Optimal throwing angle

Time bar (total: 5.0s)

start0.0ms (0%)

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

analyze37.0ms (0.7%)

Memory
3.5MiB live, 96.0MiB allocated; 12ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.4s (29.1%)

Memory
31.9MiB live, 2 028.2MiB allocated; 358ms collecting garbage
Samples
1.1s8 256×0valid
7.0ms95×0invalid
Precisions
Click to see histograms. Total time spent on operations: 715.0ms
ival-mult: 235.0ms (32.9% of total)
const: 179.0ms (25% of total)
ival-atan: 117.0ms (16.4% of total)
ival-sqrt: 57.0ms (8% of total)
ival-div: 56.0ms (7.8% of total)
ival-sub: 54.0ms (7.6% of total)
ival-true: 5.0ms (0.7% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

explain138.0ms (2.8%)

Memory
12.2MiB live, 203.9MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-0-(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-rescue960
↳(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow96
↳(*.f64 v v)overflow95
↳(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)overflow2
Confusion
Predicted +Predicted -
+960
-0160
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9600
-00160
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0160
196
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms510×0valid
6.0ms2×5exit
Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 17.0ms (42.4% of total)
const: 7.0ms (17.4% of total)
ival-atan: 5.0ms (12.5% of total)
ival-sqrt: 4.0ms (10% of total)
ival-div: 3.0ms (7.5% of total)
ival-sub: 2.0ms (5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess259.0ms (5.2%)

Memory
12.6MiB live, 196.0MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02861
16659
216159
344259
4108059
5252459
6718059
01111
01911
13011
25311
310011
414911
522911
668611
7480411
0853510
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.5%
(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)

simplify158.0ms (3.2%)

Memory
-15.8MiB live, 122.1MiB allocated; 10ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
cost-diff1
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
cost-diff2
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01947
13047
25347
310047
414947
522947
668647
7480447
0853543
Stop Event
1×iter limit
1×node limit
1×iter 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)))))
(/.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
(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)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

localize46.0ms (0.9%)

Memory
15.3MiB live, 71.8MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
accuracy0.06640625
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy0.52734375
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy22.399364552549716
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
Samples
26.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (31.9% of total)
const: 3.0ms (19.1% of total)
ival-div: 2.0ms (12.7% of total)
ival-atan: 2.0ms (12.7% of total)
ival-sqrt: 2.0ms (12.7% of total)
ival-sub: 1.0ms (6.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-14.9MiB live, 30.5MiB allocated; 6ms collecting garbage
Counts
6 → 53
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(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))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Outputs
#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 (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 (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 (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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (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))))))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
H
@inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
4.0ms
H
@-inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms
v
@0
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
2.0ms
v
@inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
1.0ms
v
@-inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))

simplify228.0ms (4.6%)

Memory
-1.8MiB live, 168.1MiB allocated; 77ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03821883
111001838
250321801
080441667
Stop Event
1×iter limit
1×node limit
Counts
53 → 53
Calls
Call 1
Inputs
#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 (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 (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 (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 (+ 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 (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 v) (* (* 2 49/5) H)) #s(hole binary64 (+ (* -98/5 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 (* (* 2 49/5) H) #s(hole binary64 (* 98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (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 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (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))))))))))
Outputs
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#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)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#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)))) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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 (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) 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))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#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))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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))) (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (pow v 2)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 v v))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
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#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#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))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#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 (sqrt (- (* v v) (* (* 2 49/5) H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))

rewrite74.0ms (1.5%)

Memory
2.9MiB live, 50.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
01940
14840
027836
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
6 → 44
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(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))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Outputs
#s(literal 98/5 binary64)
(/.f64 (+.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64))) (+.f64 (pow.f64 v #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(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 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(-.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 (neg.f64 H) #s(literal 98/5 binary64)))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (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))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(sqrt.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 1/2 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) H)

eval46.0ms (0.9%)

Memory
-20.7MiB live, 22.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 560 to 578 computations (77.4% saved)

prune8.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New831194
Fresh000
Picked101
Done000
Total841195
Accuracy
99.6%
Counts
95 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))))
63.2%
(atan.f64 (/.f64 v (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))))
▶63.5%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
35.7%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
▶33.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
36.8%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
34.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
▶39.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
34.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶39.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
Compiler

Compiled 430 to 322 computations (25.1% saved)

simplify134.0ms (2.7%)

Memory
0.3MiB live, 101.3MiB allocated; 11ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
cost-diff0
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
cost-diff0
(/.f64 H (*.f64 v v))
cost-diff0
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
cost-diff0
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
cost-diff0
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038258
057249
181249
2140249
3268249
4535249
51287249
08710249
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #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 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.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 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v

localize151.0ms (3%)

