Migdal et al, Equation (64)

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
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)

sample1.5s (19.7%)

Memory
-11.2MiB live, 1 166.7MiB allocated; 303ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 713.0ms
ival-mult: 298.0ms (41.8% of total)
ival-cos: 201.0ms (28.2% of total)
ival-div: 70.0ms (9.8% of total)
ival-add: 70.0ms (9.8% of total)
ival-sqrt: 55.0ms (7.7% of total)
ival-true: 6.0ms (0.8% of total)
exact: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain182.0ms (2.4%)

Memory
13.2MiB live, 110.0MiB allocated; 8ms collecting garbage
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
51.0ms512×0valid
Compiler

Compiled 135 to 40 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36% of total)
ival-cos: 12.0ms (36% of total)
ival-sqrt: 4.0ms (12% of total)
ival-div: 3.0ms (9% of total)
ival-add: 2.0ms (6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess223.0ms (3%)

Memory
-11.3MiB live, 84.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040120
1163120
2592120
31529120
42996120
54325120
66209120
01219
02013
15213
217313
354513
4108813
5159113
6227013
7361213
8608113
0809712
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Symmetry

(abs th)

(abs a2)

(abs a1)

(sort a1 a2)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
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 19 to 12 computations (36.8% saved)

simplify129.0ms (1.7%)

Memory
20.1MiB live, 64.8MiB allocated; 4ms collecting garbage
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-diff7
(+.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
02050
15250
217350
354550
4108850
5159150
6227050
7361250
8608150
0809749
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (cos.f64 th)))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 a1)
a1
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 a2)
a2

localize68.0ms (0.9%)

Memory
-22.2MiB live, 23.6MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 th)
accuracy0.20378876953688405
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
accuracy0.21941376953688405
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
accuracy0.693691259768442
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Samples
25.0ms256×0valid
Compiler

Compiled 58 to 14 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.8% of total)
ival-cos: 6.0ms (36.8% of total)
ival-div: 2.0ms (12.3% of total)
ival-sqrt: 2.0ms (12.3% of total)
ival-add: 1.0ms (6.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
5 → 27
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
Outputs
(/ (* (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 a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (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) (sqrt 2)) (/ (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)))
(/ 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)))
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)))
(/ (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)))
(/ (cos th) (sqrt 2))
(cos th)
Calls

9 calls:

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

simplify207.0ms (2.7%)

Memory
0.3MiB live, 137.9MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111543
1388508
21688439
35754424
08567387
Stop Event
1×iter limit
1×node limit
Counts
27 → 27
Calls
Call 1
Inputs
(/ (* (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 a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (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) (sqrt 2)) (/ (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)))
(/ 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)))
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)))
(/ (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)))
(/ (cos th) (sqrt 2))
(cos th)
Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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))))
(fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (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 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 th th)) (*.f64 th th)))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+ (* (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 (fma.f64 (*.f64 (*.f64 a1 a1) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 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)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a1 a1) (*.f64 (*.f64 (*.f64 a1 a1) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (pow.f64 th #s(literal 4 binary64)))) (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 #s(literal -1/2 binary64) (*.f64 th th) #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 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.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 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64))) (*.f64 th th) #s(literal 1 binary64))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+ (* (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 (fma.f64 (*.f64 (*.f64 a2 a2) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 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)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 a2 a2) (*.f64 (*.f64 (*.f64 a2 a2) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (pow.f64 th #s(literal 4 binary64)))) (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)

rewrite246.0ms (3.3%)

Memory
17.8MiB live, 203.9MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01244
02038
17238
250538
3707938
0882237
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 236
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(cos.f64 th)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
Outputs
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))))) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 a1 a1))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (cos.f64 th) (fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(/.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))

eval37.0ms (0.5%)

Memory
26.2MiB live, 72.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 11 155 to 899 computations (91.9% saved)

prune14.0ms (0.2%)

Memory
-11.3MiB live, 35.3MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New28815303
Fresh000
Picked101
Done000
Total28915304
Accuracy
100.0%
Counts
304 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
99.6%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
99.6%
(/.f64 (fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
99.6%
(/.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
99.6%
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
27.1%
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
99.6%
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
99.6%
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
▶99.6%
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
42.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶65.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
58.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
63.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
▶99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
Compiler

Compiled 702 to 462 computations (34.2% saved)

simplify159.0ms (2.1%)

Memory
-1.7MiB live, 145.9MiB allocated; 27ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff6
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff3
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) a2)
cost-diff0
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(*.f64 a1 a1)
cost-diff0
(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff0
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(fma.f64 a2 a2 (*.f64 a1 a1))
cost-diff0
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031246
049220
1122220
2313220
3747220
41277220
51708220
62354220
73705220
86166220
08182220
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) a2)
(cos.f64 th)
th
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(cos.f64 th)
th
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (cos.f64 th))
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(cos.f64 th)
th
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(cos.f64 th)
th
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(cos.f64 th)
th
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
a2
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(cos.f64 th)
th
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (cos.f64 th))
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))

localize97.0ms (1.3%)

Memory
-24.5MiB live, 164.5MiB allocated; 19ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19921875
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy0.203125
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy0.3828125
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy0.140625
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.15234375
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy0.3828125
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy0.14453125
(*.f64 (cos.f64 th) a2)
accuracy0.16015625
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
accuracy0.192456461824548
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy0.0
(*.f64 a1 a1)
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.2265625
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
accuracy22.17318464263447
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
(cos.f64 th)
accuracy0.0625
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.2265625
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
Samples
75.0ms256×0valid
Compiler

