Optimal throwing angle

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze60.0ms (1.8%)

Memory
-24.6MiB live, 78.3MiB allocated; 41ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.4s (40.4%)

Memory
30.5MiB live, 2 004.8MiB allocated; 366ms collecting garbage
Samples
963.0ms8 256×0valid
38.0ms122×0invalid
Precisions
Click to see histograms. Total time spent on operations: 610.0ms
ival-mult: 203.0ms (33.3% of total)
const: 124.0ms (20.3% of total)
ival-atan: 99.0ms (16.2% of total)
ival-div: 63.0ms (10.3% of total)
ival-sqrt: 62.0ms (10.2% of total)
ival-sub: 48.0ms (7.9% of total)
exact: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain175.0ms (5.2%)

Memory
24.4MiB live, 259.7MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
910-0-(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
00-0-(*.f64 v v)
00-0-(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
00-0-(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
00-0-(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
00-0-H
00-0-#s(literal 49/5 binary64)
00-0-(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))oflow-rescue910
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow91
(*.f64 v v)overflow90
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)overflow1
Confusion
Predicted +Predicted -
+913
-0162
Precision
1.0
Recall
0.9680851063829787
Confusion?
Predicted +Predicted MaybePredicted -
+9103
-00162
Precision?
1.0
Recall?
0.9680851063829787
Freqs
test
numberfreq
0165
191
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms502×0valid
6.0ms10×5exit
Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 11.0ms (25.5% of total)
ival-atan: 9.0ms (20.9% of total)
const: 8.0ms (18.6% of total)
ival-sqrt: 7.0ms (16.2% of total)
ival-div: 4.0ms (9.3% of total)
ival-sub: 2.0ms (4.6% of total)
adjust: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess274.0ms (8.2%)

Memory
-30.2MiB live, 202.4MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03272
17070
216570
344670
4108770
5251870
6717570
01111
01911
13011
25311
310011
414911
522911
668611
7480411
0853510
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

series37.0ms (1.1%)

Memory
3.9MiB live, 58.7MiB allocated; 10ms collecting garbage
Counts
11 → 56
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
22.0ms
H
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
4.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
3.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
3.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)
2.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) v (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* v v) (* (* 2 49/5) H) (* 2 49/5) 2 49/5 H)

rewrite88.0ms (2.6%)

Memory
-5.5MiB live, 130.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03851823
021101696
Stop Event
iter limit
iter limit
node limit
Counts
67 → 88
Calls
Call 1
Inputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(/ v (sqrt (- (* v v) (* (* 2 49/5) H))))
v
(sqrt (- (* v v) (* (* 2 49/5) H)))
(- (* v v) (* (* 2 49/5) H))
(* v v)
(* (* 2 49/5) H)
(* 2 49/5)
2
49/5
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 49/5 binary64) H))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64)) v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -2401/50 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64))) H #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (*.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal -3 binary64)))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* (* 2 49/5) H) (*.f64 H #s(literal 98/5 binary64)))
#s(approx H H)
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval20.0ms (0.6%)

Memory
-19.5MiB live, 33.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 408 to 551 computations (77.1% saved)

prune8.0ms (0.2%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090
Accuracy
99.6%
Counts
90 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
36.0%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
57.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)))))
37.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
42.9%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
37.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
37.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
64.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
Compiler

Compiled 386 to 296 computations (23.3% saved)

series22.0ms (0.7%)

Memory
-10.2MiB live, 35.7MiB allocated; 3ms collecting garbage
Counts
30 → 126
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))
v
(sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 v v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H))
(*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)
(-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))
(/.f64 (*.f64 v v) H)
#s(literal 98/5 binary64)
Outputs
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 -98/5))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (pow v 2)))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
H
@-inf
((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (/ (* v v) H) 98/5) H) (- (/ (* v v) H) 98/5) (/ (* v v) H) 98/5)
4.0ms
v
@-inf
((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (/ (* v v) H) 98/5) H) (- (/ (* v v) H) 98/5) (/ (* v v) H) 98/5)
3.0ms
v
@0
((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (/ (* v v) H) 98/5) H) (- (/ (* v v) H) 98/5) (/ (* v v) H) 98/5)
3.0ms
H
@inf
((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (/ (* v v) H) 98/5) H) (- (/ (* v v) H) 98/5) (/ (* v v) H) 98/5)
2.0ms
v
@inf
((atan (/ v (sqrt (+ (* H -98/5) (* v v))))) (/ v (sqrt (+ (* H -98/5) (* v v)))) v (sqrt (+ (* H -98/5) (* v v))) (+ (* H -98/5) (* v v)) H -98/5 (* v v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) 49/5 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (/ (* v v) H) 98/5) H) (- (/ (* v v) H) 98/5) (/ (* v v) H) 98/5)

rewrite89.0ms (2.7%)

