (pow a1 2))
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(* (pow a2 2) (+ 1 (* -1 (/ (pow a1 2) (pow a2 2)))))
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(+ (* -1 (pow a1 2)) (pow a2 2))
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(+ (* -1 (pow a1 2)) (pow a2 2))
(* -1 (pow a1 2))
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(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(* (pow a1 2) (- (/ (pow a2 2) (pow a1 2)) 1))
(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)
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(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)))))
(/ (pow a2 2) (sqrt 2))
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(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/ (pow a1 2) (sqrt 2))
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(* (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))))))
(* (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)))))))
(/ (pow a1 2) (sqrt 2))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (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))))))
(* (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)))))))
(/ (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 (/ (+ (* -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 2) (sqrt 2))
(* (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)))))))
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)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(pow a2 2)
(* 1/2 (* (pow a2 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a1 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(* (pow a2 4) (sqrt 2))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (sqrt 2))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
Outputs
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* -1/4 (* (pow th 2) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 th th) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th th))) (fma.f64 (*.f64 th th) #s(literal -1/1440 binary64) #s(literal 1/48 binary64))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.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 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.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 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(* (pow a2 2) (+ (* 1/2 (* (cos th) (sqrt 2))) (* 1/2 (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.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 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.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 #s(literal 1/2 binary64) (*.f64 a2 a2)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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 (*.f64 a1 a1) (*.f64 #s(literal 1/2 binary64) (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)))))
(* (sqrt 2) (+ (pow a1 2) (pow a2 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+ (* -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 a2 a2 (*.f64 a1 a1))))
(+ (* (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 a2 a2 (*.f64 a1 a1))) (+.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 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 th th) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th 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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (cos th) (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (fma.f64 a2 a2 (*.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 (fma.f64 a2 a2 (*.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (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 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (*.f64 a2 a2) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) (*.f64 a2 a2))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
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(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a1 a1)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a1 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a1 4) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+ (* (pow a1 4) (sqrt 2)) (* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* (pow a2 2) (sqrt 2)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(* (pow a2 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 a1 (*.f64 a2 a2)) #s(literal 1 binary64))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (pow a1 4) (sqrt 2)) (pow a2 4)))))
(*.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))
(+ (* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(+ (* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (sqrt 2)))) (* (pow a2 4) (sqrt 2)))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(* (pow a1 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 4) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))
(* (pow a1 4) (+ (sqrt 2) (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))) (/ (* (pow a2 4) (sqrt 2)) (pow a1 4)))))
(*.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) a2) (/.f64 a2 (*.f64 a1 a1)) (/.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))))) (sqrt.f64 #s(literal 2 binary64))))

eval253.0ms (2%)

Memory
18.5MiB live, 512.7MiB allocated
Compiler

Compiled 96 778 to 4 015 computations (95.9% saved)

prune245.0ms (2%)

Memory
11.1MiB live, 621.0MiB allocated
Pruning

35 alts after pruning (33 fresh and 2 done)

PrunedKeptTotal
New1 906221 928
Fresh61117
Picked325
Done000
Total1 915351 950
Accuracy
100.0%
Counts
1 950 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.8%
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
17.0%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
7.1%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
65.7%
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
65.6%
(/.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))))
58.0%
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
50.8%
(/.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))))
59.6%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
0.2%
(/.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
▶7.5%
(/.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
0.5%
(/.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
13.7%
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
99.0%
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
57.4%
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
65.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓17.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
65.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
▶17.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
65.7%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
59.6%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
61.5%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
59.6%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
54.3%
(*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
99.1%
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
▶17.8%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
17.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
61.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
✓99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
65.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
▶99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
59.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
99.1%
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
16.8%
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
Compiler

Compiled 1 472 to 897 computations (39.1% saved)

simplify346.0ms (2.8%)