Compiled 236 to 30 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 35.0ms (65% of total)
ival-div: 6.0ms (11.1% of total)
ival-cos: 6.0ms (11.1% of total)
ival-add: 4.0ms (7.4% of total)
ival-sqrt: 2.0ms (3.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
25.1MiB live, 71.2MiB allocated; 5ms collecting garbage
Counts
18 → 49
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) a2)
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(/ a1 (sqrt 2))
(/ (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) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* a2 (cos th))
(/ a2 (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
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)))
(+ (* (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))))
(+ (* -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)))
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))))))
(+ (* -1/2 (* (pow th 2) (+ (/ (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)) (/ (pow a2 2) (sqrt 2)))) (* 1/24 (* (pow th 2) (+ (/ (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)) (/ (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))) (* 1/24 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (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)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* (cos th) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
a2
@-inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2)))) (* (cos th) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2))))) (/ a2 (sqrt 2)) (+ (* (* (cos th) (/ a2 (sqrt 2))) a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (* (cos th) (/ a2 (sqrt 2))) (sqrt 2) (/ a1 (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (* (* a1 (cos th)) (/ a1 (sqrt 2))))
5.0ms
th
@0
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2)))) (* (cos th) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2))))) (/ a2 (sqrt 2)) (+ (* (* (cos th) (/ a2 (sqrt 2))) a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (* (cos th) (/ a2 (sqrt 2))) (sqrt 2) (/ a1 (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (* (* a1 (cos th)) (/ a1 (sqrt 2))))
3.0ms
a1
@0
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2)))) (* (cos th) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2))))) (/ a2 (sqrt 2)) (+ (* (* (cos th) (/ a2 (sqrt 2))) a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (* (cos th) (/ a2 (sqrt 2))) (sqrt 2) (/ a1 (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (* (* a1 (cos th)) (/ a1 (sqrt 2))))
3.0ms
a1
@inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2)))) (* (cos th) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2))))) (/ a2 (sqrt 2)) (+ (* (* (cos th) (/ a2 (sqrt 2))) a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (* (cos th) (/ a2 (sqrt 2))) (sqrt 2) (/ a1 (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (* (* a1 (cos th)) (/ a1 (sqrt 2))))
3.0ms
a2
@inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* a1 a1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2)))) (* (cos th) (+ (* a2 (/ a2 (sqrt 2))) (* a1 (/ a1 (sqrt 2))))) (/ a2 (sqrt 2)) (+ (* (* (cos th) (/ a2 (sqrt 2))) a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) (* (cos th) (/ a2 (sqrt 2))) (sqrt 2) (/ a1 (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (* (* a1 (cos th)) (/ a1 (sqrt 2))))

simplify565.0ms (7.5%)

Memory
-159.4MiB live, 228.4MiB allocated; 954ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178991
1678842
22800771
08073704
Stop Event
1×iter limit
1×node limit
Counts
49 → 48
Calls
Call 1
Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(pow a1 2)
(/ a1 (sqrt 2))
(/ (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) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(* a2 (cos th))
(/ a2 (sqrt 2))
(/ (* a2 (cos th)) (sqrt 2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
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)))
(+ (* (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))))
(+ (* -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)))
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))))))
(+ (* -1/2 (* (pow th 2) (+ (/ (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)) (/ (pow a2 2) (sqrt 2)))) (* 1/24 (* (pow th 2) (+ (/ (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)) (/ (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))) (* 1/24 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (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)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* (cos th) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(pow a1 2)
(*.f64 a1 a1)
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 a1 a1) (/.f64 (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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(/ (* a2 (cos th)) (sqrt 2))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (*.f64 a2 a2))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 th th)))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64))) (*.f64 th th) #s(literal 1 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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.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 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 th th)))))
(+ (* (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 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+ (* (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)))
(fma.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+ (* (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 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2))
(+ (* -1/2 (* (pow th 2) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) (* 1/24 (* (pow th 2) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (*.f64 th th)))))
(+ (* (pow th 2) (+ (* -1/2 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* -1/720 (* (pow th 2) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))) (* 1/24 (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1/2 (/ (* a2 (pow th 2)) (sqrt 2))) (/ a2 (sqrt 2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* 1/24 (/ (* a2 (pow th 2)) (sqrt 2))))) (/ a2 (sqrt 2)))
(/.f64 (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (/ a2 (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* a2 (pow th 2)) (sqrt 2))) (* 1/24 (/ a2 (sqrt 2))))))) (/ a2 (sqrt 2)))
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a2 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) th) th (*.f64 #s(literal -1/2 binary64) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2))) (/ (pow a1 2) (sqrt 2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+ (* (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)))
(fma.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(+ (* (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 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(cos th)
(cos.f64 th)
(* (cos th) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))

rewrite217.0ms (2.9%)

Memory
9.9MiB live, 392.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
049154
1182154
21507154
08345154
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 422
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 a1)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) a2)
(fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (neg.f64 a2) (neg.f64 a1))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (neg.f64 a2) a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 (neg.f64 a2) a1)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 (neg.f64 a1))) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 (neg.f64 a1))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) (-.f64 a2 a1)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (*.f64 (*.f64 a2 (cos.f64 th)) a2))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 a1) (cos.f64 th))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 (neg.f64 a1) (cos.f64 th))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)) (*.f64 (neg.f64 (*.f64 (neg.f64 a1) (cos.f64 th))) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
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(fma.f64 (/.f64 (*.f64 a2 (neg.f64 a2)) (+.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 a2 (neg.f64 a2)) (-.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
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(fma.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (+.f64 (neg.f64 a2) a1)) (/.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 (neg.f64 a2) a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (+.f64 a2 (neg.f64 a1))) (/.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 (*.f64 a2 a2)) (+.f64 a2 a1)) (/.f64 (neg.f64 (*.f64 a2 a2)) (-.f64 a2 a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 a2) (+.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 a2) (+.f64 (neg.f64 a2) a1)) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 (neg.f64 a2) a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 a2) (+.f64 a2 (neg.f64 a1))) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (neg.f64 a2) (+.f64 a2 a1)) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 a2 a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (*.f64 a2 a2) (+.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (*.f64 a2 a2) (-.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (*.f64 a2 a2) (+.f64 (neg.f64 a2) a1)) (/.f64 (*.f64 a2 a2) (-.f64 (neg.f64 a2) a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (*.f64 a2 a2) (+.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 a2 a2) (-.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 (*.f64 a2 a2) (+.f64 a2 a1)) (/.f64 (*.f64 a2 a2) (-.f64 a2 a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 a2 (+.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 (neg.f64 a2) (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 a2 (+.f64 (neg.f64 a2) a1)) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 (neg.f64 a2) a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 a2 (+.f64 a2 (neg.f64 a1))) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 a2 (neg.f64 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (/.f64 a2 (+.f64 a2 a1)) (/.f64 (pow.f64 a2 #s(literal 3 binary64)) (-.f64 a2 a1)) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a2))) (neg.f64 (neg.f64 (neg.f64 a2))) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a1))) (*.f64 a2 a2))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (exp.f64 (log.f64 a2)) (exp.f64 (log.f64 a2)) (*.f64 a1 a1))
(fma.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 (neg.f64 a2)) (neg.f64 (neg.f64 a2)) (*.f64 a1 a1))
(fma.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)) (*.f64 a2 a2))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 (neg.f64 a2) (neg.f64 a2) (*.f64 a1 a1))
(fma.f64 (neg.f64 a1) (neg.f64 a1) (*.f64 a2 a2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 (neg.f64 (neg.f64 a1)) a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))))))
(-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 a1)))
(-.f64 (*.f64 a2 a2) (*.f64 (neg.f64 a1) a1))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 (neg.f64 a2)) (neg.f64 a2)))
(-.f64 (*.f64 a1 a1) (*.f64 (neg.f64 a2) a2))
(-.f64 (*.f64 a1 a1) (*.f64 a2 (neg.f64 a2)))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 (*.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1))))
(+.f64 (*.f64 a2 a2) (*.f64 (neg.f64 (neg.f64 a1)) a1))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 a1))) (neg.f64 (neg.f64 (neg.f64 a1))))
(*.f64 (exp.f64 (log.f64 a1)) (exp.f64 (log.f64 a1)))
(*.f64 (neg.f64 (neg.f64 a1)) (neg.f64 (neg.f64 a1)))
(*.f64 (neg.f64 a1) (neg.f64 a1))
(*.f64 a1 a1)
(pow.f64 (exp.f64 (log.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 a1)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a1) #s(literal 2 binary64))
(pow.f64 (*.f64 a1 a1) #s(literal 1 binary64))
(pow.f64 a1 #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a1) a1))
(sqrt.f64 (pow.f64 a1 #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 a1) a1))
(fabs.f64 (*.f64 a1 a1))
(exp.f64 (*.f64 (log.f64 (neg.f64 a1)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (neg.f64 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (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) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 a2 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2))
(*.f64 (neg.f64 a2) (*.f64 (neg.f64 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 (cos.f64 th)))
(*.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(/.f64 (neg.f64 (*.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 a2) (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
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(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 #s(literal 2 binary64)))

