Optimal throwing angle

Time bar (total: 10.6s)

analyze48.0ms (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: 21.0ms
ival-mult: 8.0ms (37.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (23.4% of total)
ival-sqrt: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
ival-atan: 2.0ms (9.4% of total)
ival-div: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (12.8%)

Results
1.1s8256×0valid
13.0ms104×0invalid
Precisions
Click to see histograms. Total time spent on operations: 744.0ms
ival-mult: 246.0ms (33.1% of total)
...c/correct-round.rkt:119:19: 158.0ms (21.2% of total)
ival-sqrt: 100.0ms (13.4% of total)
ival-atan: 95.0ms (12.8% of total)
ival-div: 89.0ms (12% of total)
ival-sub: 41.0ms (5.5% of total)
const: 11.0ms (1.5% of total)
backward-pass: 4.0ms (0.5% of total)
Bogosity

preprocess93.0ms (0.9%)

Algorithm
egg-herbie
Rules
874×fnmadd-define
678×fmsub-define
636×fnmsub-define
598×fma-define
548×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266
18064
215558
332558
477358
5132958
6202658
7277158
8296258
9306758
10317658
11322458
01210
12210
2339
3499
4729
51189
62149
73749
85429
98189
1010579
1113209
1214259
1314729
1415199
1515439
015439
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)))))

explain168.0ms (1.6%)

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
102.0ms496×0valid
18.0ms16×5exit
Compiler

Compiled 139 to 35 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
...c/correct-round.rkt:119:19: 22.0ms (34.1% of total)
ival-mult: 14.0ms (21.7% of total)
ival-atan: 12.0ms (18.6% of total)
ival-div: 5.0ms (7.8% of total)
ival-sqrt: 5.0ms (7.8% of total)
ival-sub: 3.0ms (4.7% of total)
backward-pass: 2.0ms (3.1% of total)
const: 1.0ms (1.6% 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
67.2%
(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)

simplify4.0ms (0%)

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)

localize117.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
accuracy99.9%
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
accuracy99.2%
(*.f64 H #s(literal -98/5 binary64))
accuracy70.9%
(sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
Results
96.0ms248×0valid
8.0ms5exit
Compiler

Compiled 48 to 10 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
...c/correct-round.rkt:119:19: 57.0ms (78.1% of total)
ival-mult: 5.0ms (6.9% of total)
ival-atan: 3.0ms (4.1% of total)
ival-sqrt: 3.0ms (4.1% of total)
ival-div: 2.0ms (2.7% of total)
backward-pass: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)

series16.0ms (0.1%)

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

rewrite105.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
620×*-lowering-*.f32
620×*-lowering-*.f64
586×/-lowering-/.f32
586×/-lowering-/.f64
420×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0935
12531
27431
323531
468131
0254731
Stop Event
iter limit
iter limit
node limit
Counts
5 → 121
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
(+.f64 #s(literal 0 binary64) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))))
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(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (neg.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)

simplify313.0ms (2.9%)

Algorithm
egg-herbie
Rules
5958×*-lowering-*.f32
5958×*-lowering-*.f64
2986×+-lowering-+.f64
2986×+-lowering-+.f32
2640×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03231685
110041540
236611524
081631524
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 #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 (/.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 (*.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 #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 (*.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 (+.f64 #s(literal 1 binary64) (/.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))) (pow.f64 v #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
(+.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)) (pow.f64 v #s(literal 4 binary64))) (/.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 #s(literal -49/5 binary64) (/.f64 H 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 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (/.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal 1/2 binary64)) (pow.f64 v #s(literal 4 binary64))))
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
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1
#s(literal 1 binary64)
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(* (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)))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
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(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
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(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -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))))))))
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v
(+ v (* -49/5 (/ H v)))
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(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
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(* (sqrt H) (sqrt -98/5))
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(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
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(* 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)))))
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(* 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))))))
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
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(* -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))))))
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(* -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)))))))
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(* -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))))))))
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(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
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(+ (* -98/5 H) (pow v 2))
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(+ (* -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 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.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 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) 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)

eval33.0ms (0.3%)