Memory
20.7MiB live, 111.5MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04874108
023463811
Stop Event
iter limit
iter limit
node limit
Counts
156 → 198
Calls
Call 1
Inputs
(atan (/ v (sqrt (+ (* H -98/5) (* v v)))))
(/ v (sqrt (+ (* H -98/5) (* v v))))
v
(sqrt (+ (* H -98/5) (* v v)))
(+ (* H -98/5) (* v v))
H
-98/5
(* v v)
(atan #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
-1
(atan #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* (/ H (* v v)) 49/5) 1))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* (/ H (* v v)) 49/5) 1)))
(+ (* (/ H (* v v)) 49/5) 1)
(/ H (* v v))
49/5
1
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
(* -98/5 H)
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (/ (* v v) H) 98/5) H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (/ (* v v) H) 98/5) H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (/ (* v v) H) 98/5) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (/ (* v v) H) 98/5) H)))
(* (- (/ (* v v) H) 98/5) H)
(- (/ (* v v) H) 98/5)
(/ (* v v) H)
98/5
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx v #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 -98/5))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (pow v 2)))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* -98/5 H) #s(hole binary64 (* -98/5 H)))
#s(approx (- (/ (* v v) H) 98/5) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (atan (/ v (sqrt (+ (* H -98/5) (* v v))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (+ (* H -98/5) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (+ (* H -98/5) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* H -98/5) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (- (/ (* v v) H) 98/5) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H))) (fma.f64 v v (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 #s(literal 98/5 binary64) H) (*.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
H
#s(literal -98/5 binary64)
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))))
(+.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))))
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))
(+.f64 (/.f64 (*.f64 v v) H) #s(literal -98/5 binary64))
(*.f64 v (/.f64 v H))
(/.f64 (neg.f64 (*.f64 v v)) (neg.f64 H))
(/.f64 (*.f64 v v) H)
#s(literal 98/5 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -5/98 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 H #s(literal -4 binary64)) #s(literal 625/92236816 binary64) (/.f64 (*.f64 #s(literal 25/19208 binary64) (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64)))) (*.f64 #s(literal -5/98 binary64) H))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H) (*.f64 (/.f64 (fma.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 H #s(literal -3 binary64)) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 H)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx v v)
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 v v) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal -3 binary64)))) (*.f64 v v))) (*.f64 v v) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
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#s(approx (- (/ (* v v) H) 98/5) #s(literal -98/5 binary64))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) v)
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) v)
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#s(approx H H)
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#s(approx (* -98/5 H) (*.f64 #s(literal -98/5 binary64) H))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -5/98 binary64)) #s(literal 625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) v) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 #s(literal -98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
#s(approx (* (- (/ (* v v) H) 98/5) H) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (- (/ (* v v) H) 98/5) H) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval28.0ms (0.8%)

Memory
-0.9MiB live, 49.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 665 to 867 computations (81.4% saved)

prune34.0ms (1%)

Memory
-24.0MiB live, 23.0MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1735178
Fresh235
Picked145
Done000
Total17612188
Accuracy
99.6%
Counts
188 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
57.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
46.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))))
57.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H)))))
37.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
42.9%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
37.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
37.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
64.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
Compiler

Compiled 506 to 354 computations (30% saved)

series52.0ms (1.6%)