eval128.0ms (1.7%)

Memory
-0.3MiB live, 279.2MiB allocated; 27ms collecting garbage
Compiler

Compiled 38 192 to 2 874 computations (92.5% saved)

prune35.0ms (0.5%)

Memory
7.7MiB live, 106.7MiB allocated; 7ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New1 091201 111
Fresh10010
Picked325
Done000
Total1 104221 126
Accuracy
100.0%
Counts
1 126 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
58.7%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
99.3%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
▶63.1%
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
65.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
✓65.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
▶99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
▶41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
✓99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
99.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
59.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
▶64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
62.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
Compiler

Compiled 1 330 to 819 computations (38.4% saved)

simplify91.0ms (1.2%)

Memory
2.5MiB live, 142.1MiB allocated; 7ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a2 (cos.f64 th))
cost-diff0
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
cost-diff0
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
cost-diff0
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
cost-diff0
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(*.f64 th th)
cost-diff0
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
cost-diff0
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
cost-diff0
(*.f64 a2 (cos.f64 th))
cost-diff0
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
cost-diff0
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
cost-diff6
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044374
072353
1155349
2444341
31556341
44528341
08538341
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (cos.f64 th))
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(*.f64 (*.f64 a1 (cos.f64 th)) a1)
(*.f64 a1 (cos.f64 th))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
a2
a1
#s(literal 1 binary64)
(*.f64 a1 a1)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (cos.f64 th))
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2))) (cos.f64 th))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1) (cos.f64 th))
(*.f64 (*.f64 a1 (cos.f64 th)) a1)
(*.f64 a1 (cos.f64 th))
a1
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (cos th) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
a2
(*.f64 a1 a1)
a1
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
(*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(/.f64 a2 a1)
a2
a1
#s(literal 1 binary64)
(*.f64 a1 a1)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (cos.f64 th))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(*.f64 a2 (cos.f64 th))
(*.f64 (cos.f64 th) a2)
a2
(cos.f64 th)
th
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize119.0ms (1.6%)

Memory
-14.5MiB live, 228.9MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
accuracy0.14453125
(*.f64 a2 (cos.f64 th))
accuracy0.192456461824548
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.21484375
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.2265625
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
accuracy0.244472509768442
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
accuracy22.17318464263447
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
accuracy24.773029372216072
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
accuracy0.0625
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.19349902887572826
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy0.2265625
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
accuracy32.156672311085316
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy0.140625
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
accuracy0.192456461824548
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy22.17318464263447
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
accuracy0.109375
(*.f64 a1 (cos.f64 th))
accuracy0.14453125
(*.f64 a2 (cos.f64 th))
accuracy0.24123002930532605
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
accuracy0.25685502930532605
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
Samples
94.0ms256×0valid
Compiler

Compiled 290 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-add: 28.0ms (41.2% of total)
ival-mult: 22.0ms (32.3% of total)
ival-div: 10.0ms (14.7% of total)
ival-cos: 6.0ms (8.8% of total)
ival-sqrt: 2.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
24.8MiB live, 71.3MiB allocated; 4ms collecting garbage
Counts
22 → 76
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (cos.f64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(*.f64 a1 (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
Outputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 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)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* a1 (cos th))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 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) (* (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) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (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)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(* (pow a2 2) (cos th))
(* a2 (cos th))
(/ a2 (sqrt 2))
(* (pow a2 2) (+ (* (cos th) (sqrt 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) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(+ (* (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)))))))))))))
(* 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 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))
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))))))
(+ (* (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) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ 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)))
(pow th 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 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))))))))
a1
(+ a1 (* -1/2 (* a1 (pow th 2))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
a2
@inf
((+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (* (* a2 (cos th)) a2) (* a2 (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1)) (* a1 (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1))
3.0ms
th
@inf
((+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (* (* a2 (cos th)) a2) (* a2 (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1)) (* a1 (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1))
3.0ms
a2
@-inf
((+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (* (* a2 (cos th)) a2) (* a2 (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1)) (* a1 (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1))
3.0ms
th
@-inf
((+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (* (* a2 (cos th)) a2) (* a2 (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1)) (* a1 (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1))
3.0ms
a1
@0
((+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (* (* a2 (cos th)) a2) (* a2 (cos th)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* (/ a2 (sqrt 2)) a2) (/ a2 (sqrt 2)) (* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (+ (* (* th th) -1/2) 1) (* th th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (* (+ (* (/ a2 a1) (/ a2 a1)) 1) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1)) (* a1 (cos th)) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* (/ a2 a1) (/ a2 a1)) 1))

simplify166.0ms (2.2%)