Memory
8.3MiB live, 491.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))))
✓cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
✓cost-diff64
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 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))))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64)))
✓cost-diff0
(*.f64 th th)
✓cost-diff64
(fma.f64 a1 a1 (*.f64 a2 a2))
✓cost-diff1280
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 a1 a1)
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓cost-diff0
(*.f64 a2 (cos.f64 th))
✓cost-diff0
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
Rules
11 174×accelerator-lowering-fma.f32
11 174×accelerator-lowering-fma.f64
4 978×*-lowering-*.f32
4 978×*-lowering-*.f64
3 310×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041283
1114251
2355248
31444248
43855246
55946246
08119241
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (sqrt 2) (* a2 (* a2 (cos th)))) 1/2)
(* (sqrt 2) (* a2 (* a2 (cos th))))
(sqrt 2)
2
(* a2 (* a2 (cos th)))
a2
(* a2 (cos th))
(cos th)
th
1/2
(* (/ a1 (sqrt 2)) a1)
(/ a1 (sqrt 2))
a1
(sqrt 2)
2
(/ 1 (/ (sqrt 2) (* a1 a1)))
1
(/ (sqrt 2) (* a1 a1))
(sqrt 2)
2
(* a1 a1)
a1
(+ (* (* th th) (* (sqrt 2) (* (* a1 a1) -1/4))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(* th th)
th
(* (sqrt 2) (* (* a1 a1) -1/4))
(sqrt 2)
2
(* (* a1 a1) -1/4)
(* a1 a1)
a1
-1/4
(* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(* (+ (* a1 a1) (* a2 a2)) 1/2)
(+ (* a1 a1) (* a2 a2))
(* a2 a2)
a2
1/2
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(+ (* (* 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) (* a2 a2)) (* (+ a2 a1) (- a2 a1)))
(* (sqrt 2) (* a2 a2))
(sqrt 2)
2
(* (+ a2 a1) (- a2 a1))
(+ a2 a1)
(- a2 a1)
Outputs
(* (* (sqrt 2) (* a2 (* a2 (cos th)))) 1/2)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 #s(literal 0 binary64)))))
(* (sqrt 2) (* a2 (* a2 (cos th))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* a2 (* a2 (cos th)))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
a2
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(cos th)
(cos.f64 th)
th
1/2
#s(literal 1/2 binary64)
(* (/ a1 (sqrt 2)) a1)
(/.f64 (*.f64 a1 a1) (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)
(/ 1 (/ (sqrt 2) (* a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ (sqrt 2) (* a1 a1))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* a1 a1)
(*.f64 a1 a1)
a1
(+ (* (* th th) (* (sqrt 2) (* (* a1 a1) -1/4))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 (*.f64 a2 #s(literal 1/2 binary64)) (*.f64 (*.f64 a1 a1) (fma.f64 th (*.f64 th #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
(* th th)
(*.f64 th th)
th
(* (sqrt 2) (* (* a1 a1) -1/4))
(*.f64 a1 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (* a1 a1) -1/4)
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* a1 a1)
(*.f64 a1 a1)
a1
-1/4
#s(literal -1/4 binary64)
(* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* (+ (* a1 a1) (* a2 a2)) 1/2)
(*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+ (* a1 a1) (* a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(* a2 a2)
(fma.f64 a2 a2 #s(literal 0 binary64))
a2
1/2
#s(literal 1/2 binary64)
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1))))
(/.f64 (fma.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)) (*.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (*.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(fma.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)) (*.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (*.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(fma.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)) (*.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (*.f64 a2 (fma.f64 a2 (fma.f64 a2 a2 #s(literal 0 binary64)) #s(literal 0 binary64)))))
(* a1 a1)
(*.f64 a1 a1)
a1
(* a1 (* a1 (* a1 a1)))
(*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))
(* a1 (* a1 a1))
(*.f64 a1 (*.f64 a1 a1))
(* (* a2 a2) (* a2 (* a2 (* a2 a2))))
(*.f64 (fma.f64 a2 a2 #s(literal 0 binary64)) (*.f64 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))
a2
(* a2 (* a2 (* a2 a2)))
(*.f64 a2 (fma.f64 a2 (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
#s(literal 1 binary64)
(* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(* (sqrt 2) (* a2 a2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 #s(literal 0 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ a2 a1) (- a2 a1))
(*.f64 (+.f64 a2 a1) (-.f64 a2 a1))
(+ a2 a1)
(+.f64 a2 a1)
(- a2 a1)
(-.f64 a2 a1)

localize164.0ms (1.3%)