Memory
-6.3MiB live, 83.9MiB allocated; 9ms collecting garbage
Counts
45 → 196
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
(atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(/.f64 H v)
#s(literal -49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H))
(*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H)
(-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64))
(*.f64 v (/.f64 v H))
(/.f64 v H)
#s(literal 98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))))
(-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64))
(pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64))
(/.f64 (*.f64 v v) H)
#s(literal 3 binary64)
#s(literal 941192/125 binary64)
(fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))
(+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))
#s(literal 9604/25 binary64)
(*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 -98/5))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (* v (/ v H)) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ v H) #s(hole binary64 (/ v H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 -98/5))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 -941192/125))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 (- (/ (pow v 6) (pow H 3)) 941192/125)))
#s(approx (pow (/ (* v v) H) 3) #s(hole binary64 (/ (pow v 6) (pow H 3))))
#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 9604/25))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* 98/5 (/ (pow v 2) H)))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* (pow v 2) (+ (* 98/5 (/ 1 H)) (/ (pow v 2) (pow H 2)))))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 9604/25))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (+ 9604/25 (* 98/5 (/ (pow v 2) H)))))
#s(approx (* (/ (* v v) H) 98/5) #s(hole binary64 (* 98/5 (/ (pow v 2) H))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 1))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 v))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (pow v 2)))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (pow v 2)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (- (+ 1 (* -1 (/ (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))) (pow v 4)))) (* 98/5 (/ H (pow v 2)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (- (+ 1 (* 98/5 (/ (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ (+ (* -9604/25 H) (* 9604/25 H)) (pow v 4))) (/ 1 H)) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (+ (* 98/5 (/ (* H (+ (* -9604/25 H) (* 9604/25 H))) (pow v 6))) (/ 1 H)) (+ (* -9604/25 (/ H (pow v 4))) (+ (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2)))))))))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 (/ (pow v 6) (pow H 3))))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow H 3)) (* 941192/125 (/ 1 (pow v 6)))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (pow v 4) (pow H 2))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (* (pow v 4) (+ (* 98/5 (/ 1 (* H (pow v 2)))) (/ 1 (pow H 2))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (* (pow v 4) (+ (/ 1 (pow H 2)) (+ (/ 98/5 (* H (pow v 2))) (/ 9604/25 (pow v 4)))))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (* 98/5 (/ (pow v 2) H))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (* (pow v 2) (+ (* 98/5 (/ 1 H)) (* 9604/25 (/ 1 (pow v 2)))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 -1))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 (/ (+ (* -941192/125 (pow H 3)) (pow v 6)) (pow H 3))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (+ (* 98/5 (* H (pow v 2))) (pow v 4)) (pow H 2))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (+ (* H (+ (* 98/5 (pow v 2)) (* 9604/25 H))) (pow v 4)) (pow H 2))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (/ (+ (* 98/5 (pow v 2)) (* 9604/25 H)) H)))
#s(approx (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2))))))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2)))))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (+ (* -5/98 (/ (pow v 4) H)) (* 5/98 (/ (pow v 4) H))) (pow v 2)) H)) 98/5)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)) 98/5)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
H
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (* v (/ v H)) 98/5) H) (- (* v (/ v H)) 98/5) (* v (/ v H)) (/ v H) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (/ (* v v) H) 3) 941192/125) (pow (/ (* v v) H) 3) (/ (* v v) H) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) 9604/25 (* (/ (* v v) H) 98/5))
7.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (* v (/ v H)) 98/5) H) (- (* v (/ v H)) 98/5) (* v (/ v H)) (/ v H) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (/ (* v v) H) 3) 941192/125) (pow (/ (* v v) H) 3) (/ (* v v) H) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) 9604/25 (* (/ (* v v) H) 98/5))
6.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (* v (/ v H)) 98/5) H) (- (* v (/ v H)) 98/5) (* v (/ v H)) (/ v H) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (/ (* v v) H) 3) 941192/125) (pow (/ (* v v) H) 3) (/ (* v v) H) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) 9604/25 (* (/ (* v v) H) 98/5))
6.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (* v (/ v H)) 98/5) H) (- (* v (/ v H)) 98/5) (* v (/ v H)) (/ v H) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (/ (* v v) H) 3) 941192/125) (pow (/ (* v v) H) 3) (/ (* v v) H) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) 9604/25 (* (/ (* v v) H) 98/5))
6.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) 1 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (/ H v) -49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (- (* v (/ v H)) 98/5) H) (- (* v (/ v H)) 98/5) (* v (/ v H)) (/ v H) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (/ (* v v) H) 3) 941192/125) (pow (/ (* v v) H) 3) (/ (* v v) H) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) 9604/25 (* (/ (* v v) H) 98/5))

rewrite214.0ms (6.4%)