Memory
-22.8MiB live, 250.5MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02471430
19761379
247091359
081741244
Stop Event
1×iter limit
1×node limit
Counts
76 → 74
Calls
Call 1
Inputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 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)))))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(* (pow a1 2) (* (cos th) (sqrt 2)))
(* a1 (cos th))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 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) (* (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) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (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)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(* (pow a2 2) (cos th))
(* a2 (cos th))
(/ a2 (sqrt 2))
(* (pow a2 2) (+ (* (cos th) (sqrt 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) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(+ (* (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)))))))))))))
(* 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 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))
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))))))
(+ (* (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) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ 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)))
(pow th 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 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))))))))
a1
(+ a1 (* -1/2 (* a1 (pow th 2))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
Outputs
(* (pow a2 2) (* (cos th) (sqrt 2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2))
(+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(+ (* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2)))) (* 1/2 (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(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)))
(* a1 (cos th))
(*.f64 (cos.f64 th) a1)
(/ (pow a2 2) (pow a1 2))
(*.f64 (/.f64 a2 a1) (/.f64 a2 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(* (pow a1 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a2 2) (* (cos th) (sqrt 2))) (pow a1 2))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))) (*.f64 a1 a1))
(* 1/2 (* (pow a1 2) (* (cos th) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.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 #s(literal 1/2 binary64) (*.f64 a1 a1)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 a2 a2)) (*.f64 a1 a1))))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 a1 a1) (/.f64 (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 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a1 a1))
(/ (pow a1 2) (sqrt 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a2 a2) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(fma.f64 (/.f64 (*.f64 a2 a2) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a1 a1))
1
#s(literal 1 binary64)
(+ 1 (/ (pow a2 2) (pow a1 2)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(* (pow a2 2) (cos th))
(*.f64 (*.f64 (cos.f64 th) a2) a2)
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ (* (cos th) (sqrt 2)) (/ (* (pow a1 2) (* (cos th) (sqrt 2))) (pow a2 2))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th) (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))) (*.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 (*.f64 a1 a1) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) (*.f64 a2 a2))))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 a1 a2) (/.f64 a1 a2) #s(literal 1 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 a2 a2))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/.f64 (fma.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 (/.f64 (*.f64 a1 a1) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 a2 a2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (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 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th))) (*.f64 th th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+ (* 1/2 (* (pow th 2) (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th) (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* 1/2 (+ (* (pow a1 2) (sqrt 2)) (* (pow a2 2) (sqrt 2)))) (* (pow th 2) (+ (* 1/2 (+ (* -1/2 (* (pow a1 2) (sqrt 2))) (* -1/2 (* (pow a2 2) (sqrt 2))))) (* (pow th 2) (+ (* 1/2 (* (pow th 2) (+ (* -1/720 (* (pow a1 2) (sqrt 2))) (* -1/720 (* (pow a2 2) (sqrt 2)))))) (* 1/2 (+ (* 1/24 (* (pow a1 2) (sqrt 2))) (* 1/24 (* (pow a2 2) (sqrt 2))))))))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 th th) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 th th)) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 th th) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+ (* -1/2 (* (pow a2 2) (pow th 2))) (pow a2 2))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))
(+ (* (pow th 2) (+ (* -1/2 (pow a2 2)) (* 1/24 (* (pow a2 2) (pow th 2))))) (pow a2 2))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) th) th (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.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 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) th) th (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)))) (*.f64 th th) (*.f64 a2 a2))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 th th) a2) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a2)) th) th (*.f64 #s(literal -1/2 binary64) a2)) (*.f64 th th) a2)
(+ (* (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 (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.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))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.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 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))))
(+.f64 (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+.f64 (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/2 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (fma.f64 a1 a1 (*.f64 a2 a2))) (*.f64 th th) (*.f64 #s(literal 1/24 binary64) (fma.f64 a1 a1 (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64)))))
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)) th) th) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(pow th 2)
(*.f64 th th)
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.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 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) th) th (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2))) (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 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 (/.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 a2 a2)) (pow.f64 th #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 a2 a2)) th) th (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(* (pow a1 2) (sqrt 2))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1)
(+ (* -1/2 (* (pow a1 2) (* (pow th 2) (sqrt 2)))) (* (pow a1 2) (sqrt 2)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (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)))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1 (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 th th)))
(+ (* (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))))))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 th th) a1) a1)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th th))) (*.f64 th th)))
a1
(+ a1 (* -1/2 (* a1 (pow th 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a1) (*.f64 th th) a1)
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* 1/24 (* a1 (pow th 2))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1)
(+ a1 (* (pow th 2) (+ (* -1/2 a1) (* (pow th 2) (+ (* -1/720 (* a1 (pow th 2))) (* 1/24 a1))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 th th) a1) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) a1)) th) th (*.f64 #s(literal -1/2 binary64) a1)) (*.f64 th th) a1)
(* 1/2 (+ (* (pow a1 2) (* (cos th) (sqrt 2))) (* (pow a2 2) (* (cos th) (sqrt 2)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(cos th)
(cos.f64 th)
(* -1/2 (pow th 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 th th))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) th) th)

rewrite215.0ms (2.9%)

Memory
13.1MiB live, 355.5MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044310
072284
1236280
21714274
09157273
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 573
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(*.f64 (*.f64 a2 (cos.f64 th)) a2)
(*.f64 a2 (cos.f64 th))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))
(*.f64 a1 (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (-.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (*.f64 (*.f64 a1 (cos.f64 th)) a1))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 (cos.f64 th) a2) a2 (*.f64 (*.f64 a1 (cos.f64 th)) a1)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 a1 (cos.f64 th)) a1 (*.f64 (*.f64 (cos.f64 th) a2) a2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2))))))))))
(/.f64 (fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 (cos.f64 th)) a1)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 (cos.f64 th)) a1)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 a1 (cos.f64 th)) a1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) a1)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 (pow.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a2) (*.f64 (cos.f64 th) a2)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) a1)))))))
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(+.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 a1) a1) (*.f64 a1 a1)) (*.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (/.f64 (*.f64 (neg.f64 (neg.f64 a1)) a1) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 a2 a1) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 a2 a1) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 (neg.f64 a2)) a1) (/.f64 (neg.f64 (neg.f64 a2)) a1) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (neg.f64 (neg.f64 a1))) (/.f64 a2 (neg.f64 (neg.f64 a1))) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (/.f64 a2 a1))) (exp.f64 (log.f64 (/.f64 a2 a1))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 a2 a1) a2) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a1))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 a2 a1) a2) (/.f64 #s(literal 1 binary64) a1) #s(literal 1 binary64))
(fma.f64 (neg.f64 a2) (/.f64 a2 (*.f64 (neg.f64 a1) a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (neg.f64 a1)) (*.f64 (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 (neg.f64 a1)) (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 a1) (fabs.f64 (*.f64 (/.f64 a2 (neg.f64 a1)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 a2 (fabs.f64 (/.f64 (/.f64 a2 a1) a1)) #s(literal 1 binary64))
(fma.f64 a2 (/.f64 (/.f64 a2 a1) a1) #s(literal 1 binary64))
(fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 (neg.f64 a1)) (/.f64 a2 a1)))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 (neg.f64 a1))))
(+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 a2 a1) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a2 a1) #s(literal 2 binary64)))

eval84.0ms (1.1%)