Compiler

Compiled 4231 to 760 computations (82% saved)

prune47.0ms (0.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New21019229
Fresh000
Picked011
Done000
Total21020230
Accuracy
100.0%
Counts
230 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(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)))
62.8%
(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
61.7%
(atan.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v)))
67.1%
(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
38.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
39.2%
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
39.2%
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
67.1%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))))
67.2%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
52.3%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))))
40.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
61.6%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
66.5%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.1%
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
67.2%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
54.8%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))))
67.2%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
34.2%
(atan.f64 #s(literal 1 binary64))
33.9%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 621 to 407 computations (34.5% saved)

simplify397.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
cost-diff0
(/.f64 #s(literal 1 binary64) v)
cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
cost-diff384
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))))
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))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))
cost-diff256
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
cost-diff256
(/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))
cost-diff256
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
cost-diff0
(atan.f64 #s(literal -1 binary64))
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))
Rules
6490×*-lowering-*.f32
6490×*-lowering-*.f64
4170×associate-/r/
3592×cube-prod
3360×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033222
168202
2112196
3279194
4591193
51937193
62996193
73302193
83591193
93811193
104065193
114356193
124698193
135090193
145527193
155767193
165875193
175942193
186011193
196080193
206492193
217171193
010684193
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(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
(atan -1)
-1
(atan (/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v)))))
(/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v))))
v
(* v (+ 1 (/ (* -49/5 (/ H v)) v)))
(+ 1 (/ (* -49/5 (/ H v)) v))
1
(/ (* -49/5 (/ H v)) v)
(* -49/5 (/ H v))
-49/5
(/ H v)
H
(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 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))))
(* (/ 1 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 v)
1
v
(/ 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 (* (pow (+ (* v v) (* H -98/5)) -1/2) 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) 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)
(atan -1)
(atan.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(atan (/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v)))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))))
(/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v))))
(/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v))))
v
(* v (+ 1 (/ (* -49/5 (/ H v)) v)))
(+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))
(+ 1 (/ (* -49/5 (/ H v)) v))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v))
1
#s(literal 1 binary64)
(/ (* -49/5 (/ H v)) v)
(/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)
(* -49/5 (/ H v))
(*.f64 H (/.f64 #s(literal -49/5 binary64) v))
-49/5
#s(literal -49/5 binary64)
(/ H v)
(/.f64 H v)
H
(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 H #s(literal -98/5 binary64)))))))
(* v (sqrt (/ 1 (+ (* -98/5 H) (* v v)))))
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
v
(sqrt (/ 1 (+ (* -98/5 H) (* v v))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/ 1 (+ (* -98/5 H) (* v v)))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
1
#s(literal 1 binary64)
(+ (* -98/5 H) (* v v))
(+.f64 (*.f64 v v) (*.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
(* v v)
(*.f64 v v)
(atan (* (/ 1 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))))
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(* (/ 1 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
(/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))
(/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/ (sqrt (+ (* v v) (* H -98/5))) v)
(/.f64 (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)

localize267.0ms (2.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)
accuracy99.2%
(*.f64 H #s(literal -98/5 binary64))
accuracy87.6%
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
accuracy70.9%
(sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))
accuracy99.7%
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))))
accuracy99.2%
(*.f64 #s(literal -98/5 binary64) H)
accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v)))
accuracy71.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))
accuracy99.9%
(/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))))
accuracy99.8%
(/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)
accuracy99.4%
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
accuracy92.9%
(*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
accuracy100.0%
(atan.f64 #s(literal -1 binary64))
accuracy100.0%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
accuracy99.7%
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
accuracy99.2%
(*.f64 H #s(literal -98/5 binary64))
accuracy70.9%
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
Results
178.0ms248×0valid
27.0ms5exit
Compiler

