Optimal throwing angle

Time bar (total: 9.3s)

analyze42.0ms (0.5%)

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

Compiled 16 to 12 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 8.0ms (34.1% of total)
...c/correct-round.rkt:119:19: 5.0ms (21.3% of total)
ival-sqrt: 4.0ms (17.1% of total)
ival-sub: 2.0ms (8.5% of total)
ival-atan: 2.0ms (8.5% of total)
ival-div: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (14.9%)

Results
1.1s8256×0valid
11.0ms95×0invalid
Precisions
Click to see histograms. Total time spent on operations: 764.0ms
ival-mult: 239.0ms (31.3% of total)
...c/correct-round.rkt:119:19: 164.0ms (21.5% of total)
ival-atan: 127.0ms (16.6% of total)
ival-sqrt: 83.0ms (10.9% of total)
ival-div: 78.0ms (10.2% of total)
ival-sub: 55.0ms (7.2% of total)
const: 14.0ms (1.8% of total)
backward-pass: 4.0ms (0.5% of total)
Bogosity

preprocess110.0ms (1.2%)

Algorithm
egg-herbie
Rules
880×fnmadd-define
684×fmsub-define
640×fnmsub-define
598×fma-define
548×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266
18064
215858
333858
479758
5134258
6203958
7278458
8297558
9308058
10318958
11323758
01210
12210
2339
3499
4729
51189
62149
73749
85399
98159
1010549
1113179
1214229
1314699
1415169
1515409
015409
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
Outputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
Call 2
Inputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H)))))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H))))))
(neg (atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H))))))
(neg (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H)))))))
(atan (/ H (sqrt (- (* H H) (* (* 2 49/5) v)))))
Outputs
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))))
(atan (* v (rsqrt (fma H -98/5 (square v)))))
(atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H)))))
(atan (* (neg v) (rsqrt (fma H -98/5 (square v)))))
(atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H))))))
(atan (* v (rsqrt (fma 98/5 H (square v)))))
(neg (atan (/ (neg v) (sqrt (- (* (neg v) (neg v)) (* (* 2 49/5) H))))))
(neg (atan (* (neg v) (rsqrt (fma H -98/5 (square v))))))
(neg (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) (neg H)))))))
(neg (atan (* v (rsqrt (fma 98/5 H (square v))))))
(atan (/ H (sqrt (- (* H H) (* (* 2 49/5) v)))))
(atan (* H (rsqrt (fma v -98/5 (square H)))))

explain164.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
800-0-(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
00-0-(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
00-0-#s(literal 49/5 binary64)
00-0-H
00-0-(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
00-0-v
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-(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
00-0-(*.f64 v v)
Results
111.0ms500×0valid
11.0ms12×5exit
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 21.0ms (36.1% of total)
...c/correct-round.rkt:119:19: 13.0ms (22.3% of total)
ival-div: 9.0ms (15.5% of total)
ival-atan: 6.0ms (10.3% of total)
ival-sqrt: 5.0ms (8.6% of total)
ival-sub: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
cost-diff0
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
Rules
fma-lowering-fma.f32
fma-define
*-lowering-*.f32
*-lowering-*.f64
fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
11336
21536
01536
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
v
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* v v)
(* H -98/5)
H
-98/5
Outputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt (+ (* v v) (* H -98/5)))
(sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
(+ (* v v) (* H -98/5))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(* v v)
(*.f64 v v)
(* H -98/5)
(*.f64 H #s(literal -98/5 binary64))
H
-98/5
#s(literal -98/5 binary64)

localize54.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
accuracy99.8%
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
accuracy99.3%
(*.f64 H #s(literal -98/5 binary64))
accuracy70.8%
(sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
Results
36.0ms250×0valid
5.0ms5exit
Compiler

Compiled 48 to 10 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 7.0ms (25.4% of total)
ival-atan: 7.0ms (25.4% of total)
...c/correct-round.rkt:119:19: 5.0ms (18.1% of total)
ival-add: 3.0ms (10.9% of total)
ival-div: 2.0ms (7.3% of total)
ival-sqrt: 2.0ms (7.3% of total)
backward-pass: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (atan (/ v (sqrt (+ (* v v) (* H -98/5)))))>
#<alt (/ v (sqrt (+ (* v v) (* H -98/5))))>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (+ (* v v) (* H -98/5))>
#<alt (* H -98/5)>
Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))>
#<alt (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))>
#<alt (* -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))))))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))>
#<alt (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
Calls

27 calls:

TimeVariablePointExpression
9.0ms
H
@-inf
(sqrt (+ (* v v) (* H -98/5)))
2.0ms
v
@0
(/ v (sqrt (+ (* v v) (* H -98/5))))
2.0ms
H
@-inf
(/ v (sqrt (+ (* v v) (* H -98/5))))
1.0ms
H
@inf
(/ v (sqrt (+ (* v v) (* H -98/5))))
1.0ms
H
@0
(/ v (sqrt (+ (* v v) (* H -98/5))))

rewrite346.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
3026×*-lowering-*.f32
3026×*-lowering-*.f64
1716×sum5-define
1684×pow-lowering-pow.f64
1684×pow-lowering-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0935
13831
227631
3278531
0818731
Stop Event
iter limit
node limit
Counts
5 → 170
Calls
Call 1
Inputs
(atan (/ v (sqrt (+ (* v v) (* H -98/5)))))
(/ v (sqrt (+ (* v v) (* H -98/5))))
(sqrt (+ (* v v) (* H -98/5)))
(+ (* v v) (* H -98/5))
(* H -98/5)
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (neg.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 H (*.f64 H H)))) #s(literal -833747762130149888/1953125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)) (-.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))) (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 H H) (*.f64 H H)) #s(literal 92236816/625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
(*.f64 (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))))
(*.f64 (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
(*.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))
(*.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 H (-.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) #s(literal -98/5 binary64)))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (-.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) #s(literal -98/5 binary64)))) (-.f64 (*.f64 H (-.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) #s(literal -98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (*.f64 (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))
(*.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 H (+.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) #s(literal -98/5 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 H H) (*.f64 H H)) #s(literal 92236816/625 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 H (*.f64 H H)))) #s(literal -833747762130149888/1953125 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)) (-.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 H (*.f64 H H)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal 885842380864/15625 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)

simplify324.0ms (3.5%)

Algorithm
egg-herbie
Rules
5962×*-lowering-*.f32
5962×*-lowering-*.f64
2986×+-lowering-+.f64
2986×+-lowering-+.f32
2638×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03231685
110041540
236611524
081731524
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (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)))))))
(+ (* (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)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -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))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -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))))))
(* -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)))))))
(* -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))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) #s(literal -25/19208 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))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 H H)) H)))) (sqrt.f64 #s(literal -5/98 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))))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v (*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (+.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -3125/72313663744 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 3125/18078415936 binary64) (*.f64 H (*.f64 H H)))) (*.f64 H #s(literal -5/98 binary64))) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 H H)) H)) (sqrt.f64 #s(literal -5/98 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))))
(+ 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))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (+.f64 (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))
(- (+ (* -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)
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (+.f64 (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 H #s(literal 7203/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal 117649/50 binary64)) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) #s(literal -25/19208 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)))))
(+.f64 (*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) #s(literal -25/19208 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal -125/1882384 binary64)) (sqrt.f64 #s(literal -5/98 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))))))
(+.f64 (*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) #s(literal -25/19208 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) #s(literal -125/1882384 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (+.f64 (*.f64 v (*.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -25/19208 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))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 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))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))) (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -25/19208 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 H) #s(literal 125/1882384 binary64)) (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (+.f64 (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))))) (*.f64 H (*.f64 H H)))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+.f64 (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (sqrt.f64 #s(literal -98/5 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)))))))
(+.f64 (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal 5/784 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)))))))))
(+.f64 (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 v (*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 v (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) (-.f64 #s(literal 0 binary64) v))
(* -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))))))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (+.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))
v
(+ v (* -49/5 (/ H v)))
(+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(+.f64 v (*.f64 H (+.f64 (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal -49/5 binary64) v))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(*.f64 H (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 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)))))
(*.f64 H (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 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))))))
(*.f64 H (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 98/5 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))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (-.f64 #s(literal 0 binary64) H))
(* -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)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -5/784 binary64)))) (-.f64 #s(literal 0 binary64) H))
(* -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))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -5/784 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)))))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)

eval36.0ms (0.4%)