Memory
1.6MiB live, 192.4MiB allocated; 29ms collecting garbage
Compiler

Compiled 25 773 to 2 404 computations (90.7% saved)

prune30.0ms (0.4%)

Memory
-21.4MiB live, 79.7MiB allocated; 11ms collecting garbage
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New64810658
Fresh8715
Picked325
Done112
Total66020680
Accuracy
100.0%
Counts
680 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (sqrt 2) (* (* a1 (cos th)) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
▶99.3%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
65.2%
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓65.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
▶41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
33.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
41.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
33.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
▶59.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
✓64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
▶14.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
▶62.8%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
Compiler

Compiled 1 387 to 817 computations (41.1% saved)

simplify121.0ms (1.6%)

Memory
40.8MiB live, 232.3MiB allocated; 12ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff1
(/.f64 #s(literal 1 binary64) (neg.f64 a1))
cost-diff3
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
cost-diff0
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
cost-diff0
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
cost-diff0
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
cost-diff0
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
cost-diff0
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
cost-diff0
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
cost-diff0
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(cos.f64 th)
cost-diff0
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054503
085479
1179473
2530463
31906463
45475463
08301446
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
th
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
a2
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 th th)
th
#s(literal -1/2 binary64)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
(*.f64 (neg.f64 a2) a2)
(neg.f64 a2)
a2
a1
(/.f64 #s(literal 1 binary64) (neg.f64 a1))
#s(literal 1 binary64)
(neg.f64 a1)
(*.f64 a1 a1)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(cos.f64 th)
th
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
a1
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))
(*.f64 th th)
th
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
a2
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
#s(approx (* (cos th) a2) (fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2))
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) a2) (*.f64 th th) a2)
(*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)) a2)
a2
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 th th)
th
#s(literal -1/2 binary64)
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (/.f64 a2 a1) a1) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (/.f64 a2 a1) a1) a2 #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (/.f64 a2 a1) a1) a2 #s(literal 1 binary64)) (*.f64 a1 a1)))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
(*.f64 (fma.f64 (/.f64 (/.f64 a2 a1) a1) a2 #s(literal 1 binary64)) (*.f64 a1 a1))
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 a2 a1) a1) a2 #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
(*.f64 (neg.f64 a2) a2)
(neg.f64 a2)
a2
a1
(/.f64 #s(literal 1 binary64) (neg.f64 a1))
(/.f64 #s(literal -1 binary64) a1)
#s(literal 1 binary64)
(neg.f64 a1)
(*.f64 a1 a1)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize130.0ms (1.7%)

Memory
-28.2MiB live, 257.8MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.6530385900515316
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
accuracy7.997317109878677
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
accuracy22.17318464263447
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
accuracy24.773029372216072
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
accuracy0.30828607918160067
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy1.454477558707699
(*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
accuracy32.108417234064106
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
accuracy0.19349902887572826
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
accuracy0.4296875
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
accuracy3.620600278075013
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
accuracy24.20185293389939
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
accuracy0.15234375
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
accuracy0.3828125
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
accuracy22.17318464263447
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
accuracy53.28550438003771
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
accuracy0.0
(cos.f64 th)
accuracy0.0625
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.19248236806069166
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
accuracy0.2265625
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
Samples
87.0ms256×0valid
Compiler

Compiled 324 to 43 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 29.0ms (45.1% of total)
ival-div: 11.0ms (17.1% of total)
ival-add: 10.0ms (15.5% of total)
ival-cos: 6.0ms (9.3% of total)
const: 4.0ms (6.2% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-neg: 2.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory
-1.9MiB live, 93.4MiB allocated; 14ms collecting garbage
Counts
25 → 63
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ -1 a1)
(* -1 (/ (pow a2 2) a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* a2 (cos th))
(* a2 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))))
(/ a2 (sqrt 2))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* -1 (* a2 (- (* -1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) 1)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ 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)))
(+ (* (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))))
(+ (* -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)))
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))))))
(* -1/2 a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
-1/2
(- (* 1/24 (pow th 2)) 1/2)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* 1/24 (* a2 (pow th 4)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (+ (* 1/24 a2) (/ a2 (pow th 4)))))
(* 1/24 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* 1/24 (pow th 2))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
Calls

9 calls:

TimeVariablePointExpression
13.0ms
a2
@0
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (+ (* (* th th) -1/2) 1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (/ 1 (neg a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ a2 (sqrt 2)) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (* (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (* a1 a1)) (/ (* (neg a2) a2) a1))
9.0ms
th
@inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (+ (* (* th th) -1/2) 1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (/ 1 (neg a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ a2 (sqrt 2)) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (* (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (* a1 a1)) (/ (* (neg a2) a2) a1))
5.0ms
a2
@-inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (+ (* (* th th) -1/2) 1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (/ 1 (neg a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ a2 (sqrt 2)) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (* (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (* a1 a1)) (/ (* (neg a2) a2) a1))
5.0ms
a2
@inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (+ (* (* th th) -1/2) 1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (/ 1 (neg a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ a2 (sqrt 2)) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (* (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (* a1 a1)) (/ (* (neg a2) a2) a1))
3.0ms
a1
@inf
((* (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2))) (cos th) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (+ (* a2 a2) (* a1 a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (* a1 (/ a1 (sqrt 2))) (/ a1 (sqrt 2)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (+ (* (* th th) -1/2) 1) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (* (cos th) a2) (/ a2 (sqrt 2))) (* (cos th) a2) (+ (* (* a2 (+ (* 1/24 (* th th)) -1/2)) (* th th)) a2) (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (/ 1 (neg a1)) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (/ a2 (sqrt 2)) (* a2 (+ (* 1/24 (* th th)) -1/2)) (+ (* 1/24 (* th th)) -1/2) (* (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (* a1 a1)) (/ (* (neg a2) a2) a1))

simplify201.0ms (2.7%)