Memory
13.9MiB live, 203.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08586186
046875757
Stop Event
iter limit
iter limit
node limit
Counts
241 → 337
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v))))
(atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v))
(* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)
(sqrt (pow (+ (* -98/5 H) (* v v)) -1))
(pow (+ (* -98/5 H) (* v v)) -1)
(+ (* -98/5 H) (* v v))
-98/5
H
(* v v)
v
-1
(atan #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
1
(atan (/ v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (/ H v) -49/5) v)))))
(/ v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (/ H v) -49/5) v))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (/ H v) -49/5) v)))
(+ (* (/ H v) -49/5) v)
(/ H v)
-49/5
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (* v (/ v H)) 98/5) H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (* v (/ v H)) 98/5) H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (* v (/ v H)) 98/5) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (- (* v (/ v H)) 98/5) H)))
(* (- (* v (/ v H)) 98/5) H)
(- (* v (/ v H)) 98/5)
(* v (/ v H))
(/ v H)
98/5
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)))
(* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)
(/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))))
(- (pow (/ (* v v) H) 3) 941192/125)
(pow (/ (* v v) H) 3)
(/ (* v v) H)
3
941192/125
(+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))
(+ 9604/25 (* (/ (* v v) H) 98/5))
9604/25
(* (/ (* v v) H) 98/5)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (/ H v) #s(hole binary64 (/ H v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 -98/5))
#s(approx (- (* v (/ v H)) 98/5) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (* v (/ v H)) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ v H) #s(hole binary64 (/ v H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 -98/5))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 -941192/125))
#s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(hole binary64 (- (/ (pow v 6) (pow H 3)) 941192/125)))
#s(approx (pow (/ (* v v) H) 3) #s(hole binary64 (/ (pow v 6) (pow H 3))))
#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 9604/25))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* 98/5 (/ (pow v 2) H)))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* (pow v 2) (+ (* 98/5 (/ 1 H)) (/ (pow v 2) (pow H 2)))))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 9604/25))
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#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
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#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2)))))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (- (* v (/ v H)) 98/5) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)))))))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)))))))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (+ (* -5/98 (/ (pow v 4) H)) (* 5/98 (/ (pow v 4) H))) (pow v 2)) H)) 98/5)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)) 98/5)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H)))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 (neg.f64 v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))
(/.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (-.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (*.f64 v v)) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))
(/.f64 (+.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 3 binary64))) (fma.f64 v v (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (*.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(-.f64 v (*.f64 #s(literal 49/5 binary64) (/.f64 H v)))
(+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(/.f64 (neg.f64 H) (neg.f64 v))
(/.f64 H v)
#s(literal -49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H))))
(pow.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H))
(*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)
(*.f64 H (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) H) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64)))
(fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64))) (/.f64 #s(literal 941192/125 binary64) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64))))
(-.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64))
(+.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))
(*.f64 (/.f64 v H) v)
(*.f64 v (/.f64 v H))
(/.f64 (neg.f64 (*.f64 v v)) (neg.f64 H))
(/.f64 (*.f64 v v) H)
(/.f64 (neg.f64 v) (neg.f64 H))
(/.f64 v H)
#s(literal 98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H))))
(pow.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H))
(*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)
(*.f64 H (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) H) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (+.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) #s(literal 9604/25 binary64)))
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#s(approx H H)
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#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
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#s(approx (sqrt (pow (+ (* -98/5 H) (* v v)) -1)) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H) #s(literal -1 binary64) #s(literal 5/98 binary64)) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 #s(literal 125/941192 binary64) (pow.f64 v #s(literal 4 binary64)))) H) #s(literal -1 binary64) (*.f64 #s(literal -25/9604 binary64) (*.f64 v v))) H) #s(literal -1 binary64) #s(literal 5/98 binary64)) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))) (/.f64 (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (pow.f64 H #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64) (pow.f64 H #s(literal -1 binary64))) H))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* (/ H v) -49/5) v) (neg.f64 (*.f64 (fma.f64 (/.f64 v H) #s(literal -1 binary64) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 v v (neg.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64)))) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 v v (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64))) #s(literal -5/98 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 0 binary64))) H))) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64)) (*.f64 v v)) H) #s(literal -1 binary64) #s(literal -98/5 binary64)))
#s(approx (/ (- (pow (/ (* v v) H) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64))) #s(literal 5/98 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 0 binary64))) H)) (*.f64 v v)) H) #s(literal -1 binary64) #s(literal -98/5 binary64)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -98/5 binary64) (neg.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H))) H) #s(literal -1 binary64) #s(literal 9604/25 binary64)))

eval57.0ms (1.7%)

Memory
-7.4MiB live, 132.0MiB allocated; 20ms collecting garbage
Compiler

Compiled 15 756 to 2 277 computations (85.5% saved)

prune13.0ms (0.4%)

Memory
40.4MiB live, 40.4MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New3606366
Fresh123
Picked325
Done044
Total36414378
Accuracy
100.0%
Counts
378 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
57.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
46.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))))
33.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 #s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(literal -941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
37.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
42.9%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
35.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
37.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
37.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
64.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
37.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 635 to 437 computations (31.2% saved)

series56.0ms (1.7%)

