Optimal throwing angle

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze42.0ms (1.9%)

Memory
-7.2MiB live, 35.2MiB allocated; 10ms 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)

sample1.1s (50.8%)

Memory
36.4MiB live, 1 145.2MiB allocated; 167ms collecting garbage
Samples
799.0ms8 256×0valid
8.0ms104×0invalid
Precisions
Click to see histograms. Total time spent on operations: 566.0ms
ival-mult: 195.0ms (34.5% of total)
const: 113.0ms (20% of total)
ival-atan: 80.0ms (14.1% of total)
ival-div: 63.0ms (11.1% of total)
ival-sqrt: 59.0ms (10.4% of total)
ival-sub: 44.0ms (7.8% of total)
exact: 6.0ms (1.1% of total)
adjust: 3.0ms (0.5% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain146.0ms (6.6%)

Memory
-22.6MiB live, 186.5MiB allocated; 31ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
920-0-(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-rescue920
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow92
(*.f64 v v)overflow92
Confusion
Predicted +Predicted -
+922
-0162
Precision
1.0
Recall
0.9787234042553191
Confusion?
Predicted +Predicted MaybePredicted -
+9202
-00162
Precision?
1.0
Recall?
0.9787234042553191
Freqs
test
numberfreq
0164
192
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms504×0valid
15.0ms5exit
Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
const: 18.0ms (38.1% of total)
ival-mult: 11.0ms (23.3% of total)
ival-atan: 5.0ms (10.6% of total)
ival-div: 4.0ms (8.5% of total)
ival-sqrt: 4.0ms (8.5% of total)
ival-sub: 3.0ms (6.3% of total)
adjust: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess230.0ms (10.3%)

Memory
11.7MiB live, 152.6MiB allocated; 11ms 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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

series18.0ms (0.8%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms 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
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)
3.0ms
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)
1.0ms
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)

rewrite87.0ms (3.9%)

Memory
-1.9MiB live, 91.0MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922022
04031823
021181696
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
67 → 87
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
#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 #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 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 #s(literal 98/5 binary64) H)
(*.f64 H #s(literal 98/5 binary64))
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 (/ 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 #s(literal 98/5 binary64) H))
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) 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)))

eval28.0ms (1.3%)

Memory
-15.4MiB live, 33.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 395 to 544 computations (77.3% saved)

prune26.0ms (1.2%)

Memory
-16.1MiB live, 30.6MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83588
Fresh000
Picked011
Done000
Total83689
Accuracy
99.9%
Counts
89 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.7%
(atan.f64 (/.f64 v (sqrt.f64 (/.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))))))))
64.3%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
39.6%
(atan.f64 (/.f64 v (sqrt.f64 #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))))))
36.5%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.1%
(atan.f64 (/.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))))))
64.2%
#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)))
Compiler

Compiled 275 to 191 computations (30.5% saved)

series9.0ms (0.4%)

Memory
12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Counts
11 → 77
Calls
Call 1
Inputs
#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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v)
1.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v)
1.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v)
1.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v)
1.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) 1 (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v)

rewrite94.0ms (4.2%)

Memory
-0.9MiB live, 91.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04703027
04802694
025222589
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
88 → 113
Calls
Call 1
Inputs
#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 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
#s(literal 1 binary64)
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
#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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 v)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* -49/5 (/ H v)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (sqrt (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* 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 (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v)
(*.f64 v (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) v) (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))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.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)))
#s(literal 1 binary64)
(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 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
(-.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))
#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(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v)))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1 binary64)) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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)))))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (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 (+ (* -98/5 H) (* v v))) (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 (+ (* -98/5 H) (* v v))) (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 (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal 1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -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 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (pow.f64 v #s(literal -1 binary64)))
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#s(approx (sqrt (+ (* -98/5 H) (* v v))) v)
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#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.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))
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#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.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)))
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#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (+ (* -98/5 H) (* v v))) (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))
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#s(approx H H)
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#s(approx (sqrt (+ (* -98/5 H) (* v v))) (*.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 (+ (* -98/5 H) (* v v))) (*.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 (+ (* -98/5 H) (* v v))) (*.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))
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#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
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#s(approx (sqrt (+ (* -98/5 H) (* v v))) (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 (+ (* -98/5 H) (* v v))) (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 (+ (* -98/5 H) (* v v)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval15.0ms (0.7%)

Memory
25.4MiB live, 25.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 883 to 800 computations (83.6% saved)

prune47.0ms (2.1%)