Memory
-12.8MiB live, 209.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 a2 (*.f64 a2 a2))
✓accuracy99.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))
✓accuracy24.9%
(/.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
✓accuracy100.0%
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64)))
✓accuracy69.7%
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 a1 a1)
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.0%
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
✓accuracy99.4%
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(cos.f64 th)
✓accuracy99.9%
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
✓accuracy99.8%
(*.f64 a2 (cos.f64 th))
✓accuracy99.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
Samples
98.0ms256×0valid
Compiler

Compiled 319 to 43 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 45.0ms (64.8% of total)
ival-div: 6.0ms (8.6% of total)
ival-cos: 6.0ms (8.6% of total)
ival-sqrt: 5.0ms (7.2% of total)
ival-add: 4.0ms (5.8% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
29.6MiB live, 29.6MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#<alt (* (sqrt 2) (* a2 (* a2 (cos th))))>
#<alt (sqrt 2)>
#<alt (* a2 (* a2 (cos th)))>
#<alt (* a2 (cos th))>
#<alt (* (/ a1 (sqrt 2)) a1)>
#<alt (/ a1 (sqrt 2))>
#<alt (/ 1 (/ (sqrt 2) (* a1 a1)))>
#<alt (/ (sqrt 2) (* a1 a1))>
#<alt (* a1 a1)>
#<alt (+ (* (* th th) (* (sqrt 2) (* (* a1 a1) -1/4))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))>
#<alt (+ (* a1 a1) (* a2 a2))>
#<alt (* th th)>
#<alt (* (sqrt 2) (* (* a1 a1) -1/4))>
#<alt (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)>
#<alt (* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1)))>
#<alt (/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1))))>
#<alt (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))>
#<alt (cos th)>
#<alt (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))>
#<alt (* (* a1 a1) -1/4)>
#<alt (* (sqrt 2) (* a2 a2))>
#<alt (* a2 (* a2 a2))>
Outputs
#<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) (sqrt 2))>
#<alt (+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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))))))))>
#<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))>
#<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)>
#<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 (* 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>
#<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 (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ a1 (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (pow a1 2) (sqrt 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
#<alt (/ (sqrt 2) (pow a1 2))>
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#<alt (* 1/2 (* (pow a2 2) (sqrt 2)))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* -1/4 (pow a1 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (* (pow a2 2) (sqrt 2))>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
#<alt (pow a2 3)>
Calls

96 calls:

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

rewrite740.0ms (5.9%)