Memory
-8.0MiB live, 127.9MiB allocated; 12ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
accuracy0.2578125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
accuracy0.60304404577529
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy21.770810627607112
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
accuracy0.06640625
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
accuracy0.52734375
(*.f64 #s(literal -98/5 binary64) H)
accuracy22.399364552549716
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy44.67437588059394
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
accuracy0.06478500976844201
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
accuracy7.2472572420652694
(/.f64 H (*.f64 v v))
accuracy38.60109686355988
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy38.20678750523919
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy0.01171875
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
accuracy0.06640625
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
accuracy0.52734375
(*.f64 #s(literal -98/5 binary64) H)
accuracy22.399364552549716
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
Samples
95.0ms255×0valid
1.0ms1×5exit
Compiler

Compiled 237 to 30 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 35.0ms (47.5% of total)
const: 9.0ms (12.2% of total)
ival-mult: 9.0ms (12.2% of total)
ival-atan: 7.0ms (9.5% of total)
ival-div: 6.0ms (8.1% of total)
ival-sqrt: 5.0ms (6.8% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (1%)

Memory
-8.1MiB live, 43.3MiB allocated; 11ms collecting garbage
Counts
21 → 178
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.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 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
Outputs
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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 (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) (* -98/5 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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
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#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Calls

6 calls:

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

simplify185.0ms (3.7%)

Memory
33.8MiB live, 223.7MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06766407
117466216
273546068
083145626
Stop Event
1×iter limit
1×node limit
Counts
178 → 178
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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 (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H))) #s(hole binary64 v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 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) (* -98/5 H)) #s(hole binary64 (pow v 2)))
#s(approx (+ (* v v) (* -98/5 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 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 -1))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (- (* -49/5 (/ H (pow v 2))) 1)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (- (* 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 (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
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#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
Outputs
#s(approx (atan (/ v (sqrt (+ (* v v) (* -98/5 H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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)))) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (/ v (sqrt (+ (* v v) (* -98/5 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 (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (sqrt (+ (* v v) (* -98/5 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) (* -98/5 H))) (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (sqrt (+ (* v v) (* -98/5 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 (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (+ (* -98/5 H) (pow v 2))))
#s(approx (+ (* v v) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#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)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#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)))) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#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 (sqrt (- (* v v) (* (* 2 49/5) H)))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -49/5 (/ H (pow v 2)))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (/ H (* v v)) (/.f64 H (*.f64 v v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
#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) (* -98/5 H))) (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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) (* -98/5 H))) (fma.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 v v) #s(literal -98/5 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#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 (sqrt (+ (* v v) (* -98/5 H))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -98/5 H)))
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (- (pow v 2) (* 98/5 H))))
#s(approx (+ (* v v) (* -98/5 H)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) v) v) (sqrt.f64 H)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v v) (/.f64 #s(literal 375/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
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#s(approx (+ (* v v) (* -98/5 H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#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)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
#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)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
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#s(approx (/ 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))))))))
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#s(approx (+ (* -49/5 (/ H (* v v))) -1) #s(hole binary64 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64)))
#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) (* -98/5 H))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#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) (* -98/5 H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#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) (* -98/5 H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
#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 (sqrt (+ (* v v) (* -98/5 H))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -125/1882384 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -25/19208 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (*.f64 v (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))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H)) (pow.f64 v #s(literal 5 binary64))) #s(literal 125/1882384 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (pow.f64 (neg.f64 H) #s(literal 3 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -25/19208 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (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)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 H)) (pow.f64 v #s(literal 4 binary64))) #s(literal 125/1882384 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (pow.f64 (neg.f64 H) #s(literal 3 binary64))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H)))
#s(approx (+ (* -98/5 H) (* v v)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (+ (* v v) (* -98/5 H)) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))))

rewrite56.0ms (1.1%)