Memory
-35.6MiB live, 111.2MiB allocated; 13ms collecting garbage
Counts
52 → 224
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v))
(/.f64 v H)
(/.f64 #s(literal 49/5 binary64) v)
#s(literal 49/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64)))
(-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64))
(*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H))
(/.f64 (*.f64 v v) H)
#s(literal 9604/25 binary64)
(fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))
#s(literal 98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))))
(-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64))
(pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))
(*.f64 (/.f64 v H) v)
#s(literal 3 binary64)
#s(literal 941192/125 binary64)
(fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))
(+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))
(*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (* -49/5 (/ H (* v v))) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ -49/5 v)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (- (/ (pow v 2) H) 49/5) v)))
#s(approx (/ v H) #s(hole binary64 (/ v H)))
#s(approx (/ 49/5 v) #s(hole binary64 (/ 49/5 v)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) #s(hole binary64 -98/5))
#s(approx (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) #s(hole binary64 -9604/25))
#s(approx (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) #s(hole binary64 (- (/ (pow v 4) (pow H 2)) 9604/25)))
#s(approx (* (/ (* v v) H) (/ (* v v) H)) #s(hole binary64 (/ (pow v 4) (pow H 2))))
#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (+ (* v (/ v H)) 98/5) #s(hole binary64 98/5))
#s(approx (+ (* v (/ v H)) 98/5) #s(hole binary64 (+ 98/5 (/ (pow v 2) H))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -98/5 H)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 -98/5))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (/ (pow v 2) H) 98/5)))
#s(approx (- (pow (* (/ v H) v) 3) 941192/125) #s(hole binary64 -941192/125))
#s(approx (- (pow (* (/ v H) v) 3) 941192/125) #s(hole binary64 (- (/ (pow v 6) (pow H 3)) 941192/125)))
#s(approx (pow (* (/ v H) v) 3) #s(hole binary64 (/ (pow v 6) (pow H 3))))
#s(approx (* (/ v H) v) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 9604/25))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* 98/5 (/ (pow v 2) H)))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* (pow v 2) (+ (* 98/5 (/ 1 H)) (/ (pow v 2) (pow H 2)))))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 9604/25))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (+ 9604/25 (* 98/5 (/ (pow v 2) H)))))
#s(approx (* (/ (* v v) H) 98/5) #s(hole binary64 (* 98/5 (/ (pow v 2) H))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ 1 (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 -1))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 v))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 v))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ v H)))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (pow v 2)))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) #s(hole binary64 (/ (pow v 4) (pow H 2))))
#s(approx (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) #s(hole binary64 (* (pow v 4) (- (/ 1 (pow H 2)) (* 9604/25 (/ 1 (pow v 4)))))))
#s(approx (+ (* v (/ v H)) 98/5) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (+ (* v (/ v H)) 98/5) #s(hole binary64 (* (pow v 2) (+ (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (pow v 2)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (- (+ 1 (* -1 (/ (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2))) (pow v 4)))) (* 98/5 (/ H (pow v 2)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* (pow v 2) (- (+ 1 (* 98/5 (/ (* H (+ (* -9604/25 (pow H 2)) (* 9604/25 (pow H 2)))) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4)))))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (/ (pow v 2) H)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (/ 1 H) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (+ (* -1 (/ (+ (* -9604/25 H) (* 9604/25 H)) (pow v 4))) (/ 1 H)) (* 98/5 (/ 1 (pow v 2)))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (* (pow v 2) (- (+ (* 98/5 (/ (* H (+ (* -9604/25 H) (* 9604/25 H))) (pow v 6))) (/ 1 H)) (+ (* -9604/25 (/ H (pow v 4))) (+ (* 9604/25 (/ H (pow v 4))) (* 98/5 (/ 1 (pow v 2)))))))))
#s(approx (- (pow (* (/ v H) v) 3) 941192/125) #s(hole binary64 (/ (pow v 6) (pow H 3))))
#s(approx (- (pow (* (/ v H) v) 3) 941192/125) #s(hole binary64 (* (pow v 6) (- (/ 1 (pow H 3)) (* 941192/125 (/ 1 (pow v 6)))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (pow v 4) (pow H 2))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (* (pow v 4) (+ (* 98/5 (/ 1 (* H (pow v 2)))) (/ 1 (pow H 2))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (* (pow v 4) (+ (/ 1 (pow H 2)) (+ (/ 98/5 (* H (pow v 2))) (/ 9604/25 (pow v 4)))))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (* 98/5 (/ (pow v 2) H))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (* (pow v 2) (+ (* 98/5 (/ 1 H)) (* 9604/25 (/ 1 (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 -1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))))
#s(approx H #s(hole binary64 H))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (/ (+ v (* -49/5 (/ H v))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) #s(hole binary64 (/ (+ (* -9604/25 (pow H 2)) (pow v 4)) (pow H 2))))
#s(approx (+ (* v (/ v H)) 98/5) #s(hole binary64 (/ (+ (* 98/5 H) (pow v 2)) H)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (/ (+ (* -98/5 H) (pow v 2)) H)))
#s(approx (- (pow (* (/ v H) v) 3) 941192/125) #s(hole binary64 (/ (+ (* -941192/125 (pow H 3)) (pow v 6)) (pow H 3))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (+ (* 98/5 (* H (pow v 2))) (pow v 4)) (pow H 2))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (/ (+ (* H (+ (* 98/5 (pow v 2)) (* 9604/25 H))) (pow v 4)) (pow H 2))))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) #s(hole binary64 (/ (+ (* 98/5 (pow v 2)) (* 9604/25 H)) H)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (- (/ v H) (* 49/5 (/ 1 v)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2))))))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2)))))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
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#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
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#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
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#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
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#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (+ (* -5/98 (/ (pow v 4) H)) (* 5/98 (/ (pow v 4) H))) (pow v 2)) H)) 98/5)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)) 98/5)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H)))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) 1 (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5 (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (* (/ (* v v) H) (/ (* v v) H)) (/ (* v v) H) 9604/25 (+ (* v (/ v H)) 98/5) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (* (/ v H) v) 3) 941192/125) (pow (* (/ v H) v) 3) (* (/ v H) v) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) (* (/ (* v v) H) 98/5))
10.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) 1 (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5 (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (* (/ (* v v) H) (/ (* v v) H)) (/ (* v v) H) 9604/25 (+ (* v (/ v H)) 98/5) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (* (/ v H) v) 3) 941192/125) (pow (* (/ v H) v) 3) (* (/ v H) v) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) (* (/ (* v v) H) 98/5))
7.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) 1 (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5 (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (* (/ (* v v) H) (/ (* v v) H)) (/ (* v v) H) 9604/25 (+ (* v (/ v H)) 98/5) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (* (/ v H) v) 3) 941192/125) (pow (* (/ v H) v) 3) (* (/ v H) v) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) (* (/ (* v v) H) 98/5))
6.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) 1 (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5 (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (* (/ (* v v) H) (/ (* v v) H)) (/ (* v v) H) 9604/25 (+ (* v (/ v H)) 98/5) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (* (/ v H) v) 3) 941192/125) (pow (* (/ v H) v) 3) (* (/ v H) v) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) (* (/ (* v v) H) 98/5))
6.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ 1 (+ (* -98/5 H) (* v v))) 1 (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (- (* -49/5 (/ H (* v v))) 1) (* -49/5 (/ H (* v v))) -49/5 (/ H (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (- (/ v H) (/ 49/5 v)) H) (- (/ v H) (/ 49/5 v)) (/ v H) (/ 49/5 v) 49/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (* (/ (* v v) H) (/ (* v v) H)) (/ (* v v) H) 9604/25 (+ (* v (/ v H)) 98/5) 98/5 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (- (* v v) (* (* 2 49/5) H)) (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (- (pow (* (/ v H) v) 3) 941192/125) (pow (* (/ v H) v) 3) (* (/ v H) v) 3 941192/125 (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (+ 9604/25 (* (/ (* v v) H) 98/5)) (* (/ (* v v) H) 98/5))