Memory
-183.6MiB live, 695.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 034×accelerator-lowering-fma.f32
10 034×accelerator-lowering-fma.f64
5 372×*-lowering-*.f32
5 372×*-lowering-*.f64
4 332×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040191
1185163
21382163
08394159
Stop Event
1×iter limit
1×node limit
Counts
22 → 676
Calls
Call 1
Inputs
(* (sqrt 2) (* a2 (* a2 (cos th))))
(sqrt 2)
(* a2 (* a2 (cos th)))
(* a2 (cos th))
(* (/ a1 (sqrt 2)) a1)
(/ a1 (sqrt 2))
(/ 1 (/ (sqrt 2) (* a1 a1)))
(/ (sqrt 2) (* a1 a1))
(* a1 a1)
(+ (* (* th th) (* (sqrt 2) (* (* a1 a1) -1/4))) (* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2)))
(+ (* a1 a1) (* a2 a2))
(* th th)
(* (sqrt 2) (* (* a1 a1) -1/4))
(* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1)
(* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1)))
(/ (* (+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2))))) 1) (* (* (sqrt 2) (* a2 a2)) (* (+ a2 a1) (- a2 a1))))
(+ (* (* a1 a1) (* a1 (* a1 (* a1 a1)))) (* (* a2 a2) (* a2 (* a2 (* a2 a2)))))
(cos th)
(* (sqrt 2) (* (+ (* a1 a1) (* a2 a2)) 1/2))
(* (* a1 a1) -1/4)
(* (sqrt 2) (* a2 a2))
(* a2 (* a2 a2))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (cos.f64 th))) a2)
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) a1) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) #s(literal -1 binary64))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal -1 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a1)))
(*.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) a1)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (-.f64 #s(literal 0 binary64) a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1 binary64))
(*.f64 a1 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))
(*.f64 (-.f64 #s(literal 0 binary64) a1) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) #s(literal -1/2 binary64)))
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 a1)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 a1 a1) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) a1) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a1 a1))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))) #s(literal -1 binary64))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) a1) #s(literal -1 binary64)))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a1)))
(*.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 a1 a1) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 a1 (/.f64 #s(literal 1 binary64) a1)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 a1 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a1 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 a1 #s(literal -1 binary64)) (/.f64 a1 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) a1) #s(literal -1 binary64)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 a1))))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/.f64 #s(literal 1 binary64) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
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(pow.f64 (exp.f64 (log.f64 a2)) #s(literal 3 binary64))
(*.f64 a2 (*.f64 a2 a2))
(*.f64 (*.f64 a2 a2) a2)
(*.f64 (pow.f64 a2 #s(literal 3/2 binary64)) (pow.f64 a2 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 a2 a2) #s(literal 3/4 binary64)) (pow.f64 (*.f64 a2 a2) #s(literal 3/4 binary64)))

simplify267.0ms (2.1%)