Compiler

Compiled 8118 to 1143 computations (85.9% saved)

prune41.0ms (0.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New26315278
Fresh000
Picked011
Done000
Total26316279
Accuracy
100.0%
Counts
279 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(atan.f64 (pow.f64 (pow.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
68.0%
(atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
67.7%
(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
33.1%
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
33.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
38.5%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
23.6%
(atan.f64 (/.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
33.5%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
68.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
44.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
67.7%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.4%
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
68.0%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
68.1%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
29.5%
(atan.f64 #s(literal 1 binary64))
34.4%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 469 to 319 computations (32% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
cost-diff0
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
cost-diff128
(*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))
cost-diff128
(+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))
cost-diff128
(/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))))
cost-diff128
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
cost-diff0
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
cost-diff0
(+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
cost-diff0
(/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
cost-diff0
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
cost-diff0
(atan.f64 #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
cost-diff0
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
cost-diff0
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
Rules
218×fma-define
194×fma-lowering-fma.f32
194×fma-lowering-fma.f64
186×*-lowering-*.f32
186×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035232
165221
2116215
3200215
4286211
5330211
6340211
7356211
8357211
0357211
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
v
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
1
(+ (* -98/5 H) (* v v))
(* -98/5 H)
-98/5
H
(* v v)
(atan -1)
-1
(atan (/ v (+ v (/ (* H -49/5) v))))
(/ v (+ v (/ (* H -49/5) v)))
v
(+ v (/ (* H -49/5) v))
(/ (* H -49/5) v)
(* H -49/5)
H
-49/5
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
v
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
H
(+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))
(/ (* (/ H (* v v)) -2401/50) v)
(* (/ H (* v v)) -2401/50)
(/ H (* v v))
(* v v)
-2401/50
(/ -49/5 v)
-49/5
(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)
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5
-1/2
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
v
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(/ 1 (+ (* -98/5 H) (* v v)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))
1
#s(literal 1 binary64)
(+ (* -98/5 H) (* v v))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
-98/5
#s(literal -98/5 binary64)
H
(* v v)
(*.f64 v v)
(atan -1)
(atan.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(atan (/ v (+ v (/ (* H -49/5) v))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(/ v (+ v (/ (* H -49/5) v)))
(/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
v
(+ v (/ (* H -49/5) v))
(+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))
(/ (* H -49/5) v)
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
H
-49/5
#s(literal -49/5 binary64)
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))) v))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
(/.f64 v (+.f64 v (/.f64 (*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))) v)))
v
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(+.f64 v (/.f64 (*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))) v))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
(/.f64 (*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v))) v)
H
(+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v) v) (/.f64 #s(literal -49/5 binary64) v))
(/ (* (/ H (* v v)) -2401/50) v)
(/.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v) v)
(* (/ H (* v v)) -2401/50)
(/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v)
(/ H (* v v))
(/.f64 H (*.f64 v v))
(* v v)
(*.f64 v v)
-2401/50
#s(literal -2401/50 binary64)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
-49/5
#s(literal -49/5 binary64)
(atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))
(atan.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))))
(* (pow (+ (* v v) (* H -98/5)) -1/2) v)
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(pow (+ (* v v) (* H -98/5)) -1/2)
(pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))
(+ (* v v) (* H -98/5))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(* v v)
(*.f64 v v)
v
(* H -98/5)
(*.f64 #s(literal -98/5 binary64) H)
H
-98/5
#s(literal -98/5 binary64)
-1/2
#s(literal -1/2 binary64)

localize236.0ms (2.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
accuracy99.8%
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
accuracy99.3%
(*.f64 H #s(literal -98/5 binary64))
accuracy70.8%
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
accuracy99.6%
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
accuracy99.3%
(/.f64 #s(literal -49/5 binary64) v)
accuracy97.6%
(*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v)))
accuracy87.0%
(/.f64 H (*.f64 v v))
accuracy100.0%
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
accuracy99.9%
(/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
accuracy99.3%
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
accuracy99.3%
(*.f64 H #s(literal -49/5 binary64))
accuracy100.0%
(atan.f64 #s(literal -1 binary64))
accuracy99.8%
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
accuracy99.3%
(*.f64 #s(literal -98/5 binary64) H)
accuracy98.8%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
accuracy72.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
Results
165.0ms250×0valid
19.0ms5exit
Compiler

Compiled 268 to 36 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-div: 45.0ms (38.8% of total)
ival-mult: 17.0ms (14.7% of total)
...c/correct-round.rkt:119:19: 16.0ms (13.8% of total)
ival-pow: 13.0ms (11.2% of total)
ival-atan: 11.0ms (9.5% of total)
ival-add: 7.0ms (6% of total)
ival-sqrt: 3.0ms (2.6% of total)
backward-pass: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)

series66.0ms (0.7%)

Counts
23 → 480
Calls
Call 1
Inputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))>
#<alt (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))>
#<alt (sqrt (/ 1 (+ (* -98/5 H) (* v v))))>
#<alt (/ 1 (+ (* -98/5 H) (* v v)))>
#<alt (atan -1)>
#<alt (atan (/ v (+ v (/ (* H -49/5) v))))>
#<alt (/ v (+ v (/ (* H -49/5) v)))>
#<alt (+ v (/ (* H -49/5) v))>
#<alt (/ (* H -49/5) v)>
#<alt (atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))>
#<alt (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))>
#<alt (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))>
#<alt (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))>
#<alt (atan (* (pow (+ (* v v) (* H -98/5)) -1/2) v))>
#<alt (* (pow (+ (* v v) (* H -98/5)) -1/2) v)>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (+ (* v v) (* H -98/5))>
#<alt (* -98/5 H)>
#<alt (* H -49/5)>
#<alt (/ H (* v v))>
#<alt (/ -49/5 v)>
#<alt (* (/ H (* v v)) -2401/50)>
#<alt (* H -98/5)>
Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 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)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -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)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (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)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
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#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 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)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -2401/50 (/ H (pow v 2)))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
Calls

120 calls:

TimeVariablePointExpression
31.0ms
H
@inf
(* (/ H (* v v)) -2401/50)
4.0ms
H
@inf
(+ v (/ (* H -49/5) v))
1.0ms
H
@inf
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
1.0ms
H
@-inf
(atan (/ v (+ v (/ (* H -49/5) v))))
1.0ms
v
@0
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))

rewrite432.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
4778×*-lowering-*.f32
4778×*-lowering-*.f64
3272×/-lowering-/.f32
3272×/-lowering-/.f64
3002×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035185
1190169
21721165
09437165
Stop Event
iter limit
node limit
Counts
23 → 570
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (* v v))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(/ 1 (+ (* -98/5 H) (* v v)))
(atan -1)
(atan (/ v (+ v (/ (* H -49/5) v))))
(/ v (+ v (/ (* H -49/5) v)))
(+ v (/ (* H -49/5) v))
(/ (* H -49/5) v)
(atan (/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))))
(/ v (+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))))
(+ v (* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v))))
(* H (+ (/ (* (/ H (* v v)) -2401/50) v) (/ -49/5 v)))
(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)
(+ (* v v) (* H -98/5))
(* -98/5 H)
(* H -49/5)
(/ H (* v v))
(/ -49/5 v)
(* (/ H (* v v)) -2401/50)
(* H -98/5)
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (*.f64 #s(literal 1 binary64) v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (*.f64 v #s(literal 1 binary64)) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) v)
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) v))
(*.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/4 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/4 binary64))))
(fabs.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))))
(pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))
(/.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(/.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))))
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
(/.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) (neg.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) (neg.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))))
(/.f64 (neg.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))) (neg.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) (neg.f64 (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))))) (exp.f64 (log.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))))
(/.f64 (exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))))) (exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))))) (exp.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))))) (exp.f64 (log.f64 (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)))) (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)) (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal -98/5 binary64) H) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(*.f64 (+.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))))
(*.f64 (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))))
(*.f64 (-.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
(*.f64 H #s(literal -49/5 binary64))
(*.f64 #s(literal -49/5 binary64) H)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 v v) H)) #s(literal -1 binary64)))
(neg.f64 (/.f64 H (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) H) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) H))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 v v) H) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 H v)))
(/.f64 H (*.f64 v v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 v v) H)))
(/.f64 (-.f64 #s(literal 0 binary64) H) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (/.f64 H v) v)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) H)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 H v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 H #s(literal 1 binary64)) (*.f64 v v))
(pow.f64 (/.f64 (*.f64 v v) H) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 v v) H) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 v (/.f64 H v)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v)))
(*.f64 H (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (-.f64 #s(literal 0 binary64) H) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))
(*.f64 (/.f64 H v) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) H)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (pow.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 v #s(literal -49/5 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 49/5 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 v #s(literal -49/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v #s(literal -49/5 binary64))))
(/.f64 #s(literal -49/5 binary64) v)
(/.f64 #s(literal -49/5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) v))
(*.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -49/5 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 H #s(literal -2401/50 binary64))))
(/.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 v v) H))
(/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v v))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) H) #s(literal -2401/50 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (*.f64 (/.f64 H v) #s(literal -2401/50 binary64)) v)
(/.f64 (neg.f64 (*.f64 H #s(literal -2401/50 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (*.f64 #s(literal -2401/50 binary64) (-.f64 #s(literal 0 binary64) H)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (*.f64 #s(literal -2401/50 binary64) (/.f64 H v)) v)
(/.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) v) v)
(pow.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal -2401/50 binary64))) #s(literal -1 binary64))
(*.f64 H (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal -2401/50 binary64)))
(*.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v v)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(*.f64 #s(literal -2401/50 binary64) (/.f64 H (*.f64 v v)))
(*.f64 (*.f64 H #s(literal -2401/50 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 H v) (/.f64 #s(literal -2401/50 binary64) v))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))

simplify350.0ms (3.8%)