Memory
0.9MiB live, 280.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0172864
1615830
22559748
08286689
Stop Event
1×iter limit
1×node limit
Counts
63 → 62
Calls
Call 1
Inputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(/ (pow a2 2) (sqrt 2))
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(pow a2 2)
(+ (pow a1 2) (pow a2 2))
(/ (pow a1 2) (sqrt 2))
(/ a1 (sqrt 2))
(/ (pow a2 2) (pow a1 2))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/ -1 a1)
(* -1 (/ (pow a2 2) a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(pow a1 2)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
1
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(* a2 (cos th))
(* a2 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))))
(/ a2 (sqrt 2))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(* -1 (* a2 (- (* -1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) 1)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(+ 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)))
(+ (* (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))))
(+ (* -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)))
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))))))
(* -1/2 a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
-1/2
(- (* 1/24 (pow th 2)) 1/2)
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(cos th)
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(* -1/2 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(* 1/24 (* a2 (pow th 4)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (+ (* 1/24 a2) (/ a2 (pow th 4)))))
(* 1/24 (* a2 (pow th 2)))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(* 1/24 (pow th 2))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
Outputs
(/ (* (pow a2 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(+ (/ (* (pow a1 2) (cos th)) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (sqrt 2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/ (pow a2 2) (sqrt 2))
(*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)
(+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2)))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(pow a2 2)
(*.f64 a2 a2)
(+ (pow a1 2) (pow a2 2))
(fma.f64 a1 a1 (*.f64 a2 a2))
(/ (pow a1 2) (sqrt 2))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(/ a1 (sqrt 2))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(/ (pow a2 2) (pow a1 2))
(*.f64 (/.f64 a2 a1) (/.f64 a2 a1))
(/ (+ (pow a1 2) (pow a2 2)) (pow a1 2))
(/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a1)
(/ -1 a1)
(/.f64 #s(literal -1 binary64) a1)
(* -1 (/ (pow a2 2) a1))
(*.f64 (neg.f64 a2) (/.f64 a2 a1))
(/ (* (pow a1 2) (cos th)) (sqrt 2))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a2 2) (cos th)) (* (pow a1 2) (sqrt 2)))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a1 2) (+ (/ 1 (sqrt 2)) (/ (pow a2 2) (* (pow a1 2) (sqrt 2)))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(pow a1 2)
(*.f64 a1 a1)
(* (pow a1 2) (+ 1 (/ (pow a2 2) (pow a1 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
1
#s(literal 1 binary64)
(+ 1 (/ (pow a2 2) (pow a1 2)))
(/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a1)
(/ (* (pow a2 2) (+ 1 (* -1/2 (pow th 2)))) (sqrt 2))
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(* a2 (cos th))
(*.f64 (cos.f64 th) a2)
(* a2 (+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))))
(fma.f64 (*.f64 a2 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) a2)
(/ a2 (sqrt 2))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(* a2 (- (* 1/24 (pow th 2)) 1/2))
(*.f64 a2 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64)))
(* (pow a2 2) (+ (/ (cos th) (sqrt 2)) (/ (* (pow a1 2) (cos th)) (* (pow a2 2) (sqrt 2)))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(* (pow a2 2) (+ (/ 1 (sqrt 2)) (/ (pow a1 2) (* (pow a2 2) (sqrt 2)))))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow a2 2) (+ 1 (/ (pow a1 2) (pow a2 2))))
(fma.f64 a1 a1 (*.f64 a2 a2))
(* (pow a2 2) (+ (/ 1 (pow a1 2)) (/ 1 (pow a2 2))))
(/.f64 (fma.f64 a2 (/.f64 a2 a1) a1) a1)
(* -1 (* a2 (- (* -1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2))) 1)))
(*.f64 (neg.f64 a2) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) th) (neg.f64 th)) #s(literal 1 binary64)))
(/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1/2 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* 1/24 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+ (* (pow th 2) (+ (* -1/2 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))) (* (pow th 2) (+ (* -1/720 (/ (* (pow th 2) (+ (pow a1 2) (pow a2 2))) (sqrt 2))) (* 1/24 (/ (+ (pow a1 2) (pow a2 2)) (sqrt 2))))))) (+ (/ (pow a1 2) (sqrt 2)) (/ (pow a2 2) (sqrt 2))))
(fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+ 1 (* -1/2 (pow th 2)))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* 1/24 (pow th 2)) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) (*.f64 th th) #s(literal 1 binary64))
(+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/24 (* -1/720 (pow th 2)))) 1/2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th (-.f64 (*.f64 (pow.f64 th #s(literal 4 binary64)) #s(literal -1/720 binary64)) #s(literal 1/2 binary64))) (*.f64 th th) #s(literal 1 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 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.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))))
(fma.f64 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a1 a1 (*.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 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 (pow.f64 th #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))) (/ (pow a2 2) (sqrt 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) (/.f64 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)))
(fma.f64 (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(+ (* (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 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2) (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64)))))
a2
(+ a2 (* -1/2 (* a2 (pow th 2))))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))))
(fma.f64 (*.f64 a2 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) a2)
(+ a2 (* (pow th 2) (+ (* -1/2 a2) (* (pow th 2) (+ (* -1/720 (* a2 (pow th 2))) (* 1/24 a2))))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a2) th) th (fma.f64 (pow.f64 th #s(literal 4 binary64)) (*.f64 a2 (fma.f64 #s(literal -1/720 binary64) (*.f64 th th) #s(literal 1/24 binary64))) a2))
(* -1/2 a2)
(*.f64 #s(literal -1/2 binary64) a2)
(+ (* -1/2 a2) (* 1/24 (* a2 (pow th 2))))
(*.f64 a2 (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow th 2)) 1/2)
(-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 th th)) #s(literal 1/2 binary64))
(/ (* (cos th) (+ (pow a1 2) (pow a2 2))) (sqrt 2))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(cos th)
(cos.f64 th)
(* -1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th)
(* (pow th 2) (+ (* -1/2 (/ (pow a2 2) (sqrt 2))) (/ (pow a2 2) (* (pow th 2) (sqrt 2)))))
(*.f64 (/.f64 (fma.f64 a2 (/.f64 a2 (*.f64 th th)) (*.f64 (*.f64 #s(literal -1/2 binary64) a2) a2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th))
(* -1/2 (pow th 2))
(*.f64 (*.f64 th th) #s(literal -1/2 binary64))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/2 binary64)) th) th)
(* 1/24 (* a2 (pow th 4)))
(*.f64 (*.f64 (pow.f64 th #s(literal 4 binary64)) a2) #s(literal 1/24 binary64))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(*.f64 (*.f64 a2 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal -1/24 binary64))) (pow.f64 th #s(literal 4 binary64)))
(* (pow th 4) (+ (* -1/2 (/ a2 (pow th 2))) (+ (* 1/24 a2) (/ a2 (pow th 4)))))
(*.f64 (fma.f64 a2 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal -1/24 binary64)) (/.f64 a2 (pow.f64 th #s(literal 4 binary64)))) (pow.f64 th #s(literal 4 binary64)))
(* 1/24 (* a2 (pow th 2)))
(*.f64 (*.f64 (*.f64 th th) a2) #s(literal 1/24 binary64))
(* (pow th 2) (+ (* -1/2 (/ a2 (pow th 2))) (* 1/24 a2)))
(*.f64 (*.f64 a2 (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 th th)) #s(literal -1/24 binary64))) (*.f64 th th))
(* 1/24 (pow th 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 th th))
(* (pow th 2) (- 1/24 (* 1/2 (/ 1 (pow th 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 th th))) th) th)