Memory
29.7MiB live, 383.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 420×accelerator-lowering-fma.f32
6 420×accelerator-lowering-fma.f64
4 246×*-lowering-*.f32
4 246×*-lowering-*.f64
1 852×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03464253
111473928
247443831
083283702
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* (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) (sqrt 2))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 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) (* (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))
(* (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)
(+ (* -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))
(* 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
(+ 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))
(/ (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))
(/ 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))
(/ (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))
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(pow a1 2)
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* (pow th 2) (+ (* -1/4 (* (pow a1 2) (sqrt 2))) (* 1/2 (/ (* (sqrt 2) (+ (pow a1 2) (pow a2 2))) (pow th 2)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))))
(+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))))
(+ (* 1/2 (* (pow a2 2) (sqrt 2))) (* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2)))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (* 1/2 (sqrt 2))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(* (pow a1 2) (+ (* -1/4 (* (pow th 2) (sqrt 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2))))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (pow a1 2) (sqrt 2))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))))))
(* (pow a2 2) (+ (* -1/4 (/ (* (pow a1 2) (* (pow th 2) (sqrt 2))) (pow a2 2))) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 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))))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(* -1/4 (* (pow a1 2) (sqrt 2)))
(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))))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* a2 (* (sqrt 2) (+ a1 (* -1 a1))))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* a2 (+ (* a2 (sqrt 2)) (* (sqrt 2) (+ a1 (* -1 a1)))))))
(* (pow a2 2) (+ (* -1 (* (pow a1 2) (sqrt 2))) (* a2 (+ (* a2 (sqrt 2)) (* (sqrt 2) (+ a1 (* -1 a1)))))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(* (pow a2 4) (+ (sqrt 2) (+ (* -1 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2))) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2))))
(* (pow a2 4) (sqrt 2))
(* (pow a2 4) (+ (sqrt 2) (/ (* (sqrt 2) (+ a1 (* -1 a1))) a2)))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (/ (* (pow a1 2) (sqrt 2)) a2)) a2))))
(* (pow a2 4) (+ (sqrt 2) (* -1 (/ (+ (* -1 (* (sqrt 2) (+ a1 (* -1 a1)))) (/ (* (pow a1 2) (sqrt 2)) a2)) a2))))
(* (pow a2 4) (sqrt 2))
(+ (* a1 (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2))))) (* (pow a2 4) (sqrt 2)))
(+ (* a1 (+ (* -1 (* a1 (* (pow a2 2) (sqrt 2)))) (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))))) (* (pow a2 4) (sqrt 2)))
(+ (* a1 (+ (* -1 (* a1 (* (pow a2 2) (sqrt 2)))) (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))))) (* (pow a2 4) (sqrt 2)))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (/ (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))) a1)))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))) a1) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (+ (/ (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))) a1) (/ (* (pow a2 4) (sqrt 2)) (pow a1 2)))))
(* -1 (* (pow a1 2) (* (pow a2 2) (sqrt 2))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* -1 (/ (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2)))) a1))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) a1)) (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2))))) a1))))
(* (pow a1 2) (+ (* -1 (* (pow a2 2) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (* (pow a2 4) (sqrt 2)) a1)) (* (pow a2 2) (* (sqrt 2) (+ a2 (* -1 a2))))) a1))))
(/ (pow a2 2) (sqrt 2))
(+ (* -1 (* a1 (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a2 2))))) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(+ (* a1 (- (* a1 (- (+ (* -1 (/ (* a1 (* (+ a2 (* -1 a2)) (- (/ 1 (sqrt 2)) (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a2 2)))))) (pow a2 2))) (/ 1 (sqrt 2))) (* -1 (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a2 2))))) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))))) (/ (pow a2 2) (sqrt 2)))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2))) (pow a1 3))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (+ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (/ (pow a2 2) (sqrt 2))) (pow a1 4))) (+ (* -1 (/ a2 (* (pow a1 3) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (+ (/ 1 (* (pow a2 2) (sqrt 2))) (/ a2 (* (pow a1 3) (sqrt 2))))))))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(* -1 (* (pow a1 4) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (+ (* -1 (/ a2 (* (pow a1 3) (sqrt 2)))) (/ a2 (* (pow a1 3) (sqrt 2)))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* (pow a1 4) (- (* -1 (/ (- (+ (/ (* (+ a2 (* -1 a2)) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) a1) (/ (pow a2 2) (* a1 (sqrt 2)))) (+ (* -1 (/ a2 (sqrt 2))) (/ a2 (sqrt 2)))) (pow a1 3))) (+ (/ 1 (* (pow a1 2) (sqrt 2))) (/ 1 (* (pow a2 2) (sqrt 2))))))
(* -1 (/ (pow a1 4) (* (pow a2 2) (sqrt 2))))
(/ (+ (* -1 (/ (* (pow a1 2) (* a2 (+ a1 (* -1 a1)))) (sqrt 2))) (* -1 (/ (pow a1 4) (sqrt 2)))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* a2 (- (* -1 (* a2 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) (/ (* (pow a1 2) (+ a1 (* -1 a1))) (sqrt 2))))) (pow a2 2))