Algorithm
egg-herbie
Rules
4858×*-lowering-*.f32
4858×*-lowering-*.f64
2054×+-lowering-+.f64
2054×+-lowering-+.f32
1626×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06576651
120585967
267445936
081595936
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (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))))
(+ (* -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)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
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(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 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)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (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))))
(+ (* -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)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -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)))))
(+ (* -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)))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -2401/50 (/ H (pow v 2)))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (+.f64 (*.f64 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 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))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 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))))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 H) (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H)) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (+.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)) (*.f64 H (*.f64 #s(literal -49/5 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64)))))))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v) (/.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal 1/2 binary64)) (*.f64 v (*.f64 v (*.f64 v v))))))
(- (+ (* -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)
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1
#s(literal 1 binary64)
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-1
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1
#s(literal 1 binary64)
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(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (+.f64 #s(literal -98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (*.f64 (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal -1 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (*.f64 (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal -1 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (*.f64 (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)) #s(literal -1 binary64)))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -2401/50 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)

eval446.0ms (4.8%)

Compiler

Compiled 27825 to 3602 computations (87.1% saved)

prune142.0ms (1.5%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1034161050
Fresh4610
Picked145
Done011
Total1039271066
Accuracy
100.0%
Counts
1066 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
11.7%
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
12.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
11.7%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
33.5%
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
29.9%
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
33.1%
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
33.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
33.5%
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
13.4%
(atan.f64 (/.f64 v (*.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H))) (/.f64 #s(literal 1 binary64) (-.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
33.1%
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
38.5%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
33.5%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
28.6%
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
68.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
44.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
67.7%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.5%
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
68.0%
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64)) v))
68.0%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
67.8%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) v)))
44.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
11.7%
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v v) H) H) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
68.1%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
45.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
29.5%
(atan.f64 #s(literal 1 binary64))
34.4%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 754 to 506 computations (32.9% saved)

simplify164.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -5/98 binary64) H)
cost-diff0
(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
cost-diff0
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
cost-diff0
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
cost-diff0
(-.f64 #s(literal 0 binary64) v)
cost-diff256
(/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64))))
cost-diff256
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
cost-diff384
(*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))
cost-diff0
(+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))
cost-diff0
(/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
cost-diff0
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
cost-diff128
(*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
cost-diff0
(atan.f64 #s(literal 1 binary64))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff256
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64))
cost-diff256
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64)) v)
cost-diff256
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64)) v))
Rules
1554×sum3-define
1466×fma-define
1346×fnmadd-define
1314×*-lowering-*.f32
1314×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036190
178183
2170183
3473165
41932165
56144165
08032165
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan (* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v))
(* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v)
(pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2)
(/ 1 (/ 1 (+ (* v v) (* -98/5 H))))
1
(/ 1 (+ (* v v) (* -98/5 H)))
(+ (* v v) (* -98/5 H))
(* v v)
v
(* -98/5 H)
-98/5
H
-1/2
(atan 1)
1
(atan (/ v (* H (+ (/ v H) (/ -49/5 v)))))
(/ v (* H (+ (/ v H) (/ -49/5 v))))
v
(* H (+ (/ v H) (/ -49/5 v)))
H
(+ (/ v H) (/ -49/5 v))
(/ v H)
(/ -49/5 v)
-49/5
(atan (/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))))
(/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1)))
v
(* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))
(- 0 v)
0
(+ (/ (* H 49/5) (* v v)) -1)
(/ (* H 49/5) (* v v))
(* H 49/5)
H
49/5
(* v v)
-1
(atan (* v (sqrt (/ -5/98 H))))
(* v (sqrt (/ -5/98 H)))
v
(sqrt (/ -5/98 H))
(/ -5/98 H)
-5/98
H
Outputs
(atan (* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v))
(atan.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))))
(* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v)
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64)))
(pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2)
(pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/2 binary64))
(/ 1 (/ 1 (+ (* v v) (* -98/5 H))))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
1
#s(literal 1 binary64)
(/ 1 (+ (* v v) (* -98/5 H)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))
(+ (* v v) (* -98/5 H))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(* v v)
(*.f64 v v)
v
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
-98/5
#s(literal -98/5 binary64)
H
-1/2
#s(literal -1/2 binary64)
(atan 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan (/ v (* H (+ (/ v H) (/ -49/5 v)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (/.f64 #s(literal -49/5 binary64) v) v)))))
(/ v (* H (+ (/ v H) (/ -49/5 v))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (/.f64 #s(literal -49/5 binary64) v) v))))
v
(* H (+ (/ v H) (/ -49/5 v)))
(-.f64 v (*.f64 H (/.f64 #s(literal 49/5 binary64) v)))
H
(+ (/ v H) (/ -49/5 v))
(+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))
(/ v H)
(/.f64 v H)
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
-49/5
#s(literal -49/5 binary64)
(atan (/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (/.f64 #s(literal -49/5 binary64) v) v)))))
(/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 H (/.f64 (/.f64 #s(literal -49/5 binary64) v) v))))
v
(* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))
(-.f64 v (*.f64 H (/.f64 #s(literal 49/5 binary64) v)))
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
(+ (/ (* H 49/5) (* v v)) -1)
(+.f64 (/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v) #s(literal -1 binary64))
(/ (* H 49/5) (* v v))
(/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v)
(* H 49/5)
(*.f64 H #s(literal 49/5 binary64))
H
49/5
#s(literal 49/5 binary64)
(* v v)
(*.f64 v v)
-1
#s(literal -1 binary64)
(atan (* v (sqrt (/ -5/98 H))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(* v (sqrt (/ -5/98 H)))
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
v
(sqrt (/ -5/98 H))
(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
-5/98
#s(literal -5/98 binary64)
H

localize174.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
accuracy99.8%
(/.f64 #s(literal -5/98 binary64) H)
accuracy99.8%
(sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))
accuracy99.7%
(*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))
accuracy99.9%
(/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64))))
accuracy99.5%
(*.f64 H #s(literal 49/5 binary64))
accuracy91.5%
(*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))
accuracy89.8%
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
accuracy100.0%
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
accuracy99.9%
(/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
accuracy99.5%
(/.f64 #s(literal -49/5 binary64) v)
accuracy93.7%
(*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
accuracy100.0%
(atan.f64 #s(literal 1 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))))
accuracy99.5%
(*.f64 #s(literal -98/5 binary64) H)
accuracy99.3%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))
accuracy82.5%
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64))
Results
86.0ms187×0valid
27.0ms65×0invalid
11.0ms5exit
Compiler

Compiled 233 to 37 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
...c/correct-round.rkt:119:19: 18.0ms (22.5% of total)
ival-div: 16.0ms (20% of total)
ival-mult: 15.0ms (18.8% of total)
ival-atan: 10.0ms (12.5% of total)
ival-pow: 9.0ms (11.3% of total)
ival-sub: 4.0ms (5% of total)
ival-add: 4.0ms (5% of total)
ival-sqrt: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 1.0ms (1.3% of total)

series28.0ms (0.3%)