Memory
4.8MiB live, 92.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038234
057225
1150221
0870221
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 176
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.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 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 #s(literal -98/5 binary64) H)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 (hypot.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (+.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(-.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal -98/5 binary64)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v))
(+.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))))
(+.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 (neg.f64 v)) v))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 H (*.f64 v v)) #s(literal 3 binary64)) #s(literal -117649/125 binary64) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))))
(fma.f64 (/.f64 #s(literal -49/5 binary64) (neg.f64 v)) (/.f64 H (neg.f64 v)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -49/5 binary64) (fabs.f64 v)) (/.f64 H (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 H (*.f64 v v))) #s(literal -49/5 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(+.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))
(/.f64 (/.f64 H (neg.f64 v)) (neg.f64 v))
(/.f64 (/.f64 H (fabs.f64 v)) (fabs.f64 v))
(/.f64 (neg.f64 (/.f64 H v)) (neg.f64 v))
(/.f64 (neg.f64 (neg.f64 H)) (*.f64 v v))
(/.f64 (/.f64 H v) v)
(/.f64 (neg.f64 H) (*.f64 (neg.f64 v) v))
(/.f64 H (*.f64 v v))
(neg.f64 (/.f64 (neg.f64 H) (*.f64 v v)))
(neg.f64 (/.f64 H (*.f64 (neg.f64 v) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(*.f64 v (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (*.f64 v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(neg.f64 (*.f64 #s(literal 98/5 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 v) v (*.f64 #s(literal 98/5 binary64) H)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 v) v (*.f64 #s(literal 98/5 binary64) H))))
(exp.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 v) v) #s(literal 3 binary64))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (+.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (neg.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 (neg.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(/.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 v)) (fabs.f64 (fabs.f64 v)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) (pow.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (pow.f64 v #s(literal 1 binary64)) v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 (fabs.f64 v) (fabs.f64 v) (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 (neg.f64 v)) v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(-.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))) (/.f64 (pow.f64 v #s(literal 4 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))
(-.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))
(-.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal -98/5 binary64)))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 v) v))
(+.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(+.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64)))))
(+.f64 (*.f64 v v) (*.f64 (neg.f64 H) #s(literal 98/5 binary64)))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 (neg.f64 (neg.f64 v)) v))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))

eval45.0ms (0.9%)

Memory
-34.9MiB live, 69.8MiB allocated; 25ms collecting garbage
Compiler

Compiled 8 186 to 1 347 computations (83.5% saved)

prune11.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New2455250
Fresh336
Picked055
Done000
Total24813261
Accuracy
100.0%
Counts
261 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))))
▶33.3%
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
✓63.5%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
✓33.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
36.8%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
34.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓39.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
▶34.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓39.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
▶63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
✓63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
▶23.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
▶33.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 516 to 376 computations (27.1% saved)

simplify129.0ms (2.6%)

Memory
-21.5MiB live, 213.3MiB allocated; 15ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
cost-diff2
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
cost-diff2
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
cost-diff0
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
cost-diff0
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
cost-diff0
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
cost-diff7
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
cost-diff0
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
cost-diff0
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
cost-diff0
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057526
087469
1152456
2416456
31720456
45885456
08162444
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
#s(literal -1/2 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
v
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
#s(literal 1/4 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
#s(literal -941192/125 binary64)
(pow.f64 H #s(literal 3 binary64))
H
#s(literal 3 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(*.f64 H H)
#s(literal 9604/25 binary64)
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 v v)
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
#s(literal 98/5 binary64)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
#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 v v (*.f64 H #s(literal -98/5 binary64))) #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 v v (*.f64 H #s(literal -98/5 binary64))) #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)
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
v
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
H
#s(literal -98/5 binary64)
#s(literal -1/2 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
v
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
H
#s(literal -98/5 binary64)
#s(literal 1/4 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))) v))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))) v)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 (fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))
#s(literal 1 binary64)
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
(fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64)))
#s(literal -941192/125 binary64)
(pow.f64 H #s(literal 3 binary64))
H
#s(literal 3 binary64)
(pow.f64 v #s(literal 6 binary64))
v
#s(literal 6 binary64)
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(fma.f64 (fma.f64 (*.f64 v v) #s(literal 98/5 binary64) (*.f64 #s(literal 9604/25 binary64) H)) H (pow.f64 v #s(literal 4 binary64)))
(*.f64 H H)
#s(literal 9604/25 binary64)
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) v) v)
(*.f64 v v)
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))
#s(literal 98/5 binary64)

localize176.0ms (3.5%)

Memory
12.6MiB live, 300.0MiB allocated; 20ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.247399585739508
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
accuracy4.613281250000001
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
accuracy21.770810627607112
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
accuracy47.9321851543314
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
accuracy0.52734375
(*.f64 H #s(literal -98/5 binary64))
accuracy0.53125
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
accuracy23.043041033330113
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
accuracy44.67437588059394
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
accuracy0.19921875
(/.f64 #s(literal -5/98 binary64) H)
accuracy0.2578125
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
accuracy21.770810627607112
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy44.43069606971424
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
accuracy41.97847357283032
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
accuracy0.01171875
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
accuracy0.2578125
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
accuracy0.52734375
(*.f64 H #s(literal -98/5 binary64))
accuracy22.464136996944905
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
Samples
119.0ms255×0valid
3.0ms1×5exit
Compiler

Compiled 463 to 54 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 25.0ms (24.9% of total)
ival-pow: 21.0ms (20.9% of total)
const: 18.0ms (17.9% of total)
ival-atan: 11.0ms (11% of total)
ival-div: 8.0ms (8% of total)
ival-sqrt: 8.0ms (8% of total)
ival-add: 5.0ms (5% of total)
adjust: 2.0ms (2% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.8%)