rewrite200.0ms (6%)

Memory
5.3MiB live, 197.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09156790
049296356
Stop Event
iter limit
iter limit
node limit
Counts
276 → 397
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v))))
(atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v))
(* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
1
(+ (* -98/5 H) (* v v))
-98/5
H
(* v v)
v
(atan #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (* v v))) 1))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (- (* -49/5 (/ H (* v v))) 1)))
(- (* -49/5 (/ H (* v v))) 1)
(* -49/5 (/ H (* v v)))
-49/5
(/ H (* v v))
(atan (/ v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 #s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* (- (/ v H) (/ 49/5 v)) H)))))))
(/ v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 #s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* (- (/ v H) (/ 49/5 v)) H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 #s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* (- (/ v H) (/ 49/5 v)) H)))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* (- (/ v H) (/ 49/5 v)) H)))
(* (- (/ v H) (/ 49/5 v)) H)
(- (/ v H) (/ 49/5 v))
(/ v H)
(/ 49/5 v)
49/5
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H)))
(* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H)
(/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5))
(- (* (/ (* v v) H) (/ (* v v) H)) 9604/25)
(* (/ (* v v) H) (/ (* v v) H))
(/ (* v v) H)
9604/25
(+ (* v (/ v H)) 98/5)
98/5
(atan (/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H))))))
(/ v (sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)))))
(sqrt #s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)))
(* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H)
(/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))))
(- (pow (* (/ v H) v) 3) 941192/125)
(pow (* (/ v H) v) 3)
(* (/ v H) v)
3
941192/125
(+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))
(+ 9604/25 (* (/ (* v v) H) 98/5))
(* (/ (* v v) H) 98/5)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (* v v) #s(hole binary64 (pow v 2)))
#s(approx v #s(hole binary64 v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (* -49/5 (/ H (* v v))) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
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#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* H (- (/ v H) (* 49/5 (/ 1 v))))))
#s(approx (- (/ v H) (/ 49/5 v)) #s(hole binary64 (- (/ v H) (* 49/5 (/ 1 v)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* H (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2))))))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) (pow H 2))) (+ 98/5 (* -1 (/ (pow v 2) H))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) (pow H 3))) (+ 98/5 (+ (* -1 (/ (pow v 2) H)) (+ (* -5/98 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (pow v 4) (pow H 2)))))))))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (- (* -49/5 (/ H (* v v))) 1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (* (/ (* v v) H) (/ (* v v) H)) 9604/25) (+ (* v (/ v H)) 98/5)) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4))) H)) (pow v 2)) H)))))))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)))))))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (+ (* -5/98 (/ (pow v 4) H)) (* 5/98 (/ (pow v 4) H))) (pow v 2)) H)) 98/5)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (- (* 5/98 (/ (* (pow v 2) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (+ (* -5/98 (pow v 4)) (* 5/98 (pow v 4)))) H)) (pow v 2)) H)) 98/5)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) #s(hole binary64 (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H)))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(*.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 (*.f64 v v) #s(literal 3 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (pow.f64 (*.f64 v v) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 #s(literal -98/5 binary64) H) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (fabs.f64 v) (fabs.f64 v))
(*.f64 v v)
(pow.f64 v #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))
(*.f64 #s(literal -49/5 binary64) (/.f64 (/.f64 H v) v))
(/.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 v v))
#s(literal -49/5 binary64)
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(/.f64 (neg.f64 v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H))
(*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)
(*.f64 H (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)))
(/.f64 (-.f64 (*.f64 (/.f64 v H) (/.f64 v H)) (*.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 #s(literal 49/5 binary64) v))) (+.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)))
(/.f64 (-.f64 (pow.f64 (/.f64 v H) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 49/5 binary64) v) #s(literal 3 binary64))) (fma.f64 (/.f64 v H) (/.f64 v H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 #s(literal 49/5 binary64) v) (*.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (+.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (+ (* (/ H v) -49/5) v) v)
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) v)
#s(approx (* (- (/ v H) (/ 49/5 v)) H) (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (- (/ v H) (/ 49/5 v)) (/.f64 v H))
#s(approx (- (/ v H) (/ 49/5 v)) (*.f64 (-.f64 (pow.f64 H #s(literal -1 binary64)) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) v))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 v v))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (*.f64 v v))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (*.f64 (/.f64 v H) v))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (*.f64 (-.f64 (pow.f64 H #s(literal -1 binary64)) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 98/5 binary64))) (*.f64 v v)))
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#s(approx (+ (* v (/ v H)) 98/5) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 98/5 binary64) (pow.f64 H #s(literal -1 binary64))) (*.f64 v v)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (*.f64 v v))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (*.f64 (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 0 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 H v) v) #s(literal 98/5 binary64))) (*.f64 v v)))
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#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (*.f64 (/.f64 v H) v))