Counts
22 → 432
Calls
Call 1
Inputs
#<alt (atan (* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v))>
#<alt (* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v)>
#<alt (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2)>
#<alt (/ 1 (/ 1 (+ (* v v) (* -98/5 H))))>
#<alt (atan 1)>
#<alt (* H (+ (/ v H) (/ -49/5 v)))>
#<alt (atan (/ v (* H (+ (/ v H) (/ -49/5 v)))))>
#<alt (/ v (* H (+ (/ v H) (/ -49/5 v))))>
#<alt (+ (/ v H) (/ -49/5 v))>
#<alt (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))>
#<alt (atan (/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))))>
#<alt (/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1)))>
#<alt (- 0 v)>
#<alt (atan (* v (sqrt (/ -5/98 H))))>
#<alt (* v (sqrt (/ -5/98 H)))>
#<alt (sqrt (/ -5/98 H))>
#<alt (/ -5/98 H)>
#<alt (/ 1 (+ (* v v) (* -98/5 H)))>
#<alt (* -98/5 H)>
#<alt (/ -49/5 v)>
#<alt (/ (* H 49/5) (* v v))>
#<alt (* H 49/5)>
Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 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)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (* -49/5 (/ H v))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* -49/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -49/5 (/ H v))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))>
#<alt (atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))>
#<alt (atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))>
#<alt (atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -25/2401 (pow v 4)) (* -125/117649 (/ (pow v 6) H))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 625/5764801 (/ (pow v 8) H)) (* 125/117649 (pow v 6))) H)) (* -25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (/ -49/5 v)>
#<alt (/ (- (/ (pow v 2) H) 49/5) v)>
#<alt (/ (- (/ (pow v 2) H) 49/5) v)>
#<alt (/ (- (/ (pow v 2) H) 49/5) v)>
#<alt (/ v H)>
#<alt (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (/ v H)>
#<alt (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (/ v H)>
#<alt (/ (+ v (* -49/5 (/ H v))) H)>
#<alt (/ (+ v (* -49/5 (/ H v))) H)>
#<alt (/ (+ v (* -49/5 (/ H v))) H)>
#<alt (/ -49/5 v)>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (/ -49/5 v)>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (- (/ v H) (* 49/5 (/ 1 v)))>
#<alt (* -49/5 (/ H v))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (* -49/5 (/ H v))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* -49/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (/ -5/98 H)>
#<alt (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))>
#<alt (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))>
#<alt (- (* (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)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))>
#<alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))>
#<alt (/ -5/98 H)>
#<alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)>
#<alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)>
#<alt (/ (- (* -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)>
#<alt (/ -5/98 H)>
#<alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (/ -49/5 v)>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 (/ H (pow v 2)))>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
#<alt (* 49/5 H)>
Calls

108 calls:

TimeVariablePointExpression
5.0ms
H
@-inf
(/ v (* H (+ (/ v H) (/ -49/5 v))))
3.0ms
H
@0
(* v (sqrt (/ -5/98 H)))
1.0ms
v
@0
(* v (sqrt (/ -5/98 H)))
1.0ms
H
@-inf
(* v (sqrt (/ -5/98 H)))
1.0ms
v
@0
(* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))

rewrite355.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
3658×/-lowering-/.f32
3658×/-lowering-/.f64
3216×*-lowering-*.f32
3216×*-lowering-*.f64
1610×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036158
1195150
21833147
08468147
Stop Event
iter limit
node limit
Counts
22 → 617
Calls
Call 1
Inputs
(atan (* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v))
(* (pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2) v)
(pow (/ 1 (/ 1 (+ (* v v) (* -98/5 H)))) -1/2)
(/ 1 (/ 1 (+ (* v v) (* -98/5 H))))
(atan 1)
(* H (+ (/ v H) (/ -49/5 v)))
(atan (/ v (* H (+ (/ v H) (/ -49/5 v)))))
(/ v (* H (+ (/ v H) (/ -49/5 v))))
(+ (/ v H) (/ -49/5 v))
(* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))
(atan (/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1))))
(/ v (* (- 0 v) (+ (/ (* H 49/5) (* v v)) -1)))
(- 0 v)
(atan (* v (sqrt (/ -5/98 H))))
(* v (sqrt (/ -5/98 H)))
(sqrt (/ -5/98 H))
(/ -5/98 H)
(/ 1 (+ (* v v) (* -98/5 H)))
(* -98/5 H)
(/ -49/5 v)
(/ (* H 49/5) (* v v))
(* H 49/5)
Outputs
(atan.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) v)
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) v))
(*.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64))) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) #s(literal -1/4 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) #s(literal -1/4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))
(pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (/.f64 (*.f64 H (*.f64 H H)) #s(literal -125/941192 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (/.f64 H #s(literal -5/98 binary64)) (-.f64 (/.f64 H #s(literal -5/98 binary64)) (*.f64 v v)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 H #s(literal 5/98 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 (-.f64 #s(literal 0 binary64) H) #s(literal 5/98 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) H)) #s(literal -5/98 binary64))
(pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 v #s(literal -49/5 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 49/5 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 v #s(literal -49/5 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 v #s(literal -49/5 binary64)))))
(/.f64 #s(literal -49/5 binary64) v)
(/.f64 #s(literal -49/5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 49/5 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) v))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v #s(literal -49/5 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) v))
(*.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v))
(*.f64 #s(literal 49/5 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -49/5 binary64))
(*.f64 (/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v (*.f64 v v)))) (*.f64 v v))
(*.f64 (/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) v)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))
(neg.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))))))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)
(/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)
(/.f64 (*.f64 (*.f64 H #s(literal 49/5 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(/.f64 (neg.f64 (*.f64 H #s(literal -49/5 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (*.f64 (*.f64 H #s(literal 49/5 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (neg.f64 (neg.f64 (*.f64 H #s(literal -49/5 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(pow.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))
(*.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)))
(*.f64 #s(literal -49/5 binary64) (/.f64 (-.f64 #s(literal 0 binary64) H) (*.f64 v v)))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 (-.f64 #s(literal 0 binary64) H) v))
(*.f64 #s(literal 49/5 binary64) (*.f64 H (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)))
(*.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (*.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 (/.f64 H v) (/.f64 #s(literal 49/5 binary64) v))
(*.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 H #s(literal 49/5 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 H #s(literal -49/5 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H)
(*.f64 (/.f64 H #s(literal 1 binary64)) (/.f64 #s(literal 49/5 binary64) (*.f64 v v)))
(*.f64 (/.f64 H (-.f64 #s(literal 0 binary64) v)) (/.f64 #s(literal -49/5 binary64) v))
(*.f64 (/.f64 H #s(literal -1 binary64)) (/.f64 #s(literal -49/5 binary64) (*.f64 v v)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) H) v) (/.f64 #s(literal -49/5 binary64) v))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))
(*.f64 H #s(literal 49/5 binary64))
(*.f64 #s(literal 49/5 binary64) H)

simplify427.0ms (4.6%)

Algorithm
egg-herbie
Rules
5320×*-lowering-*.f32
5320×*-lowering-*.f64
2900×+-lowering-+.f64
2900×+-lowering-+.f32
1536×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05124902
115784458
249434431
081324431
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 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))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -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)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (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)))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -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))))))
(+ (* -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))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(+ (* (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)))))))
(+ (* (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)))))))))
(/ 1 v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
(/ (+ 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)
(/ -1 v)
(* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))
(/ 1 v)
(+ (* 49/5 (/ H (pow v 3))) (/ 1 v))
(+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (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))))
(+ (* -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)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -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)))))
(+ (* -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)))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(* -49/5 (/ H v))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* -49/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -49/5 (/ H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
(atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
(atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
(atan (* -1 (/ v (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(atan (/ v (* H (- (/ v H) (* 49/5 (/ 1 v))))))
(* -5/49 (/ (pow v 2) H))
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
(* -5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (+ (* -25/2401 (pow v 4)) (* -125/117649 (/ (pow v 6) H))) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 625/5764801 (/ (pow v 8) H)) (* 125/117649 (pow v 6))) H)) (* -25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(/ -49/5 v)
(/ (- (/ (pow v 2) H) 49/5) v)
(/ (- (/ (pow v 2) H) 49/5) v)
(/ (- (/ (pow v 2) H) 49/5) v)
(/ v H)
(* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* v (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(/ v H)
(* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* v (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(/ v H)
(/ (+ v (* -49/5 (/ H v))) H)
(/ (+ v (* -49/5 (/ H v))) H)
(/ (+ v (* -49/5 (/ H v))) H)
(/ -49/5 v)
(- (/ v H) (* 49/5 (/ 1 v)))
(- (/ v H) (* 49/5 (/ 1 v)))
(- (/ v H) (* 49/5 (/ 1 v)))
(/ -49/5 v)
(- (/ v H) (* 49/5 (/ 1 v)))
(- (/ v H) (* 49/5 (/ 1 v)))
(- (/ v H) (* 49/5 (/ 1 v)))
(* -49/5 (/ H v))
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
(/ (+ (* -49/5 H) (pow v 2)) v)
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
v
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
(* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))
v
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(+ v (* -49/5 (/ H v)))
(* -49/5 (/ H v))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* H (- (/ v H) (* 49/5 (/ 1 v))))
(* -49/5 (/ H v))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ -1 (- (* 49/5 (/ H (pow v 2))) 1)))
(atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))
(atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))
(atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))
(atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
(* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
(* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))
(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* -5/49 (/ (pow v 2) H))
(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
(* -5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(atan (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (sqrt -5/98))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (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)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -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)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(/ -49/5 v)
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 (/ H (pow v 2)))
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
(* 49/5 H)
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 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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v
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v
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v
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1
#s(literal 1 binary64)
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(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
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1
#s(literal 1 binary64)
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(- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
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1
#s(literal 1 binary64)
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(+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
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(* -5/49 (/ (pow v 2) H))
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(/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)
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(/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)
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(/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)
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(/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5/49 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -25/2401 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 8 binary64)) #s(literal 625/5764801 binary64)) H) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 125/117649 binary64))) H)) H)) (-.f64 #s(literal 0 binary64) H))
(* -1 v)
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(* -1 v)
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(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
(* -1 v)
(-.f64 #s(literal 0 binary64) v)
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(-.f64 #s(literal 0 binary64) v)
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(-.f64 #s(literal 0 binary64) v)
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(-.f64 #s(literal 0 binary64) v)
(* -1 v)
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(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))
(* 49/5 H)
(*.f64 H #s(literal 49/5 binary64))