(/ (+ (* -1 (/ (pow a1 4) (sqrt 2))) (* a2 (- (* a2 (- (* -1 (* a2 (+ (* -1 (/ a1 (sqrt 2))) (+ (/ a1 (sqrt 2)) (/ (* (+ a1 (* -1 a1)) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2)))) (pow a1 2)))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow (+ a1 (* -1 a1)) 2) (sqrt 2))))) (/ (* (pow a1 2) (+ a1 (* -1 a1))) (sqrt 2))))) (pow a2 2))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (* -1 (/ (pow a1 2) (sqrt 2)))) (pow a2 2))) (/ 1 (sqrt 2))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (/ a1 (* a2 (sqrt 2))))))
(* (pow a2 2) (- (+ (* -1 (/ (+ (* -1 (* (+ a1 (* -1 a1)) (+ (* -1 (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (* -1 (/ (pow a1 2) (sqrt 2)))))) (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) (pow a2 3))) (/ 1 (sqrt 2))) (+ (* -1 (/ a1 (* a2 (sqrt 2)))) (+ (* -1 (/ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (pow a2 2))) (+ (* -1 (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))) (/ a1 (* a2 (sqrt 2))))))))
(/ (pow a2 2) (sqrt 2))
(* (pow a2 2) (+ (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (+ (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2))) a2)) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(* (pow a2 2) (+ (* -1 (/ (+ (* -1 (/ a1 (sqrt 2))) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ a1 (* -1 a1)) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) (* (pow a1 2) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2))))) a2)) (+ (* (+ a1 (* -1 a1)) (+ (* -1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)))) (/ (pow a1 2) (sqrt 2)))) a2)) (/ a1 (sqrt 2)))) a2)) (/ 1 (sqrt 2))))
(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))))
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)
(* 1/2 (* (pow a2 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 2))
(* -1/4 (pow a1 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 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
(pow a2 3)
Outputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* -1/2 (* (pow a2 2) (* (pow th 2) (sqrt 2)))) (* (pow a2 2) (sqrt 2)))
(fma.f64 (*.f64 th th) (*.f64 (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (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)))))))
(fma.f64 (*.f64 th th) (fma.f64 (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))) (fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (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))))))))
(fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 a2) #s(literal -1/720 binary64)) (*.f64 (*.f64 a2 a2) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 a2 a2) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(pow a2 2)
(*.f64 a2 a2)
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(fma.f64 th (*.f64 th (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(fma.f64 (*.f64 th th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) #s(literal 1/24 binary64)) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 a2 a2))
(+ (* (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))
(fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 a2 a2) (*.f64 (*.f64 th th) #s(literal -1/720 binary64)) (*.f64 a2 (*.f64 a2 #s(literal 1/24 binary64)))) (*.f64 (*.f64 a2 a2) #s(literal -1/2 binary64))) (*.f64 a2 a2))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(fma.f64 (*.f64 th th) (fma.f64 a2 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 (*.f64 th th) #s(literal 1/24 binary64)))) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 a2 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 a2 (*.f64 th th)))) (*.f64 a2 #s(literal -1/2 binary64))) a2)
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(* a2 (cos th))
(*.f64 a2 (cos.f64 th))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (pow a1 2) (sqrt 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(/ (sqrt 2) (pow a1 2))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(pow a1 2)
(*.f64 a1 a1)
(* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+ (* -1/4 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* 1/2 (* (sqrt 2) (+ (pow a1 2) (pow a2 2)))))
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(pow.f64 a1 #s(literal 6 binary64))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(pow a1 6)
(pow.f64 a1 #s(literal 6 binary64))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(* (pow a1 6) (+ 1 (/ (pow a2 6) (pow a1 6))))
(*.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))))
(pow a1 6)
(pow.f64 a1 #s(literal 6 binary64))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(+ (pow a1 6) (pow a2 6))
(+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(pow a2 6)
(pow.f64 a2 #s(literal 6 binary64))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64)))))
(* (pow a2 6) (+ 1 (/ (pow a1 6) (pow a2 6))))
(*.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 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 (*.f64 th 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 (*.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))
(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)
(* 1/2 (* (pow a2 2) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (sqrt 2)) (pow a1 2)))))
(*.f64 (*.f64 (*.f64 a1 a1) #s(literal 1/2 binary64)) (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (pow a1 2) (sqrt 2)))
(*.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+ (* 1/2 (* (pow a1 2) (sqrt 2))) (* 1/2 (* (pow a2 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 a2 a2 (*.f64 a1 a1))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (* (pow a2 2) (sqrt 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (* 1/2 (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (sqrt 2)) (pow a2 2)))))
(*.f64 (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* -1/4 (pow a1 2))
(*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow a2 2) (sqrt 2))
(fma.f64 a2 (fma.f64 a2 (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))
(pow a2 3)
(*.f64 a2 (*.f64 a2 a2))