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#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H #s(literal 0 binary64)) H) (pow.f64 v #s(literal 6 binary64))) #s(literal 98/5 binary64) (pow.f64 H #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 H #s(literal 0 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 98/5 binary64)))) (*.f64 v v)))
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#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal 98/5 binary64)))
#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) (*.f64 (fma.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 9604/25 binary64) (/.f64 #s(literal 98/5 binary64) H)) (*.f64 v v)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64)))
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#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) H) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 v) (+.f64 (fma.f64 #s(literal -117649/250 binary64) (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 H v) v) #s(literal -49/5 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (* (/ H v) -49/5) v) (*.f64 (neg.f64 v) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 1 binary64))))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) (*.f64 (neg.f64 v) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 1 binary64))))
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#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (*.f64 #s(literal 7203/50 binary64) (pow.f64 v #s(literal -4 binary64)))) H (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64)))
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#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal 7203/50 binary64))) H (pow.f64 v #s(literal -1 binary64))))
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#s(approx H H)
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal -2401/50 binary64)) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (*.f64 #s(literal -2401/50 binary64) (pow.f64 v #s(literal -3 binary64)))) H) (/.f64 #s(literal 49/5 binary64) v)) H v))
#s(approx (+ (* (/ H v) -49/5) v) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (- (/ v H) (/ 49/5 v)) (/.f64 (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) H))
#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) H))
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#s(approx (+ (* v (/ v H)) 98/5) (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) H))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) H))
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#s(approx (+ 9604/25 (* (/ (* v v) H) 98/5)) (/.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) v) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))))) H)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 #s(literal 98/5 binary64) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64)))))) H)))
#s(approx (+ (* (/ H v) -49/5) v) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (* (- (/ v H) (/ 49/5 v)) H) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))
#s(approx (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 v H) v) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 v v (neg.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64)))) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (* (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) H) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 v v (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64))) #s(literal -5/98 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 0 binary64))) H))) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64)) (*.f64 v v)) H) #s(literal -1 binary64) #s(literal -98/5 binary64)))
#s(approx (/ (- (pow (* (/ v H) v) 3) 941192/125) (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5)))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 0 binary64))) #s(literal 5/98 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 0 binary64))) H)) (*.f64 v v)) H) #s(literal -1 binary64) #s(literal -98/5 binary64)))
#s(approx (+ (* (/ (* v v) H) (/ (* v v) H)) (+ 9604/25 (* (/ (* v v) H) 98/5))) (fma.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -98/5 binary64) (neg.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H))) H) #s(literal -1 binary64) #s(literal 9604/25 binary64)))

eval78.0ms (2.3%)

Memory
28.9MiB live, 117.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 20 696 to 2 967 computations (85.7% saved)

prune30.0ms (0.9%)

Memory
-6.3MiB live, 51.5MiB allocated; 18ms collecting garbage
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New4832485
Fresh033
Picked235
Done066
Total48514499
Accuracy
100.0%
Counts
499 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
57.4%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
46.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))))
33.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 #s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(literal -941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
46.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))) H)))))
37.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
42.9%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
35.4%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
37.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
37.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
33.5%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
37.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
37.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 1 002 to 450 computations (55.1% saved)

regimes81.0ms (2.4%)

Memory
-3.2MiB live, 42.7MiB allocated; 3ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(approx (+ (* (/ H v) -49/5) v) (*.f64 (-.f64 (/.f64 v H) (/.f64 #s(literal 49/5 binary64) v)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (*.f64 v (/.f64 v H)) #s(literal 98/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H)) #s(literal 9604/25 binary64)) (fma.f64 v (/.f64 v H) #s(literal 98/5 binary64))) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 #s(approx (- (pow (/ (* v v) H) 3) 941192/125) #s(literal -941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 v v) H) #s(literal 3 binary64)) #s(literal 941192/125 binary64)) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 (*.f64 v v) H) (+.f64 #s(literal 9604/25 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))) H)))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