eval168.0ms (1.8%)

Compiler

Compiled 22207 to 3417 computations (84.6% saved)

prune127.0ms (1.4%)

Pruning

36 alts after pruning (29 fresh and 7 done)

PrunedKeptTotal
New1033161049
Fresh41317
Picked235
Done145
Total1040361076
Accuracy
100.0%
Counts
1076 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
28.3%
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
11.7%
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
12.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
2.9%
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) H) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))
14.5%
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
11.7%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
33.5%
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
29.9%
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
33.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
33.5%
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
33.5%
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H) #s(literal -1 binary64)))))
38.5%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
33.1%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
33.5%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
2.9%
(atan.f64 (/.f64 v (*.f64 H (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))))))))
28.6%
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
2.9%
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
68.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
44.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
67.7%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.5%
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
45.0%
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
44.9%
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1/2 binary64)) v))
67.8%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) v)))
68.0%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
44.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
13.8%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
15.4%
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
15.7%
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
28.6%
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
10.4%
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))))
45.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 H #s(literal -5/98 binary64))))))
45.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
29.5%
(atan.f64 #s(literal 1 binary64))
34.4%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 1200 to 769 computations (35.9% saved)

simplify261.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -98/5 binary64) H)
cost-diff0
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
cost-diff0
(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))
cost-diff128
(/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))
cost-diff512
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H))))
cost-diff512
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))
cost-diff128
(/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))
cost-diff128
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
cost-diff256
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
cost-diff0
(*.f64 H #s(literal -49/5 binary64))
cost-diff0
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
cost-diff0
(/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
cost-diff0
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
cost-diff0
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
cost-diff128
(/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
cost-diff128
(atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
Rules
5322×*-lowering-*.f32
5322×*-lowering-*.f64
2188×associate-/r/
2012×fma-define
1486×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035221
178195
2165189
3530188
41606188
52732188
63809188
75714188
86012188
96415188
106937188
09046188
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(* v v)
v
(* H -98/5)
H
-98/5
-1/2
(/ 1 v)
1
(atan (/ v (/ (* H -49/5) v)))
(/ v (/ (* H -49/5) v))
v
(/ (* H -49/5) v)
(* H -49/5)
H
-49/5
(atan (/ v (* v (+ 1 (* (/ H (* v v)) -49/5)))))
(/ v (* v (+ 1 (* (/ H (* v v)) -49/5))))
v
(* v (+ 1 (* (/ H (* v v)) -49/5)))
(+ 1 (* (/ H (* v v)) -49/5))
1
(* (/ H (* v v)) -49/5)
(/ H (* v v))
H
(* v v)
-49/5
(atan (* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H)))))
(* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H))))
(/ (/ 1 H) (+ (* v v) (* H -49/5)))
(/ 1 H)
1
H
(+ (* v v) (* H -49/5))
(* v v)
v
(* H -49/5)
-49/5
(/ v (/ 1 (* v H)))
(/ 1 (* v H))
(* v H)
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
v
(sqrt (* -98/5 H))
(* -98/5 H)
-98/5
H
Outputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(atan.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(pow (+ (* v v) (* H -98/5)) -1/2)
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
(+ (* v v) (* H -98/5))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(* v v)
(*.f64 v v)
v
(* H -98/5)
(*.f64 H #s(literal -98/5 binary64))
H
-98/5
#s(literal -98/5 binary64)
-1/2
#s(literal -1/2 binary64)
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
(atan (/ v (/ (* H -49/5) v)))
(atan.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H))))
(/ v (/ (* H -49/5) v))
(/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H)))
v
(/ (* H -49/5) v)
(/.f64 #s(literal -49/5 binary64) (/.f64 v H))
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
H
-49/5
#s(literal -49/5 binary64)
(atan (/ v (* v (+ 1 (* (/ H (* v v)) -49/5)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(/ v (* v (+ 1 (* (/ H (* v v)) -49/5))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))
v
(* v (+ 1 (* (/ H (* v v)) -49/5)))
(+.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H)))
(+ 1 (* (/ H (* v v)) -49/5))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))
1
#s(literal 1 binary64)
(* (/ H (* v v)) -49/5)
(/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))
(/ H (* v v))
(/.f64 H (*.f64 v v))
H
(* v v)
(*.f64 v v)
-49/5
#s(literal -49/5 binary64)
(atan (* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))
(/ (/ 1 H) (+ (* v v) (* H -49/5)))
(/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))
(/ 1 H)
(/.f64 #s(literal 1 binary64) H)
1
#s(literal 1 binary64)
H
(+ (* v v) (* H -49/5))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(* v v)
(*.f64 v v)
v
(* H -49/5)
(*.f64 H #s(literal -49/5 binary64))
-49/5
#s(literal -49/5 binary64)
(/ v (/ 1 (* v H)))
(*.f64 v (*.f64 v H))
(/ 1 (* v H))
(/.f64 #s(literal 1 binary64) (*.f64 v H))
(* v H)
(*.f64 v H)
(atan (/ v (sqrt (* -98/5 H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/ v (sqrt (* -98/5 H)))
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
v
(sqrt (* -98/5 H))
(sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
-98/5
#s(literal -98/5 binary64)
H

localize219.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
accuracy99.7%
(/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)))
accuracy99.5%
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
accuracy99.5%
(*.f64 #s(literal -98/5 binary64) H)
accuracy99.5%
(*.f64 H #s(literal -49/5 binary64))
accuracy98.9%
(/.f64 #s(literal 1 binary64) (*.f64 v H))
accuracy96.0%
(/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))
accuracy69.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H))))
accuracy99.9%
(/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))
accuracy99.7%
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))
accuracy91.5%
(*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
accuracy89.6%
(/.f64 H (*.f64 v v))
accuracy100.0%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
accuracy99.8%
(/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))
accuracy99.5%
(*.f64 H #s(literal -49/5 binary64))
accuracy99.4%
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
accuracy100.0%
(+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
accuracy99.8%
(/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
accuracy99.5%
(*.f64 H #s(literal -98/5 binary64))
accuracy82.5%
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
Results
106.0ms187×0valid
44.0ms65×0invalid
11.0ms5exit
Compiler

Compiled 260 to 36 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 24.0ms (25.6% of total)
ival-atan: 22.0ms (23.5% of total)
ival-div: 20.0ms (21.3% of total)
...c/correct-round.rkt:119:19: 10.0ms (10.7% of total)
ival-pow: 10.0ms (10.7% of total)
ival-add: 4.0ms (4.3% of total)
ival-sqrt: 2.0ms (2.1% of total)
backward-pass: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)

series26.0ms (0.3%)