eval182.0ms (1.5%)

Memory
12.9MiB live, 237.1MiB allocated
Compiler

Compiled 47 007 to 2 373 computations (95% saved)

prune171.0ms (1.4%)

Memory
-14.1MiB live, 345.4MiB allocated
Pruning

43 alts after pruning (38 fresh and 5 done)

PrunedKeptTotal
New1 206171 223
Fresh72128
Picked235
Done022
Total1 215431 258
Accuracy
100.0%
Counts
1 258 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
17.0%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
7.1%
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
53.5%
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
65.7%
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
65.6%
(/.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))))
7.5%
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
58.0%
(/.f64 (fma.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
50.8%
(/.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))))
59.6%
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
0.5%
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 binary64)))
0.2%
(/.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
13.7%
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
57.4%
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
65.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
✓17.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
7.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
65.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
✓17.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)))
65.7%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
59.6%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
7.7%
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
7.7%
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
61.5%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
59.6%
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
9.5%
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
54.3%
(*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
99.1%
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
✓17.8%
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
17.8%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
17.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
99.1%
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2) #s(literal 1/2 binary64))
99.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th)) #s(literal 1/2 binary64))
✓99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
99.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
99.1%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
58.9%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
60.4%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
✓99.1%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
59.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
65.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
13.3%
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
Compiler

Compiled 2 604 to 861 computations (66.9% saved)

regimes226.0ms (1.8%)

Memory
-6.4MiB live, 348.2MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #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 (/.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 (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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (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)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 a2 a2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 (*.f64 a1 a1)))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 #s(literal 2 binary64))) a2 (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.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 (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))
Calls

8 calls:

53.0ms
a2
34.0ms
th
24.0ms
(cos.f64 th)
23.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
22.0ms
(+.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
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)

regimes171.0ms (1.4%)

Memory
-8.7MiB live, 260.9MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #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 (/.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 (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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (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)))))
(/.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)))))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
Calls

8 calls:

32.0ms
(cos.f64 th)
21.0ms
a1
20.0ms
th
20.0ms
a2
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%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)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes203.0ms (1.6%)

Memory
-10.7MiB live, 216.7MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (cos.f64 th)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (cos.f64 th)) a2) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
Calls

8 calls:

54.0ms
th
40.0ms
(+.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)))
20.0ms
a2
18.0ms
(cos.f64 th)
18.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%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)))
99.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.1%1(cos.f64 th)
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes160.0ms (1.3%)

Memory
28.1MiB live, 225.7MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
Calls

8 calls:

40.0ms
a1
19.0ms
th
19.0ms
(cos.f64 th)
18.0ms
(+.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)))
16.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%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)))
99.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.1%1(cos.f64 th)
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes197.0ms (1.6%)

Memory
-25.3MiB live, 222.6MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a2 a2) #s(literal 1/2 binary64))) (cos.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
Calls

8 calls:

36.0ms
th
35.0ms
a1
29.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
29.0ms
(*.f64 a2 a2)
21.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%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)))
99.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.1%1(cos.f64 th)
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes143.0ms (1.1%)

Memory
2.4MiB live, 235.6MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
Outputs
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
Calls

8 calls:

31.0ms
a2
20.0ms
th
17.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
15.0ms
(*.f64 a2 a2)
15.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%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)))
99.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.1%1(cos.f64 th)
99.1%1(*.f64 a1 a1)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes125.0ms (1%)

Memory
20.5MiB live, 266.3MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/2 binary64) (*.f64 a2 (*.f64 th th)) a2))) #s(literal 1/2 binary64))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 th th) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th (*.f64 th #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.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)))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 th th) #s(literal -1/4 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 a2 a2) (*.f64 (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))))
(/.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 a1) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 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)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(*.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 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)))
(/.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 a2 a2) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 (*.f64 a1 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 (*.f64 a1 a1))) a1 (*.f64 (*.f64 a2 (*.f64 a2 a2)) (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))) #s(literal 1 binary64)) (fma.f64 a1 (fma.f64 (*.f64 a2 a2) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)) #s(literal 0 binary64)) #s(literal 0 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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(/.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))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 #s(literal 1 binary64) (*.f64 a2 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))
(*.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) a2))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a2 a1) (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (+.f64 a2 a1)))))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))))) (*.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)) a1) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) a1)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2)))) (*.f64 (*.f64 a1 (*.f64 a1 a1)) (*.f64 a1 (*.f64 a1 a1)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2)) (-.f64 a2 a1)) (/.f64 (/.f64 #s(literal 1 binary64) a2) (+.f64 a2 a1)))
(/.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))))) #s(literal 1 binary64)) (*.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))))) #s(literal 1 binary64)) (*.f64 (*.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))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2))))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
Calls