rewrite222.0ms (3%)

Memory
24.1MiB live, 365.3MiB allocated; 78ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054420
085396
1278383
21943383
09160368
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 327
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(cos.f64 th)
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
(*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))
(fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2))
(fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)
(fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 a1))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
Outputs
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 (sin.f64 th) #s(literal 0 binary64) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 th) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(sin.f64 (+.f64 (neg.f64 (neg.f64 th)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (neg.f64 th) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) th))
(cos.f64 (neg.f64 (neg.f64 (neg.f64 th))))
(cos.f64 (neg.f64 (neg.f64 th)))
(cos.f64 (neg.f64 th))
(cos.f64 th)
(+.f64 (*.f64 (sin.f64 (neg.f64 th)) #s(literal 0 binary64)) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 th)) (*.f64 #s(literal 0 binary64) (sin.f64 th)))
(+.f64 (*.f64 (sin.f64 th) #s(literal 0 binary64)) (*.f64 (cos.f64 th) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)))
#s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1))
(*.f64 (/.f64 (neg.f64 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (neg.f64 a1) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 (neg.f64 a1) (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 a1 a1) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 a1) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 a1) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 a1 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 a1) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 a2 a2) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64))) a2)
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 a1 a1))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a1 a1)) (-.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 a1 a1)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 a1 a1) (-.f64 (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (/.f64 (pow.f64 a2 #s(literal 6 binary64)) (pow.f64 a1 #s(literal 6 binary64))) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))))
(fma.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) (*.f64 a1 a1) (*.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(fma.f64 #s(literal 1 binary64) (*.f64 a1 a1) (*.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) (*.f64 (*.f64 a1 a1) #s(literal 1 binary64)))
(fma.f64 (*.f64 a1 a1) #s(literal 1 binary64) (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) (*.f64 a1 a1)) (*.f64 #s(literal 1 binary64) (*.f64 a1 a1)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 a1 a1)) (*.f64 (*.f64 (/.f64 a2 a1) (/.f64 a2 a1)) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 (*.f64 a1 a1) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 a1 a1) #s(literal 1 binary64)) (*.f64 (*.f64 a1 a1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))))
(*.f64 (/.f64 a2 a1) (neg.f64 a2))
(*.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) #s(literal 1 binary64))
(*.f64 (neg.f64 a2) (*.f64 (/.f64 a2 a1) #s(literal 1 binary64)))
(*.f64 (neg.f64 a2) (/.f64 a2 a1))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a2) a2) a1))
(*.f64 a2 (/.f64 (neg.f64 a2) a1))
(/.f64 (*.f64 (*.f64 a2 a2) #s(literal 1 binary64)) (neg.f64 a1))
(/.f64 (*.f64 (neg.f64 a2) a2) a1)
(/.f64 (*.f64 a2 a2) (neg.f64 a1))
(neg.f64 (*.f64 a2 (/.f64 a2 a1)))
(neg.f64 (/.f64 (*.f64 a2 a2) a1))

eval109.0ms (1.4%)

Memory
-21.9MiB live, 161.6MiB allocated; 48ms collecting garbage
Compiler

Compiled 18 534 to 1 955 computations (89.5% saved)

prune85.0ms (1.1%)

Memory
14.0MiB live, 62.2MiB allocated; 2ms collecting garbage
Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New3806386
Fresh11112
Picked235
Done033
Total38323406
Accuracy
100.0%
Counts
406 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (sqrt 2) (* (* a1 (cos th)) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
✓99.3%
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
99.3%
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
65.2%
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
65.0%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
✓65.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
✓99.3%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
30.2%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
33.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
52.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
41.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
14.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
33.5%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
61.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
✓59.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
41.7%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
✓64.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
✓14.1%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
19.4%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
20.9%
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
Compiler

Compiled 2 587 to 792 computations (69.4% saved)

regimes151.0ms (2%)

Memory
69.4MiB live, 250.5MiB allocated; 80ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) #s(approx (* (sqrt 2) (* (* a1 (cos th)) a1)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) a1) a1))) #s(literal 2 binary64))
(*.f64 (cos.f64 th) (fma.f64 a2 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 a1 (cos.f64 th)) a1))) #s(literal 2 binary64))
(fma.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))) a2 (*.f64 (*.f64 a1 (cos.f64 th)) (/.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 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 a2)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

27.0ms
(*.f64 a2 a2)
26.0ms
a1
26.0ms
(cos.f64 th)
17.0ms
th
16.0ms
(+.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
99.6%1(*.f64 a2 a2)
99.6%1(*.f64 a1 a1)
99.6%1(cos.f64 th)
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
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%1a1
99.6%1a2
99.6%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes121.0ms (1.6%)

Memory
-11.4MiB live, 197.2MiB allocated; 54ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
Calls

8 calls:

31.0ms
th
20.0ms
a1
17.0ms
(*.f64 a1 a1)
16.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
9.0ms
a2
Results
AccuracySegmentsBranch
99.4%1(*.f64 a2 a2)
99.4%1(*.f64 a1 a1)
99.4%1(cos.f64 th)
99.4%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.4%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.4%1a1
99.4%1a2
99.4%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes301.0ms (4%)