Counts
24 → 528
Calls
Call 1
Inputs
#<alt (atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))>
#<alt (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (+ (* v v) (* H -98/5))>
#<alt (atan (/ v (/ (* H -49/5) v)))>
#<alt (/ v (/ (* H -49/5) v))>
#<alt (/ (* H -49/5) v)>
#<alt (* H -49/5)>
#<alt (* v (+ 1 (* (/ H (* v v)) -49/5)))>
#<alt (atan (/ v (* v (+ 1 (* (/ H (* v v)) -49/5)))))>
#<alt (/ v (* v (+ 1 (* (/ H (* v v)) -49/5))))>
#<alt (+ 1 (* (/ H (* v v)) -49/5))>
#<alt (atan (* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H)))))>
#<alt (* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H))))>
#<alt (/ v (/ 1 (* v H)))>
#<alt (/ (/ 1 H) (+ (* v v) (* H -49/5)))>
#<alt (atan (/ v (sqrt (* -98/5 H))))>
#<alt (/ v (sqrt (* -98/5 H)))>
#<alt (sqrt (* -98/5 H))>
#<alt (* -98/5 H)>
#<alt (* H -98/5)>
#<alt (/ H (* v v))>
#<alt (* (/ H (* v v)) -49/5)>
#<alt (/ 1 (* v H))>
Outputs
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))>
#<alt (+ 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))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)>
#<alt (- (+ (* -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)>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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))))))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)>
#<alt (/ (+ 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)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (+ 1 (* 49/5 (/ H (pow v 2)))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v))>
#<alt (/ 1 v)>
#<alt (+ (* 49/5 (/ H (pow v 3))) (/ 1 v))>
#<alt (+ (* H (+ (* 7203/50 (/ H (pow v 5))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (+ (* H (+ (* H (+ (* 117649/50 (/ H (pow v 7))) (* 7203/50 (/ 1 (pow v 5))))) (* 49/5 (/ 1 (pow v 3))))) (/ 1 v))>
#<alt (* (sqrt (/ 1 H)) (sqrt -5/98))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))>
#<alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* -98/5 H)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (+ (* -98/5 H) (pow v 2))>
#<alt (* -98/5 H)>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* H (- (/ (pow v 2) H) 98/5))>
#<alt (* -98/5 H)>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (atan (* -5/49 (/ (pow v 2) H)))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 (/ H v))>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 H)>
#<alt (* -49/5 (/ H v))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt (/ (+ (* -49/5 H) (pow v 2)) v)>
#<alt v>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* v (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt v>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt (* -1 (* v (- (* 49/5 (/ H (pow v 2))) 1)))>
#<alt v>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (+ v (* -49/5 (/ H v)))>
#<alt (* -49/5 (/ H v))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* H (- (/ v H) (* 49/5 (/ 1 v))))>
#<alt (* -49/5 (/ H v))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v)))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (- 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (- 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (- 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (- 1 (* 49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (atan (/ 1 (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) (pow v 2))>
#<alt (/ (+ (* -49/5 H) (pow v 2)) (pow v 2))>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (- (pow v 2) (* 49/5 H))))>
#<alt (atan (/ (pow v 2) (- (pow v 2) (* 49/5 H))))>
#<alt (atan (/ (pow v 2) (- (pow v 2) (* 49/5 H))))>
#<alt (atan (/ (pow v 2) (- (pow v 2) (* 49/5 H))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt (atan (/ (pow v 2) (+ (* -49/5 H) (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (+ (* 2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (+ (* H (+ (* 117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -125/117649 (/ (pow v 6) (pow H 2)))) (* 25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* -5/49 (pow v 2)) (* -625/5764801 (/ (pow v 8) (pow H 3)))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 25/2401 (/ (pow v 4) H)))) H)>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 625/5764801 (/ (pow v 8) H)) (* -125/117649 (pow v 6))) H)) (* 25/2401 (pow v 4))) H)) (* 5/49 (pow v 2))) H))>
#<alt (* -5/49 (/ (pow v 2) H))>
#<alt (* (pow v 2) (- (* -25/2401 (/ (pow v 2) (pow H 2))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 3))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt (* (pow v 2) (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 4))) (* 125/117649 (/ 1 (pow H 3))))) (* 25/2401 (/ 1 (pow H 2))))) (* 5/49 (/ 1 H))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* 49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 2401/25 (/ (pow H 2) (pow v 4)))) (* -49/5 (/ H (pow v 2))))>
#<alt (- (+ 1 (* 117649/125 (/ (pow H 3) (pow v 6)))) (+ (* -2401/25 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (* H (pow v 2))>
#<alt (/ 1 (* H (pow v 2)))>
#<alt (/ (+ (* 49/5 (/ H (pow v 4))) (/ 1 (pow v 2))) H)>
#<alt (/ (+ (* H (+ (* 2401/25 (/ H (pow v 6))) (* 49/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) H)>
#<alt (/ (+ (* H (+ (* H (+ (* 117649/125 (/ H (pow v 8))) (* 2401/25 (/ 1 (pow v 6))))) (* 49/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) H)>
#<alt (/ -5/49 (pow H 2))>
#<alt (/ (- (* -25/2401 (/ (pow v 2) H)) 5/49) (pow H 2))>
#<alt (/ (- (* -125/117649 (/ (pow v 4) (pow H 2))) (+ 5/49 (* 25/2401 (/ (pow v 2) H)))) (pow H 2))>
#<alt (/ (- (* -625/5764801 (/ (pow v 6) (pow H 3))) (+ 5/49 (+ (* 125/117649 (/ (pow v 4) (pow H 2))) (* 25/2401 (/ (pow v 2) H))))) (pow H 2))>
#<alt (/ -5/49 (pow H 2))>
#<alt (/ (- (* -25/2401 (/ (pow v 2) H)) 5/49) (pow H 2))>
#<alt (/ (- (* -1 (/ (+ (* 125/117649 (/ (pow v 4) H)) (* 25/2401 (pow v 2))) H)) 5/49) (pow H 2))>
#<alt (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -125/117649 (pow v 4)) (* -625/5764801 (/ (pow v 6) H))) H)) (* 25/2401 (pow v 2))) H)) 5/49) (pow H 2))>
#<alt (/ -5/49 (pow H 2))>
#<alt (- (* -25/2401 (/ (pow v 2) (pow H 3))) (* 5/49 (/ 1 (pow H 2))))>
#<alt (- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 4))) (* 25/2401 (/ 1 (pow H 3))))) (* 5/49 (/ 1 (pow H 2))))>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 5))) (* 125/117649 (/ 1 (pow H 4))))) (* 25/2401 (/ 1 (pow H 3))))) (* 5/49 (/ 1 (pow H 2))))>
#<alt (/ 1 (* H (pow v 2)))>
#<alt (/ (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ (+ (* 2401/25 (/ H (pow v 4))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ (- (+ (* 117649/125 (/ (pow H 2) (pow v 6))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (* -2401/25 (/ H (pow v 4)))) (pow v 2))>
#<alt (/ 1 (* H (pow v 2)))>
#<alt (/ (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) (pow v 2))>
#<alt (/ (+ (* 2401/25 (/ H (pow v 4))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (pow v 2))>
#<alt (/ (- (+ (* 117649/125 (/ (pow H 2) (pow v 6))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (* -2401/25 (/ H (pow v 4)))) (pow v 2))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* (sqrt H) (sqrt -98/5))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (* -98/5 H)>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (/ H (pow v 2))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (* -49/5 (/ H (pow v 2)))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
#<alt (/ 1 (* H v))>
Calls

132 calls:

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

rewrite329.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
3968×/-lowering-/.f32
3968×/-lowering-/.f64
3668×*-lowering-*.f32
3668×*-lowering-*.f64
1392×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035188
1198161
21475157
08516157
Stop Event
iter limit
node limit
Counts
24 → 791
Calls
Call 1
Inputs
(atan (/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v)))
(/ (pow (+ (* v v) (* H -98/5)) -1/2) (/ 1 v))
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(atan (/ v (/ (* H -49/5) v)))
(/ v (/ (* H -49/5) v))
(/ (* H -49/5) v)
(* H -49/5)
(* v (+ 1 (* (/ H (* v v)) -49/5)))
(atan (/ v (* v (+ 1 (* (/ H (* v v)) -49/5)))))
(/ v (* v (+ 1 (* (/ H (* v v)) -49/5))))
(+ 1 (* (/ H (* v v)) -49/5))
(atan (* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H)))))
(* (/ (/ 1 H) (+ (* v v) (* H -49/5))) (/ v (/ 1 (* v H))))
(/ v (/ 1 (* v H)))
(/ (/ 1 H) (+ (* v v) (* H -49/5)))
(atan (/ v (sqrt (* -98/5 H))))
(/ v (sqrt (* -98/5 H)))
(sqrt (* -98/5 H))
(* -98/5 H)
(* H -98/5)
(/ H (* v v))
(* (/ H (* v v)) -49/5)
(/ 1 (* v H))
Outputs
(atan.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))
(neg.f64 (atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v)))
(neg.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) v)))
(/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))))
(/.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
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(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)))))
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(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 #s(literal -98/5 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 H) v) #s(literal -1 binary64)))
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(*.f64 (*.f64 v (pow.f64 #s(literal -98/5 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 H)))
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(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 v (/.f64 H v))) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) H)
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) v)) (/.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
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(/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 H v) (/.f64 v #s(literal -49/5 binary64)))
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(/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (/.f64 H v))))
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(pow.f64 (/.f64 v (/.f64 #s(literal -49/5 binary64) (/.f64 v H))) #s(literal -1 binary64))
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(*.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))
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(*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))
(*.f64 (*.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
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(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))
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(*.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 v v)))
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(*.f64 #s(literal 49/5 binary64) (/.f64 (/.f64 H v) (-.f64 #s(literal 0 binary64) v)))
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(*.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) v) v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 H #s(literal 49/5 binary64)) v))
(*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) #s(literal 1 binary64)) (/.f64 H v))
(*.f64 (/.f64 (/.f64 H v) #s(literal 1 binary64)) (/.f64 #s(literal -49/5 binary64) v))
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(*.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 (/.f64 #s(literal -49/5 binary64) v) #s(literal -1 binary64)) (/.f64 H (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 (/.f64 H v) #s(literal -1 binary64)) (/.f64 #s(literal -49/5 binary64) (-.f64 #s(literal 0 binary64) v)))
(exp.f64 (*.f64 (log.f64 (*.f64 v H)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 v) #s(literal -1 binary64)) (*.f64 (log.f64 H) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 H) #s(literal -1 binary64)) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v H)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) H)) (/.f64 #s(literal -1 binary64) (*.f64 v H)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 v H)))
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(/.f64 (/.f64 #s(literal 1 binary64) v) H)
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(/.f64 (/.f64 #s(literal -1 binary64) H) (-.f64 #s(literal 0 binary64) v))
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(pow.f64 (pow.f64 (*.f64 v H) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 v H) (*.f64 v H)) #s(literal -1/2 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) H))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) H) #s(literal 1 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 v H) #s(literal -1/2 binary64)) (pow.f64 (*.f64 v H) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (pow.f64 H #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 H #s(literal -1/2 binary64)) v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 (pow.f64 v #s(literal -1/2 binary64)) H) (/.f64 (pow.f64 v #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 H #s(literal -1/2 binary64)) v) (/.f64 (pow.f64 H #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 H #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 H #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) v)))

simplify353.0ms (3.8%)

Algorithm
egg-herbie
Rules
5240×*-lowering-*.f32
5240×*-lowering-*.f64
2830×+-lowering-+.f64
2830×+-lowering-+.f32
1512×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05005464
115174851
248184824
080904824
Stop Event
iter limit
node limit
Counts
528 → 528
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* 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))))))))
(* 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))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 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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(/ (- (* -1 (/ (+ (* -1 (/ (+ (* -125/117649 (pow v 4)) (* -625/5764801 (/ (pow v 6) H))) H)) (* 25/2401 (pow v 2))) H)) 5/49) (pow H 2))
(/ -5/49 (pow H 2))
(- (* -25/2401 (/ (pow v 2) (pow H 3))) (* 5/49 (/ 1 (pow H 2))))
(- (* (pow v 2) (- (* -125/117649 (/ (pow v 2) (pow H 4))) (* 25/2401 (/ 1 (pow H 3))))) (* 5/49 (/ 1 (pow H 2))))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/5764801 (/ (pow v 2) (pow H 5))) (* 125/117649 (/ 1 (pow H 4))))) (* 25/2401 (/ 1 (pow H 3))))) (* 5/49 (/ 1 (pow H 2))))
(/ 1 (* H (pow v 2)))
(/ (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) (pow v 2))
(/ (+ (* 2401/25 (/ H (pow v 4))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (pow v 2))
(/ (- (+ (* 117649/125 (/ (pow H 2) (pow v 6))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (* -2401/25 (/ H (pow v 4)))) (pow v 2))
(/ 1 (* H (pow v 2)))
(/ (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))) (pow v 2))
(/ (+ (* 2401/25 (/ H (pow v 4))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (pow v 2))
(/ (- (+ (* 117649/125 (/ (pow H 2) (pow v 6))) (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))) (* -2401/25 (/ H (pow v 4)))) (pow v 2))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ v (sqrt -98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(atan (* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5))))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ v (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* v (sqrt -1)) (sqrt 98/5)))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* (sqrt H) (sqrt -98/5))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(* -49/5 (/ H (pow v 2)))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
(/ 1 (* H v))
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (+.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 v v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 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))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 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))))))))))
(*.f64 v (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (*.f64 v v) (+.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (*.f64 (*.f64 v v) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 H) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64)) (/.f64 #s(literal 625/92236816 binary64) (*.f64 (*.f64 H H) (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v)))))
(+ 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))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (+.f64 (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64))))))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)) (/.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))
(- (+ (* -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)
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (+.f64 (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)) (*.f64 #s(literal -49/5 binary64) (*.f64 (*.f64 H H) #s(literal -7203/25 binary64))))) (pow.f64 v #s(literal 6 binary64))))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal 7203/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v)))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (*.f64 H (+.f64 (*.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 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)))))
(+.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 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))))))
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(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(* -49/5 (/ H (pow v 2)))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)
(/ 1 (* H v))
(/.f64 (/.f64 #s(literal 1 binary64) H) v)

eval160.0ms (1.7%)

Compiler

Compiled 25212 to 3562 computations (85.9% saved)

prune199.0ms (2.1%)

Pruning

37 alts after pruning (29 fresh and 8 done)

PrunedKeptTotal
New1322171339
Fresh121224
Picked415
Done077
Total1338371375
Accuracy
100.0%
Counts
1375 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.9%
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
11.7%
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
12.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
14.5%
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
33.5%
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
29.9%
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
33.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
38.5%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
11.7%
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
23.4%
(atan.f64 (/.f64 v (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))))
33.5%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
28.6%
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
2.9%
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
11.7%
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
44.9%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)))))
68.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
44.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
44.6%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) v)))
11.7%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
34.5%
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
45.0%
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
44.9%
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1/2 binary64)) v))
67.8%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) v)))
68.0%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
44.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
9.0%
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)))) (/.f64 (*.f64 v H) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))))
17.0%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal 1 binary64) v) H)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))))
15.4%
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
11.7%
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
11.7%
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
28.6%
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
9.9%
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
11.7%
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
45.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
11.7%
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
29.5%
(atan.f64 #s(literal 1 binary64))
34.4%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 1637 to 727 computations (55.6% saved)

regimes98.0ms (1.1%)

Counts
66 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v v) H) H) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal 1 binary64) v) H)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H))) (/.f64 #s(literal 1 binary64) (-.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)))) (/.f64 (*.f64 v H) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) H) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
(atan.f64 (/.f64 v (*.f64 H (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 H #s(literal -5/98 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) v)))
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) v)))
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (/.f64 H #s(literal -5/98 binary64))) #s(literal -1/4 binary64)) v)))
(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
Outputs
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
(atan.f64 #s(literal 1 binary64))
Calls

5 calls:

20.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
19.0ms
H
18.0ms
v
17.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
15.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
99.8%3v
73.6%2H
84.5%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
84.5%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
73.6%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes25.0ms (0.3%)

Counts
57 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v v) H) H) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal 1 binary64) v) H)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H))) (/.f64 #s(literal 1 binary64) (-.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)))) (/.f64 (*.f64 v H) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) H) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
(atan.f64 (/.f64 v (*.f64 H (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 H #s(literal -5/98 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) v)))
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 #s(literal 1 binary64))
Calls

1 calls:

15.0ms
v
Results
AccuracySegmentsBranch
99.8%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
55 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v v) H) H) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal 1 binary64) v) H)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H))) (/.f64 #s(literal 1 binary64) (-.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)))) (/.f64 (*.f64 v H) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) H) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
(atan.f64 (/.f64 v (*.f64 H (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 (pow.f64 (/.f64 H #s(literal -5/98 binary64)) #s(literal -1/2 binary64)) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 H #s(literal -5/98 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H)))))
(atan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1/2 binary64)) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64)) v)))
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
Outputs
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
Calls