8 calls:

20.0ms
a2
16.0ms
th
16.0ms
(*.f64 a2 a2)
15.0ms
a1
15.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
65.7%1a1
65.7%1a2
65.7%1th
76.8%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)))
75.5%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
75.5%2(cos.f64 th)
65.7%1(*.f64 a1 a1)
65.7%1(*.f64 a2 a2)
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes12.0ms (0.1%)

Memory
-9.9MiB live, 29.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
Outputs
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
Calls

3 calls:

4.0ms
(+.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)))
4.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
4.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
71.0%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
71.0%2(cos.f64 th)
72.0%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 35 to 23 computations (34.3% saved)

regimes4.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
Outputs
(*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
Calls

1 calls:

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
71.0%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)

regimes14.0ms (0.1%)

Memory
-6.4MiB live, 32.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) a1) a1)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
Outputs
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
Calls

4 calls:

4.0ms
(cos.f64 th)
3.0ms
th
3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
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
65.7%1th
65.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.7%1(cos.f64 th)
65.7%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)))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes18.0ms (0.1%)

Memory
0.1MiB live, 41.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.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:

3.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
th
2.0ms
a2
2.0ms
a1
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
65.7%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)))
65.7%1(*.f64 a1 a1)
65.7%1a1
65.7%1a2
65.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.7%1(cos.f64 th)
65.7%1(*.f64 a2 a2)
65.7%1th
Compiler

Compiled 59 to 40 computations (32.2% saved)

regimes15.0ms (0.1%)

Memory
-1.9MiB live, 37.8MiB allocated
Accuracy

Total -30.8b remaining (-140.2%)

Threshold costs -30.8b (-140.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
Calls

8 calls:

2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
2.0ms
a2
2.0ms
th
2.0ms
a1
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
65.7%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)))
65.7%1(*.f64 a1 a1)
65.7%1a1
65.7%1a2
65.7%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.7%1(cos.f64 th)
65.7%1(*.f64 a2 a2)
65.7%1th
Compiler

Compiled 59 to 40 computations (32.2% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.766521818592624e-232
-5.56283659947508e-234
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.4350664020372234e-96
-1.9933903344036116e-111
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.078924911064959e-285
-2.227568766319893e-286
Compiler

Compiled 25 to 18 computations (28% saved)

simplify10.0ms (0.1%)

Memory
-19.4MiB live, 20.2MiB allocated
Algorithm
1×egg-herbie
Rules
62×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060224
192224
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(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 -2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(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 -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
Outputs
(*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 a2 (cos.f64 th))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (*.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) (*.f64 a2 a2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) #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 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 th))))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) #s(literal 1/2 binary64))))
(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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 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 -5593535921577141/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(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 -2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 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 -2404907604760405/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 th th) #s(literal 1/2 binary64)))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(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 -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 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 -6696928794914171/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) (*.f64 th (*.f64 th (*.f64 #s(literal -1/4 binary64) (*.f64 a1 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1))))) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(/.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a2 a2)))

soundness1.6s (13%)

Memory
1.5MiB live, 1 318.8MiB allocated
Rules
34 694×accelerator-lowering-fma.f32
34 694×accelerator-lowering-fma.f64
17 276×accelerator-lowering-fma.f32
17 276×accelerator-lowering-fma.f64
13 460×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03464253
111473928
247443831
083283702
040191
1185163
21382163
08394159
01238
15038
240338
3732138
0842437
01111498
13431366
212051262
338981233
084221172
038222
1219192
21762192
08460184
04017408
113937064
252897060
085996723
03427179
111236891
241836532
082026163
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 754 to 396 computations (47.5% saved)

preprocess197.0ms (1.6%)

Memory
32.9MiB live, 395.6MiB allocated
Remove

(abs th)

(abs a2)

Compiler

Compiled 2 430 to 1 320 computations (45.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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