Memory
13.5MiB live, 230.2MiB allocated; 188ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) (cos.f64 th)) a2))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) a2) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 a2)) (neg.f64 a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
Calls

8 calls:

152.0ms
th
62.0ms
a2
38.0ms
(*.f64 a2 a2)
12.0ms
a1
10.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.3%1(*.f64 a2 a2)
99.3%1(*.f64 a1 a1)
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.3%1a1
99.3%1a2
99.3%1th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes65.0ms (0.9%)

Memory
24.5MiB live, 164.4MiB allocated; 8ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Outputs
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
Calls

8 calls:

10.0ms
a2
9.0ms
(*.f64 a1 a1)
8.0ms
(+.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)))
8.0ms
a1
8.0ms
th
Results
AccuracySegmentsBranch
99.3%1(*.f64 a2 a2)
99.3%1a1
99.3%1a2
99.3%1th
99.3%1(*.f64 a1 a1)
99.3%1(cos.f64 th)
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.3%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes63.0ms (0.8%)

Memory
-11.4MiB live, 130.9MiB allocated; 10ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 #s(approx (+ (* (* th th) -1/2) 1) (*.f64 (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (*.f64 #s(approx (* a2 (cos th)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th th)) a2 a2)) a2) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (* (* a2 (cos th)) a2) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a2 a2)) th) th (*.f64 a2 a2))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 th th) #s(literal 1 binary64)) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(approx (cos th) (fma.f64 (*.f64 th th) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 a2 a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 a1 a1))) #s(literal 2 binary64)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 #s(approx (* (cos th) a2) (fma.f64 (*.f64 a2 (fma.f64 #s(literal 1/24 binary64) (*.f64 th th) #s(literal -1/2 binary64))) (*.f64 th th) a2)) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 a2 (/.f64 a2 (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ a2 a1) (/ a2 a1)) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 #s(approx (+ (* (/ (* (neg a2) a2) a1) (/ 1 (neg a1))) 1) (*.f64 (/.f64 a2 a1) (/.f64 a2 a1))) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) a1) a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 a2 a1) (/.f64 a2 a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (/.f64 #s(literal -1 binary64) (*.f64 a1 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal -1 binary64) a1) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 a2) a2) a1) (/.f64 #s(literal 1 binary64) (neg.f64 a1)) #s(literal 1 binary64)) (*.f64 a1 a1))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (fma.f64 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) th) th #s(literal -1/2 binary64))) (*.f64 th th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

10.0ms
th
8.0ms
(+.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)))
8.0ms
(cos.f64 th)
7.0ms
a2
7.0ms
a1
Results
AccuracySegmentsBranch
66.8%2(*.f64 a2 a2)
67.2%2(*.f64 a1 a1)
77.5%2(cos.f64 th)
77.5%2(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
77.8%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)))
67.2%2a1
67.9%2a2
66.8%2th
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes22.0ms (0.3%)

Memory
-7.3MiB live, 39.7MiB allocated; 2ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
Calls

8 calls:

6.0ms
a1
2.0ms
th
2.0ms
a2
2.0ms
(cos.f64 th)
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
65.2%1th
65.2%1(*.f64 a2 a2)
65.2%1(*.f64 a1 a1)
65.2%1a1
65.2%1a2
65.2%1(cos.f64 th)
65.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes38.0ms (0.5%)

Memory
-9.6MiB live, 39.0MiB allocated; 5ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
Outputs
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
Calls

8 calls:

23.0ms
(*.f64 a1 a1)
2.0ms
a2
2.0ms
a1
2.0ms
th
2.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
65.2%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
65.2%1(*.f64 a1 a1)
65.2%1a1
65.2%1(cos.f64 th)
65.2%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
65.2%1th
65.2%1(*.f64 a2 a2)
65.2%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes18.0ms (0.2%)

Memory
-3.3MiB live, 41.9MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 #s(approx (+ (* a2 a2) (* a1 a1)) (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
Calls

8 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)))
2.0ms
a1
2.0ms
th
2.0ms
a2
2.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
64.9%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)))
64.9%1(*.f64 a1 a1)
64.9%1(cos.f64 th)
64.9%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
64.9%1a1
64.9%1th
64.9%1(*.f64 a2 a2)
64.9%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes9.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

1.0ms
a2
1.0ms
th
1.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
1.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
1.0ms
a1
Results
AccuracySegmentsBranch
14.1%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)))
14.1%1(*.f64 a1 a1)
14.1%1a1
14.1%1(cos.f64 th)
14.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
14.1%1th
14.1%1(*.f64 a2 a2)
14.1%1a2
Compiler

Compiled 35 to 40 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.0638563302157385e-141
-8.4062169365743e-149
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify65.0ms (0.9%)

Memory
2.6MiB live, 93.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077307
1152301
2402295
31284295
44105295
57787295
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 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 -3432398830065305/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th)))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 (/.f64 (*.f64 a2 a2) #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (/.f64 a2 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a2 a2)) (*.f64 (sqrt.f64 #s(literal 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 -3432398830065305/858099707516326214372737599885174152158679412517913176174307932398192897924707006515319955082681819372162038923935107254640248499964580476571753536389382144 binary64)) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (* (* (cos th) a2) (/ a2 (sqrt 2))) #s(approx (* (+ (* (* th th) -1/2) 1) (* (/ a2 (sqrt 2)) a2)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)) th) th)))) #s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (+ (* (* (* a2 (cos th)) a2) (sqrt 2)) (* (sqrt 2) (* (* a1 (cos th)) a1))) 2) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2))))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 (/.f64 a2 (sqrt.f64 #s(literal 2 binary64))) a2)))
#s(approx (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) #s(approx (/ (+ (* a2 a2) (* a1 a1)) (sqrt 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))))

derivations1.1s (14.8%)

Memory
26.6MiB live, 1 011.6MiB allocated; 199ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031180
049154
1182154
21507154
08345154
0111543
1388508
21688439
35754424
08567387
01244
02038
17238
250538
3707938
0882237
02471430
19761379
247091359
081741244
0178991
1678842
22800771
08073704
0172864
1615830
22559748
08286689
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 349 to 79 computations (77.4% saved)

preprocess62.0ms (0.8%)

Memory
-21.8MiB live, 67.6MiB allocated; 14ms collecting garbage
Remove

(sort a1 a2)

(abs a1)

(abs a2)

(abs th)

Compiler

Compiled 832 to 262 computations (68.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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