Memory
-5.4MiB live, 89.3MiB allocated; 10ms collecting garbage
Counts
25 → 272
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(*.f64 H #s(literal -98/5 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 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 (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (/ 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 (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (pow (* -98/5 H) 1/4)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* -5/392 (* (pow (/ -98/5 (pow H 3)) 1/4) (pow v 2))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* -75/307328 (* (pow (/ -98/5 (pow H 7)) 1/4) (pow v 2))))) (pow (* -98/5 H) 1/4))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (* (pow v 2) (+ (* -5/392 (pow (/ -98/5 (pow H 3)) 1/4)) (* (pow v 2) (+ (* -75/307328 (pow (/ -98/5 (pow H 7)) 1/4)) (* -125/17210368 (* (pow (/ -98/5 (pow H 11)) 1/4) (pow v 2))))))) (pow (* -98/5 H) 1/4))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ -5/98 H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* 9604/25 (pow H 2))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (+ (* 98/5 (* H (pow v 2))) (* 9604/25 (pow H 2)))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (+ (* 9604/25 (pow H 2)) (* (pow v 2) (+ (* 98/5 H) (pow v 2))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (+ (* 98/5 H) (pow v 2)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ -5/98 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))))
#s(approx (- (* 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 (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -941192/125 (pow H 3))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (+ (* -941192/125 (pow H 3)) (pow v 6))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* 98/5 (* H (pow v 2)))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* (pow v 2) (+ (* 98/5 H) (pow v 2)))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 1))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -1/2) #s(hole binary64 (/ 1 v)))
#s(approx (pow (+ (* v v) (* H -98/5)) -1/2) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (/ 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 (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ 1 v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 v))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -1 (/ (+ (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H)))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
v
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (pow (+ (* v v) (* H -98/5)) -1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (* H -98/5) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (+ (* -941192/125 (pow H 3)) (pow v 6)) (* (* v v) (+ (* 98/5 H) (* v v))))
7.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (pow (+ (* v v) (* H -98/5)) -1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (* H -98/5) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (+ (* -941192/125 (pow H 3)) (pow v 6)) (* (* v v) (+ (* 98/5 H) (* v v))))
7.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (pow (+ (* v v) (* H -98/5)) -1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (* H -98/5) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (+ (* -941192/125 (pow H 3)) (pow v 6)) (* (* v v) (+ (* 98/5 H) (* v v))))
5.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (pow (+ (* v v) (* H -98/5)) -1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (* H -98/5) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (+ (* -941192/125 (pow H 3)) (pow v 6)) (* (* v v) (+ (* 98/5 H) (* v v))))
4.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (pow (+ (* v v) (* H -98/5)) -1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (* H -98/5) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (+ (* -941192/125 (pow H 3)) (pow v 6)) (* (* v v) (+ (* 98/5 H) (* v v))))

simplify212.0ms (4.3%)

Memory
-9.9MiB live, 271.9MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105311248
1282310853
0820510056
Stop Event
1×iter limit
1×node limit
Counts
272 → 272
Calls
Call 1
Inputs
#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 (+ (* v v) (* H -98/5)) -1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (/ 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 (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))))
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#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H))))))) H)) (+ (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) (pow H 2)) (/ (* (exp (* 1/4 (+ (log -98/5) (* -1 (log (/ 1 H)))))) (+ (* -125/11294304 (pow v 6)) (+ (* -125/361417728 (pow v 6)) (* 125/30118144 (pow v 6))))) (pow H 3)))))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -125/941192 (/ (pow v 4) (pow H 2)))) 5/98) H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* -625/92236816 (/ (pow v 6) (pow H 3))))) 5/98) H)))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* 98/5 (/ (pow v 2) H))))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2)))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (+ (* 98/5 H) (pow v 2)))) (- (pow v 6) (* 941192/125 (pow H 3)))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* H (- (/ (pow v 2) H) 98/5))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* (pow H 3) (- (/ (pow v 6) (pow H 3)) 941192/125))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 98/5 (pow v 2)) (/ (pow v 4) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -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 (/ 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 (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -1 (/ (+ (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) 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 (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -1/2) v) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
#s(approx (* (pow (+ (* v v) (* H -98/5)) -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 (+ (* v v) (* H -98/5)) -1/2) v) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
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#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (fma.f64 (*.f64 (/.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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -5/392 (/ (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (fma.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 v v)) H) #s(literal -5/392 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4)))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (*.f64 #s(literal 5/392 binary64) (*.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64))) (neg.f64 H))) H)))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) #s(hole binary64 (+ (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -125/30118144 (pow v 6)) (+ (* 125/361417728 (pow v 6)) (* 125/11294304 (pow v 6))))) H)) (* (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H)))))) (+ (* -25/76832 (pow v 4)) (* 25/307328 (pow v 4))))) H)) (* 5/392 (* (pow v 2) (exp (* 1/4 (+ (log 98/5) (* -1 (log (/ -1 H))))))))) H)))))
#s(approx (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (*.f64 #s(literal 5/392 binary64) (*.f64 v v)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -75/307328 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125/17210368 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal 98/5 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) H))))) (neg.f64 H))) (neg.f64 H))) H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.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)) (neg.f64 H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -1 (/ (+ (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64))) (neg.f64 H))) H)) (neg.f64 H)))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H))))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (*.f64 (-.f64 #s(literal 9604/25 binary64) (/.f64 (fma.f64 (*.f64 v v) #s(literal -98/5 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (neg.f64 H))) H)) (*.f64 H H)))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 binary64) #s(literal 5/98 binary64)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.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)) (neg.f64 H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64) (*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64))) (neg.f64 H))) H)) (neg.f64 H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) #s(hole binary64 (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 (fma.f64 (*.f64 (/.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))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.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))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (neg.f64 (pow.f64 H #s(literal 3 binary64))) (-.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H)))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 v v) #s(literal -98/5 binary64) (/.f64 (pow.f64 v #s(literal 4 binary64)) (neg.f64 H)))))