Memory
-30.5MiB live, 64.9MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh224
Picked011
Done011
Total1126118
Accuracy
100.0%
Counts
118 → 6
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)))))
36.5%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.1%
(atan.f64 (/.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))))))
64.3%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)))
64.2%
#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)))
43.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
Compiler

Compiled 145 to 112 computations (22.8% saved)

series7.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
11 → 52
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
(sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))
(pow.f64 H #s(literal -1 binary64))
H
#s(literal -1 binary64)
#s(literal -5/98 binary64)
v
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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 v #s(hole binary64 v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow H -1) #s(hole binary64 (/ 1 H)))
#s(approx H #s(hole binary64 H))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v)
1.0ms
H
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v)
1.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v)
1.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v)
1.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt (* (pow H -1) -5/98)) (* (pow H -1) -5/98) (pow H -1) H -1 -5/98 v)

rewrite69.0ms (3.1%)

Memory
26.4MiB live, 72.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03322265
03392014
017211885
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
63 → 73
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
(sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))
(pow.f64 H #s(literal -1 binary64))
H
#s(literal -1 binary64)
#s(literal -5/98 binary64)
v
#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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 v #s(hole binary64 v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 -1))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ -1 v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (* (pow H -1) -5/98) #s(hole binary64 (/ -5/98 H)))
#s(approx (pow H -1) #s(hole binary64 (/ 1 H)))
#s(approx H #s(hole binary64 H))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (* (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (/ 1 (sqrt (+ (* -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 (sqrt (* (pow H -1) -5/98)) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)))
(atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))
(*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v)
(*.f64 v #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 H)) (sqrt.f64 #s(literal -5/98 binary64)))
(pow.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))
(*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))
(*.f64 (pow.f64 H #s(literal -1/2 binary64)) (pow.f64 H #s(literal -1/2 binary64)))
(pow.f64 H #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 H))
(/.f64 #s(literal 1 binary64) H)
(exp.f64 (*.f64 (log.f64 H) #s(literal -1 binary64)))
H
#s(literal -1 binary64)
#s(literal -5/98 binary64)
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.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 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.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 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx v v)
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal 1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -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 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (+.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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (pow.f64 v #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 (+.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)) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.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 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) #s(literal -1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* -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 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (/.f64 #s(literal -1 binary64) v))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (neg.f64 (/.f64 (+.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)) v)))
#s(approx (/ 1 (sqrt (+ (* -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 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ (* -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))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64))))
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
#s(approx (* (pow H -1) -5/98) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (pow H -1) (pow.f64 H #s(literal -1 binary64)))
#s(approx H H)
#s(approx (atan (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -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))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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))) (fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.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 -5/98 binary64))) (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))) (fma.f64 (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (/ 1 (sqrt (+ (* -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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (* (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) v) (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 (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) #s(literal -125/1882384 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))
#s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (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 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (pow.f64 H #s(literal -3 binary64)))) #s(literal -25/19208 binary64) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))))
#s(approx (sqrt (* (pow H -1) -5/98)) (sqrt.f64 (*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))))

eval11.0ms (0.5%)

Memory
-31.2MiB live, 14.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 232 to 463 computations (85.7% saved)

prune11.0ms (0.5%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done022
Total67673
Accuracy
100.0%
Counts
73 → 6
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)))))
36.5%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.1%
(atan.f64 (/.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))))))
64.3%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)))
64.2%
#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)))
43.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
Compiler

Compiled 145 to 112 computations (22.8% saved)

series9.0ms (0.4%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Counts
12 → 72
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) 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))
(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)
#s(literal 1/2 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 1))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ 1 v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 -1))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ -1 v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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)))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2)
1.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2)
1.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2)
1.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2)
1.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow (+ (* -98/5 H) (* v v)) -1) (+ (* -98/5 H) (* v v)) -98/5 H (* v v) v -1 1/2)

rewrite145.0ms (6.5%)