1 calls:

16.0ms
v
Results
AccuracySegmentsBranch
90.9%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.3%)

Counts
45 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (*.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (*.f64 (-.f64 #s(literal 0 binary64) v) (+.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) #s(literal -1 binary64)))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))) H) (*.f64 v H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 v v) H) H) #s(literal -25/2401 binary64)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) (*.f64 H H)) (/.f64 #s(literal -5/49 binary64) H))))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (neg.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))) (/.f64 (/.f64 #s(literal 1 binary64) v) H)))
(atan.f64 (/.f64 v (+.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (*.f64 (/.f64 #s(literal -2401/50 binary64) v) H))) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) (/.f64 (/.f64 #s(literal 1 binary64) v) H)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 2401/25 binary64) (*.f64 v v)) (*.f64 H H))) (/.f64 #s(literal 1 binary64) (-.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64))))) (*.f64 v (*.f64 v v)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (-.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)))) (/.f64 (*.f64 v H) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal 49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1 binary64)))))))
(atan.f64 (/.f64 v (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) H) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 v (*.f64 H (*.f64 (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))))))))
(atan.f64 (/.f64 v (*.f64 H (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 v (*.f64 (/.f64 H v) H)) (/.f64 (-.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 v H)) (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (/.f64 (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -117649/125 binary64) (*.f64 v (*.f64 v v)))))))))
Outputs
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
Calls

2 calls:

13.0ms
v
12.0ms
H
Results
AccuracySegmentsBranch
42.8%3H
66.1%2v
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v))))
(atan.f64 (/.f64 v (*.f64 H (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))))
(atan.f64 (/.f64 v (*.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) H)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))))
(atan.f64 (/.f64 (/.f64 v H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))))
(atan.f64 (*.f64 (/.f64 #s(literal -5/49 binary64) (*.f64 H H)) (/.f64 v (/.f64 #s(literal 1 binary64) (*.f64 v H)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) (/.f64 #s(literal 1 binary64) H)))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H)))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))))))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (+.f64 #s(literal -5/49 binary64) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/2401 binary64)) H)) H)))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
Calls

1 calls:

9.0ms
v
Results
AccuracySegmentsBranch
65.8%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v))))
Calls

1 calls:

4.0ms
v
Results
AccuracySegmentsBranch
65.4%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
10 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)))
(atan.f64 (*.f64 #s(literal -5/49 binary64) (/.f64 (/.f64 v H) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
(atan.f64 #s(literal 1 binary64))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
65.6%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
Calls

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
62.1%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
Outputs
(atan.f64 #s(literal -1 binary64))
Calls

2 calls:

1.0ms
v
1.0ms
H
Results
AccuracySegmentsBranch
34.4%1H
34.4%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch8.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
4.0ms
4.76699047710148e+151
2.545678691437785e+153
3.0ms
-9.938085153526448e+140
-3.79197122567983e+139
Results
5.0ms48×0valid
0.0ms0invalid
Compiler

Compiled 91 to 71 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 1.0ms (27.8% of total)
...c/correct-round.rkt:119:19: 1.0ms (27.8% of total)
ival-atan: 1.0ms (27.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch12.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
4.0ms
4.76699047710148e+151
2.545678691437785e+153
7.0ms
-6.645817838331941e+155
-7.370462039696717e+153
Results
8.0ms64×0valid
Compiler

Compiled 96 to 75 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (41.6% of total)
...c/correct-round.rkt:119:19: 1.0ms (20.8% of total)
ival-sqrt: 1.0ms (20.8% of total)
ival-atan: 1.0ms (20.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.589913603986227e-79
1.946184178076236e-78
21.0ms
-8.442305047667334e+27
-4.902473456638517e+23
Results
29.0ms224×0valid
4.0ms39×0invalid
Compiler

Compiled 450 to 329 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:119:19: 9.0ms (38.5% of total)
ival-mult: 6.0ms (25.7% of total)
ival-div: 2.0ms (8.6% of total)
ival-sqrt: 2.0ms (8.6% of total)
ival-atan: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
-3.3638309056414923e-289
-7.330308758214402e-305
Results
3.0ms32×0valid
0.0ms0invalid
Compiler

Compiled 84 to 61 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (41.8% of total)
...c/correct-round.rkt:119:19: 1.0ms (41.8% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-atan: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-3.8654013269389907e-203
-1.2234363289128274e-206
Results
12.0ms128×0valid
3.0ms37×0invalid
Compiler

Compiled 164 to 127 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.2% of total)
...c/correct-round.rkt:119:19: 2.0ms (18.6% of total)
ival-sub: 1.0ms (9.3% of total)
ival-div: 1.0ms (9.3% of total)
ival-sqrt: 1.0ms (9.3% of total)
ival-atan: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-3.8654013269389907e-203
-1.2234363289128274e-206
Results
14.0ms128×0valid
4.0ms35×0invalid
Compiler

Compiled 164 to 127 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (33.6% of total)
ival-sub: 1.0ms (8.4% of total)
ival-div: 1.0ms (8.4% of total)
ival-sqrt: 1.0ms (8.4% of total)
ival-atan: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
26.0ms
8.312112871394248e-125
3.239356057780844e-105
38.0ms
-3.8654013269389907e-203
-1.2234363289128274e-206
Results
29.0ms304×0valid
23.0ms87×0invalid
Compiler

Compiled 324 to 262 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
...c/correct-round.rkt:119:19: 21.0ms (51.8% of total)
ival-mult: 9.0ms (22.2% of total)
ival-sqrt: 3.0ms (7.4% of total)
ival-sub: 2.0ms (4.9% of total)
ival-div: 2.0ms (4.9% of total)
ival-atan: 2.0ms (4.9% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
42.0ms
-7.330308758214402e-305
1.6140811554539042e-307
Results
22.0ms57×0invalid
14.0ms144×0valid
Compiler

Compiled 110 to 105 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 22.0ms (73% of total)
...c/correct-round.rkt:119:19: 3.0ms (9.9% of total)
ival-sqrt: 2.0ms (6.6% of total)
ival-sub: 1.0ms (3.3% of total)
ival-div: 1.0ms (3.3% of total)
ival-atan: 1.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
40×*-commutative_binary64
36×+-commutative_binary64
22×neg-mul-1_binary64
20×sub-neg_binary64
20×neg-sub0_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
091197
1113197
2119197
3131197
4142197
5159195
6177195
7188195
8194195
9196195
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) (if (<=.f64 v #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -499999999999999991611392 binary64)) (atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (if (<=.f64 v #s(literal 8009951384703413/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))))
(if (<=.f64 v #s(literal -5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 506112340501517/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))
Outputs
(if (<=.f64 v #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) (if (<=.f64 v #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (atan.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))) (if (<=.f64 v #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -499999999999999991611392 binary64)) (atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (if (<=.f64 v #s(literal 8009951384703413/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))))
(if (<=.f64 v #s(literal -499999999999999991611392 binary64)) (atan.f64 (/.f64 v (*.f64 v (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))) (if (<=.f64 v #s(literal 8009951384703413/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 (/.f64 H (*.f64 v v)) #s(literal -2401/50 binary64)) v) (/.f64 #s(literal -49/5 binary64) v))))))))
(if (<=.f64 v #s(literal -5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)))) (atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v))))
(if (<=.f64 v #s(literal -5890680864316837/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) (atan.f64 (/.f64 v (*.f64 v (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)))))) (atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))))
(if (<=.f64 v #s(literal -6707033151932017/176500872419263593559319302637789241459459619490723595292712620678918364397574906244117120062201874810681116593642749786132706054117399434226659568030434131651924755717669757535789504530793970482734834967427158147858432 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 506112340501517/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) (atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness1.5s (16.3%)

Rules
5962×*-lowering-*.f32
5962×*-lowering-*.f64
4858×*-lowering-*.f32
4858×*-lowering-*.f64
4778×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035188
1198161
21475157
08516157
03231685
110041540
236611524
081731524
06576651
120585967
267445936
081595936
01210
12210
2339
3499
4729
51189
62149
73749
85399
98159
1010549
1113179
1214229
1314699
1415169
1515409
015409
035185
1190169
21721165
09437165
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 711 to 456 computations (35.9% saved)

preprocess89.0ms (1%)

Compiler

Compiled 424 to 196 computations (53.8% saved)

end0.0ms (0%)

Profiling

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