rewrite43.0ms (0.9%)

Memory
13.4MiB live, 68.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057440
087383
0277383
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
25 → 71
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(*.f64 H #s(literal -98/5 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) v))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) v)
(*.f64 v (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)))
(pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(atan.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 v) (neg.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))))
(/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/8 binary64)))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))) (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))))
(fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(+.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (*.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))) (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (-.f64 (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))) (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))))
(fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(fma.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(fma.f64 #s(literal 9604/25 binary64) (*.f64 H H) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(+.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(+.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)))) v))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))))
(pow.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 (fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (pow.f64 v #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (-.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 v #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (pow.f64 v #s(literal 6 binary64))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)))
(fma.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64) (pow.f64 v #s(literal 6 binary64)))
(fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))
(+.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)) (pow.f64 v #s(literal 6 binary64)))
(+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)))
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))
(*.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))
(*.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) (*.f64 (*.f64 v v) (*.f64 v v)))

eval59.0ms (1.2%)

Memory
6.5MiB live, 97.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 18 061 to 1 912 computations (89.4% saved)

prune13.0ms (0.3%)

Memory
-0.9MiB live, 45.8MiB allocated; 2ms collecting garbage
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New3395344
Fresh213
Picked235
Done055
Total34314357
Accuracy
100.0%
Counts
357 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓63.5%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
✓33.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
▶36.8%
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
▶34.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓39.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓34.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓39.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
▶33.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
✓63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
▶15.7%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
▶28.3%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
✓33.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 557 to 407 computations (26.9% saved)

simplify124.0ms (2.5%)

Memory
14.1MiB live, 115.7MiB allocated; 7ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
cost-diff2
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
cost-diff2
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
cost-diff0
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
cost-diff0
(atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
cost-diff1
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
cost-diff2
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
cost-diff0
(/.f64 H (*.f64 v v))
cost-diff0
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
cost-diff0
#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)))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
cost-diff0
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
cost-diff0
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
cost-diff0
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069691
0103657
1178638
2512638
32088638
46893638
08514595
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
v
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(/.f64 H v)
H
#s(literal -49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal 49/5 binary64)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -25/9604 binary64) H)
#s(literal -25/9604 binary64)
H
(/.f64 (*.f64 v v) H)
(*.f64 v v)
v
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
#s(literal 1/2 binary64)
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))))
#s(literal 1 binary64)
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))
(*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))
#s(literal -941192/125 binary64)
(pow.f64 H #s(literal 3 binary64))
H
#s(literal 3 binary64)
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(*.f64 H H)
#s(literal 9604/25 binary64)
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 v v)
v
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
#s(literal 98/5 binary64)
Outputs
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
v
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(/.f64 H v)
H
#s(literal -49/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(/.f64 (/.f64 H v) v)
H
(*.f64 v v)
v
#s(literal 49/5 binary64)
#s(literal 1 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/.f64 #s(literal -25/9604 binary64) H)
#s(literal -25/9604 binary64)
H
(/.f64 (*.f64 v v) H)
(*.f64 v v)
v
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
#s(literal 1/2 binary64)
v
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))) v))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))) v)
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(sqrt.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 (fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)))
(*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))
(*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))
#s(literal -941192/125 binary64)
(pow.f64 H #s(literal 3 binary64))
H
#s(literal 3 binary64)
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(fma.f64 (fma.f64 #s(literal 9604/25 binary64) H (*.f64 (*.f64 v v) #s(literal 98/5 binary64))) H (pow.f64 v #s(literal 4 binary64)))
(*.f64 H H)
#s(literal 9604/25 binary64)
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) v) v)
(*.f64 v v)
v
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))
#s(literal 98/5 binary64)

localize244.0ms (4.9%)