Memory
-24.0MiB live, 122.8MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04552803
04652415
024692322
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
84 → 112
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) v))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) 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))
(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)
#s(literal 1/2 binary64)
#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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 1))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ 1 v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 -1))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (/ -1 v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) #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)))))))
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)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 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))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))) #s(literal 1/2 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 #s(literal -98/5 binary64) H) (*.f64 (neg.f64 v) v))
(-.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))
#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)
#s(literal 1/2 binary64)
#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)))
#s(approx (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.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) (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 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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) (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 v v) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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)))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (/.f64 (*.f64 #s(literal -25/9604 binary64) (*.f64 v v)) (*.f64 H H)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 v v) (pow.f64 H #s(literal 3 binary64))) #s(literal -125/941192 binary64) (*.f64 #s(literal -25/9604 binary64) (pow.f64 H #s(literal -2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 v v) (pow.f64 H #s(literal 4 binary64))) #s(literal -625/92236816 binary64) (*.f64 #s(literal -125/941192 binary64) (pow.f64 H #s(literal -3 binary64)))) (*.f64 v v) (*.f64 #s(literal -25/9604 binary64) (pow.f64 H #s(literal -2 binary64)))) (*.f64 v v)) (/.f64 #s(literal 5/98 binary64) H)))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* -98/5 H) (* v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (* v v) (*.f64 v v))
#s(approx v v)
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(literal 1 binary64))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) 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 H (*.f64 v v)) #s(literal 49/5 binary64))) #s(literal 1 binary64)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (+.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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (pow.f64 v #s(literal -1 binary64)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 (+.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)) v))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.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 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (pow.f64 v #s(literal -2 binary64)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal 9604/25 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64))) (*.f64 v v)))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -9604/25 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64)))) (*.f64 v v)))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 v v))
#s(approx (+ (* -98/5 H) (* v v)) (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) (*.f64 v v)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) #s(literal -1 binary64))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v))) #s(literal 1 binary64)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (-.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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (/.f64 #s(literal -1 binary64) v))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (neg.f64 (/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (neg.f64 (/.f64 (+.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)) v)))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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 H (*.f64 v v)) #s(literal 49/5 binary64)))) #s(literal 1 binary64)) v)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 7203/50 binary64) (*.f64 (pow.f64 v #s(literal -2 binary64)) #s(literal 49/5 binary64))) H #s(literal 1 binary64)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (/.f64 H (pow.f64 v #s(literal 3 binary64))) #s(literal 49/5 binary64) (pow.f64 v #s(literal -1 binary64))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -5 binary64)) #s(literal 7203/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 7 binary64))) #s(literal 117649/50 binary64))) H (*.f64 (pow.f64 v #s(literal -3 binary64)) #s(literal 49/5 binary64))) H (pow.f64 v #s(literal -1 binary64))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) #s(literal 98/5 binary64) (pow.f64 v #s(literal -2 binary64))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (fma.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 98/5 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 9604/25 binary64))) H (pow.f64 v #s(literal -2 binary64))))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 v #s(literal -6 binary64)) #s(literal 9604/25 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 8 binary64))) #s(literal 941192/125 binary64))) H (*.f64 (pow.f64 v #s(literal -4 binary64)) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal -2 binary64))))
#s(approx H H)
#s(approx (atan (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v)) (atan.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (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 (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 H #s(literal -7 binary64)))) (/.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 -5/98 binary64))) (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))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (pow.f64 H #s(literal -5 binary64)))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (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) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64)) #s(literal 5/98 binary64)) H))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -125/941192 binary64)) (*.f64 H H)) (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64))) H))
#s(approx (pow (+ (* -98/5 H) (* v v)) -1) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) (pow.f64 H #s(literal 3 binary64))) (+.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 H H)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64))) #s(literal 5/98 binary64))) H))
#s(approx (+ (* -98/5 H) (* v v)) (*.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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 H))))
#s(approx (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (* (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) v) (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 (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))))
#s(approx (pow (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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 (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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))) (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 4 binary64))) (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 (pow (+ (* -98/5 H) (* v v)) -1) 1/2) (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 v) H) #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 v) H) #s(literal -1 binary64) #s(literal 98/5 binary64)) H)))

eval17.0ms (0.7%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 773 to 795 computations (83.3% saved)

prune64.0ms (2.9%)

Memory
-17.4MiB live, 80.1MiB allocated; 18ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1101111
Fresh022
Picked101
Done033
Total1116117
Accuracy
100.0%
Counts
117 → 6
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)))))
36.5%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.1%
(atan.f64 (/.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))))))
64.2%
#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)))
64.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) v)))
43.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 #s(approx (/ 1 (sqrt (+ (* -98/5 H) (* v v)))) (sqrt.f64 (*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64)))) v)))
Compiler

Compiled 399 to 283 computations (29.1% saved)

derivations0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 13 to 11 computations (15.4% saved)

preprocess17.0ms (0.8%)

Memory
-24.1MiB live, 21.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 52 to 44 computations (15.4% saved)

end0.0ms (0%)

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

Profiling

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