55.0ms
v
7.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
7.0ms
H
5.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
5.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
66.8%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
81.8%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
81.8%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
99.5%3v
66.8%2H
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H)))) v)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
93.9%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
93.8%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes25.0ms (0.8%)

Memory
-32.7MiB live, 13.0MiB allocated; 4ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Calls

3 calls:

21.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
v
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
51.6%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
51.6%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
69.1%2v
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
69.1%2v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(literal 1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
68.9%2v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Calls

5 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
H
1.0ms
v
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
33.5%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
33.5%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
33.5%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
33.5%1H
33.5%1v
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch24.0ms (0.7%)

Memory
-22.2MiB live, 22.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
20.0ms
1.4011123503870166e+138
3.5800094118336403e+139
2.0ms
-5.152861867318602e+154
-7.702182615956948e+150
Samples
6.0ms64×0valid
0.0ms0invalid
Compiler

Compiled 116 to 108 computations (6.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 1.0ms (22.4% of total)
ival-atan: 1.0ms (22.4% of total)
const: 1.0ms (22.4% of total)
ival-div: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch74.0ms (2.2%)

Memory
1.7MiB live, 99.7MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
4.299131748201359e-114
1.5511862661425492e-100
36.0ms
-1.1248414775836864e+35
-1.6522896336135092e+30
Samples
41.0ms304×0valid
5.0ms67×0invalid
Compiler

Compiled 1 012 to 803 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 22.0ms (59.5% of total)
const: 5.0ms (13.5% of total)
ival-atan: 3.0ms (8.1% of total)
ival-div: 2.0ms (5.4% of total)
ival-sub: 2.0ms (5.4% of total)
ival-sqrt: 2.0ms (5.4% 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)

bsearch3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.299131748201359e-114
1.5511862661425492e-100
1.0ms
-1.1248414775836864e+35
-1.6522896336135092e+30
Compiler

Compiled 1 032 to 823 computations (20.3% saved)

bsearch32.0ms (1%)

Memory
0.8MiB live, 46.5MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-1.211850906184116e-116
-1.7542770601638603e-122
Samples
12.0ms144×0valid
3.0ms42×0invalid
Compiler

Compiled 421 to 349 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.2% of total)
const: 2.0ms (18.6% of total)
ival-div: 1.0ms (9.3% of total)
ival-atan: 1.0ms (9.3% of total)
ival-sub: 1.0ms (9.3% of total)
ival-sqrt: 1.0ms (9.3% 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)

bsearch36.0ms (1.1%)

Memory
0.8MiB live, 44.4MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
4.299131748201359e-114
1.5511862661425492e-100
Samples
23.0ms144×0valid
4.0ms49×0invalid
Compiler

Compiled 386 to 336 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
const: 13.0ms (60.4% of total)
ival-mult: 4.0ms (18.6% of total)
ival-div: 1.0ms (4.6% of total)
ival-atan: 1.0ms (4.6% of total)
ival-sub: 1.0ms (4.6% of total)
ival-sqrt: 1.0ms (4.6% 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)

bsearch21.0ms (0.6%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
-8.477198197645761e-306
-4.937619230697765e-308
Samples
9.0ms112×0valid
4.0ms47×0invalid
Compiler

Compiled 226 to 212 computations (6.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.8% of total)
const: 2.0ms (23.2% of total)
ival-div: 1.0ms (11.6% of total)
ival-atan: 1.0ms (11.6% of total)
ival-sub: 1.0ms (11.6% of total)
ival-sqrt: 1.0ms (11.6% 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)

simplify58.0ms (1.7%)

Memory
-31.9MiB live, 66.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071323
193323
2156323
3349323
41241323
54334323
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1660000000000000128709969313792 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (if (<=.f64 v #s(literal 763413870055143/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))))
(if (<=.f64 v #s(literal -1660000000000000128709969313792 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (if (<=.f64 v #s(literal 763413870055143/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -6698545683108313/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal 6099873327065793/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Outputs
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1660000000000000128709969313792 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (if (<=.f64 v #s(literal 763413870055143/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))))
(if (<=.f64 v #s(literal -1660000000000000128709969313792 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (if (<=.f64 v #s(literal 763413870055143/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -6698545683108313/372141426839350727961253789638658321589064376671906846864122981980487315514059736743009817965446945567110411062408283101969716033850703872 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal 6099873327065793/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -5060056332682765/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

derivations48.0ms (1.4%)

Memory
-1.1MiB live, 46.6MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 353 to 73 computations (79.3% saved)

preprocess38.0ms (1.1%)

Memory
32.6MiB live, 77.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 732 to 168 computations (77% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...