Memory
-26.0MiB live, 257.3MiB allocated; 21ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.247399585739508
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
accuracy21.770810627607112
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
accuracy38.68294775874496
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))
accuracy48.16686270594505
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
accuracy0.19921875
(/.f64 #s(literal -5/98 binary64) H)
accuracy0.2578125
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
accuracy21.774716877607112
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
accuracy44.43069606971424
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
accuracy3.1746672989373605
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
accuracy6.989165929253012
(/.f64 (*.f64 v v) H)
accuracy21.770810627607112
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
accuracy45.02127902982239
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
accuracy0.06869125976844201
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
accuracy7.2511634920652694
(/.f64 H (*.f64 v v))
accuracy42.32179762220275
#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)))
accuracy0.01171875
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
accuracy0.06640625
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
accuracy0.07421875
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
accuracy42.47517978524853
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
Samples
185.0ms255×0valid
1.0ms1×1valid
Compiler

Compiled 503 to 61 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-mult: 42.0ms (36% of total)
const: 23.0ms (19.7% of total)
ival-div: 14.0ms (12% of total)
ival-pow: 13.0ms (11.2% of total)
ival-atan: 9.0ms (7.7% of total)
ival-add: 7.0ms (6% of total)
ival-sqrt: 5.0ms (4.3% of total)
ival-sub: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (1%)

Memory
3.5MiB live, 54.8MiB allocated; 10ms collecting garbage
Counts
28 → 263
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 (*.f64 v v) H)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
Outputs
#s(approx (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* (sqrt H) (sqrt -98/5))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -49/5 (/ H v))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (/ (+ (* -49/5 H) (pow v 2)) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* 49/5 (/ H (pow v 2)))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (/ -5/98 H)))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (sqrt -5/98))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ -5/98 H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))))
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#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -1 (/ (+ (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H)))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
H
@inf
((atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ (* v v) H) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -941192/125 (pow H 3)) (pow v 6)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (* (* v v) (+ (* 98/5 H) (* v v))))
7.0ms
H
@0
((atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ (* v v) H) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -941192/125 (pow H 3)) (pow v 6)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (* (* v v) (+ (* 98/5 H) (* v v))))
4.0ms
v
@0
((atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ (* v v) H) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -941192/125 (pow H 3)) (pow v 6)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (* (* v v) (+ (* 98/5 H) (* v v))))
4.0ms
v
@inf
((atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ (* v v) H) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -941192/125 (pow H 3)) (pow v 6)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (* (* v v) (+ (* 98/5 H) (* v v))))
4.0ms
H
@-inf
((atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (+ (* (/ H v) -49/5) v) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) (/ 1 (+ (* -98/5 H) (* v v))) (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) (/ (* v v) H) (/ 1 (+ (* -98/5 H) (* v v))) (/ -5/98 H) (+ (* -941192/125 (pow H 3)) (pow v 6)) (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (* (* v v) (+ (* 98/5 H) (* v v))))

simplify251.0ms (5%)

Memory
-7.1MiB live, 272.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090310705
1231510152
084089381
Stop Event
1×iter limit
1×node limit
Counts
263 → 263
Calls
Call 1
Inputs
#s(approx (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
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#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2))))
#s(approx (/ H (* v v)) #s(hole binary64 (/ H (pow v 2))))
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#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
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#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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)))))))))))
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#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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))))))))))
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#s(approx (/ (* v v) H) #s(hole binary64 (/ (pow v 2) H)))
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#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 1))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 v))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 v))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 1))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 1))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (* -25/9604 (/ (pow v 2) (pow H 2)))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (* -1 (* (pow v 2) (+ (* 25/9604 (/ 1 (pow H 2))) (* 5/98 (/ 1 (* H (pow v 2)))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 1))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (* 49/5 (/ H (pow v 2))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) #s(hole binary64 (/ 1 v)))
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#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) #s(hole binary64 1))
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#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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)))))))
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#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (atan (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (atan (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v)) #s(hole binary64 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))))
#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -125/941192 (/ (pow v 4) (pow H 2)))) 5/98) H)))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (/ (- (+ (* -25/9604 (/ (pow v 2) H)) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* -625/92236816 (/ (pow v 6) (pow H 3))))) 5/98) H)))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* 98/5 (/ (pow v 2) H))))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2)))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (+ (* 98/5 H) (pow v 2)))) (- (pow v 6) (* 941192/125 (pow H 3)))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* (pow H 3) (- (/ (pow v 6) (pow H 3)) 941192/125))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* H (+ (* 98/5 (pow v 2)) (/ (pow v 4) H)))))
#s(approx (atan (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4))) #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 (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #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 (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) #s(hole binary64 (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))))
#s(approx (+ (* (/ H v) -49/5) v) #s(hole binary64 (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) #s(hole binary64 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (+ (* (/ H (* v v)) 49/5) 1) #s(hole binary64 (* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))))
#s(approx (+ (* (/ -25/9604 H) (/ (* v v) H)) (/ -5/98 H)) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (* (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) v) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 1/2) v) #s(hole binary64 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
#s(approx (* (pow (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (/ 1 (+ (* -98/5 H) (* v v))) 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) H))) H))))
#s(approx (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v))))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (+ (* -1 (/ (+ (* 625/92236816 (/ (pow v 6) H)) (* 125/941192 (pow v 4))) H)) (* -25/9604 (pow v 2))) H))) H))))
#s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) #s(hole binary64 (* (pow H 2) (+ 9604/25 (* -1 (/ (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H))) H))))))
#s(approx (atan (* (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) v)) #s(hole binary64 (atan (* v (sqrt (/ (+ (* 9604/25 (pow H 2)) (* (pow v 2) (- (pow v 2) (* -98/5 H)))) (+ (* -941192/125 (pow H 3)) (pow v 6))))))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) #s(hole binary64 (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H)))))))
Outputs
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#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (fma.f64 (*.f64 #s(literal -125/1882384 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 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (/ 1 (+ (* -98/5 H) (* v v)))) #s(hole binary64 (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (pow (/ 1 (+ (* -98/5 H) (* v v))) 1/2) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 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 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.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))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) #s(hole binary64 (* -1 (* (pow H 3) (+ 941192/125 (* -1 (/ (pow v 6) (pow H 3))))))))
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (neg.f64 (pow.f64 H #s(literal 3 binary64))) (-.f64 #s(literal 941192/125 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) #s(hole binary64 (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 #s(literal -125/1882384 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 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 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 (* (/ 1 (+ (* -941192/125 (pow H 3)) (pow v 6))) (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 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 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.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))))) (neg.f64 (pow.f64 H #s(literal 3 binary64)))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) #s(hole binary64 (* -1 (* H (+ (* -98/5 (pow v 2)) (* -1 (/ (pow v 4) H)))))))
#s(approx (* (* v v) (+ (* 98/5 H) (* v v))) (*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal -98/5 binary64) v) v (/.f64 (pow.f64 v #s(literal 4 binary64)) (neg.f64 H)))))

rewrite43.0ms (0.9%)

Memory
34.5MiB live, 79.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069581
0103544
0327521
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
28 → 79
Calls
Call 1
Inputs
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 (*.f64 v v) H)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
Outputs
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 (neg.f64 v) (neg.f64 #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
#s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (*.f64 v v)) (-.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) #s(literal 3 binary64)) (pow.f64 v #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(+.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 49/5 binary64) (/.f64 (/.f64 H v) v) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 H v) v) #s(literal 49/5 binary64)))
(/.f64 (neg.f64 H) (neg.f64 (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 H (*.f64 v v))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H))) (*.f64 (/.f64 #s(literal -5/98 binary64) H) (/.f64 #s(literal -5/98 binary64) H))) (-.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (-.f64 (*.f64 (/.f64 #s(literal -5/98 binary64) H) (/.f64 #s(literal -5/98 binary64) H)) (*.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (/.f64 #s(literal -5/98 binary64) H)))))
(fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H))
(fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H))
(+.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)) (/.f64 #s(literal -5/98 binary64) H))
(+.f64 (/.f64 #s(literal -5/98 binary64) H) (*.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H)))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))))
(fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(+.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (*.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))) (-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (-.f64 (*.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))) (*.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))))))
(fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(fma.f64 #s(literal 9604/25 binary64) (*.f64 H H) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(fma.f64 H (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
(-.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (neg.f64 (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(+.f64 (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)))
(+.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v)) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64)))) v))
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H)))
(pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 (*.f64 v v) H) (/.f64 #s(literal -25/9604 binary64) H) (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 v (/.f64 v H))
(/.f64 (neg.f64 (*.f64 v v)) (neg.f64 H))
(/.f64 (*.f64 v v) H)
#s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H)))))
(pow.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))) (pow.f64 #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -941192/125 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 v v))
(*.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))
(*.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(fma.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))
(+.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) (*.f64 (*.f64 v v) (*.f64 v v)))

eval39.0ms (0.8%)

Memory
-12.0MiB live, 84.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 14 101 to 1 571 computations (88.9% saved)

prune47.0ms (0.9%)

Memory
-8.9MiB live, 37.6MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New2602262
Fresh011
Picked145
Done088
Total26115276
Accuracy
100.0%
Counts
276 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.3%
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓63.5%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
✓33.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
✓36.8%
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
✓34.4%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
✓39.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
✓34.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
✓39.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
✓63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
✓33.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
✓63.5%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
13.4%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) v)))
✓28.3%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
✓33.8%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
32.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64))) v)))
Compiler

Compiled 1 054 to 489 computations (53.6% saved)

regimes33.0ms (0.7%)

Memory
27.9MiB live, 74.7MiB allocated; 2ms collecting garbage
Counts
24 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 #s(literal -25/9604 binary64) H) (/.f64 (*.f64 v v) H) (/.f64 #s(literal -5/98 binary64) H)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64)) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) #s(approx (+ (* (* H H) 9604/25) (* (* v v) (+ (* 98/5 H) (* v v)))) (*.f64 #s(literal 9604/25 binary64) (*.f64 H H))))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* -941192/125 (pow H 3)) (pow v 6)) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64))))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (/.f64 v (pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64))) v)))
(atan.f64 (/.f64 v (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))))
(atan.f64 (/.f64 v (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v))))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) v)))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64)))))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
6.0ms
H
6.0ms
v
6.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
5.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
66.9%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
81.8%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
81.8%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
99.4%3v
66.9%2H
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory
-41.4MiB live, 10.4MiB allocated; 6ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 (/.f64 v #s(approx (* (pow (- (* v v) (* (* 2 49/5) H)) 1/4) (pow (- (* v v) (* (* 2 49/5) H)) 1/4)) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
Calls

1 calls:

7.0ms
v
Results
AccuracySegmentsBranch
91.8%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
91.8%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
v
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
2.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
54.5%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
54.5%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
72.2%2v
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
v
1.0ms
H
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
39.9%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
39.9%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
39.9%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
39.9%1H
39.9%1v
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch13.0ms (0.3%)

Memory
-15.5MiB live, 31.4MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
2.0ms
9.001006775715084e+93
8.821854475925134e+97
9.0ms
-8.462005737336295e+158
-2.8520713460652704e+151
Samples
8.0ms80×0valid
0.0ms2×0invalid
Compiler

Compiled 141 to 131 computations (7.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (33.2% of total)
ival-div: 1.0ms (16.6% of total)
ival-atan: 1.0ms (16.6% of total)
ival-sqrt: 1.0ms (16.6% of total)
const: 1.0ms (16.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch42.0ms (0.8%)

Memory
4.6MiB live, 96.8MiB allocated; 8ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.5404428069832933e-63
6.811825283809262e-62
20.0ms
-9.998233494585107e-53
-9.523205135064871e-57
Samples
23.0ms224×0valid
4.0ms60×0invalid
Compiler

Compiled 690 to 560 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (31.5% of total)
const: 4.0ms (25.2% of total)
ival-div: 2.0ms (12.6% of total)
ival-atan: 2.0ms (12.6% of total)
ival-sqrt: 2.0ms (12.6% of total)
ival-sub: 1.0ms (6.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
4.5404428069832933e-63
6.811825283809262e-62
1.0ms
-9.998233494585107e-53
-9.523205135064871e-57
Compiler

Compiled 660 to 548 computations (17% saved)

bsearch51.0ms (1%)

Memory
-5.9MiB live, 94.4MiB allocated; 49ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
-5.866146468961845e-297
-6.872304492838295e-305
Samples
31.0ms144×0valid
8.0ms110×0invalid
Compiler

Compiled 286 to 268 computations (6.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.6% of total)
const: 3.0ms (22.5% of total)
ival-sqrt: 2.0ms (15% of total)
ival-div: 1.0ms (7.5% of total)
ival-atan: 1.0ms (7.5% of total)
ival-sub: 1.0ms (7.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify49.0ms (1%)

Memory
-7.9MiB live, 86.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057218
176218
2136218
3325218
41202218
54414218
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))))
(if (<=.f64 v #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -3459022883669859/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Outputs
(if (<=.f64 v #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))))
(if (<=.f64 v #s(literal -336999333339383/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 7873862068137501/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* -98/5 H) (* v v))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -3459022883669859/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

derivations179.0ms (3.6%)

Memory
-18.6MiB live, 222.2MiB allocated; 14ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 240 to 58 computations (75.8% saved)

preprocess30.0ms (0.6%)

Memory
25.2MiB live, 71.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 506 to 138 computations (72.7% saved)

end0.0ms (0%)

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

Profiling

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