Compiled 265 to 34 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 24.0ms (28.4% of total)
ival-div: 15.0ms (17.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (15.4% of total)
ival-atan: 13.0ms (15.4% of total)
ival-pow: 7.0ms (8.3% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-add: 4.0ms (4.7% of total)
backward-pass: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)

series45.0ms (0.4%)

Counts
23 → 492
Calls
Call 1
Inputs
#<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 (atan -1)>
#<alt (atan (/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v)))))>
#<alt (/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v))))>
#<alt (* v (+ 1 (/ (* -49/5 (/ H v)) v)))>
#<alt (+ 1 (/ (* -49/5 (/ H v)) v))>
#<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 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))))>
#<alt (* (/ 1 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v)))>
#<alt (/ 1 v)>
#<alt (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))>
#<alt (* H -98/5)>
#<alt (* -49/5 (/ H v))>
#<alt (/ (* -49/5 (/ H v)) v)>
#<alt (* -98/5 H)>
#<alt (sqrt (+ (* v v) (* H -98/5)))>
#<alt (/ (sqrt (+ (* v v) (* H -98/5))) v)>
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>
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#<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 (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)>
#<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))))))) v)>
#<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))))))))) v)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt (+ 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>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))>
#<alt (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))>
#<alt (* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))>
Calls

123 calls:

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

rewrite354.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
3192×*-lowering-*.f32
3192×*-lowering-*.f64
2596×/-lowering-/.f32
2596×/-lowering-/.f64
1800×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033175
1122153
2547148
34075148
08789148
Stop Event
iter limit
node limit
Counts
23 → 1380
Calls
Call 1
Inputs
(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))
(atan -1)
(atan (/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v)))))
(/ v (* v (+ 1 (/ (* -49/5 (/ H v)) v))))
(* v (+ 1 (/ (* -49/5 (/ H v)) v)))
(+ 1 (/ (* -49/5 (/ H v)) v))
(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 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))))
(* (/ 1 v) (/ v (/ (sqrt (+ (* v v) (* H -98/5))) v)))
(/ 1 v)
(/ v (/ (sqrt (+ (* v v) (* H -98/5))) v))
(* H -98/5)
(* -49/5 (/ H v))
(/ (* -49/5 (/ H v)) v)
(* -98/5 H)
(sqrt (+ (* v v) (* H -98/5)))
(/ (sqrt (+ (* v v) (* H -98/5))) v)
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 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (+.f64 (log.f64 v) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(exp.f64 (+.f64 (log.f64 v) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))))
(exp.f64 (+.f64 (log.f64 v) (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 v) (neg.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (log.f64 v)))
(exp.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))))) (log.f64 v)))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 v)))
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) (log.f64 v)))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 v))))
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 v))))
(exp.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 v))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 v))))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 v))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v))) #s(literal -1 binary64)) (log.f64 v)))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))) (log.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (*.f64 v v) (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(/.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) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 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))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)))
(/.f64 (/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) v)
(/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) (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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))
(/.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 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 #s(literal -1 binary64) v) (/.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)))) v))
(/.f64 (/.f64 v (/.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 0 binary64) v))
(/.f64 (neg.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 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 v (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (*.f64 v v) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))))
(/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v)) (*.f64 (sqrt.f64 (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))) #s(literal -1 binary64)))
(/.f64 (/.f64 (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) v))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))
(pow.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 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(*.f64 v (pow.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 v 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)))
(*.f64 (*.f64 v v) (pow.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)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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) (/.f64 (-.f64 #s(literal 0 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 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 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)) #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 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v)
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (-.f64 #s(literal 0 binary64) v) (neg.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) v))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.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) v) (pow.f64 (neg.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) v) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.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 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 v) (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (log.f64 v) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)) (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64)))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)))))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 v)) (*.f64 (*.f64 (log.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 0 binary64) (log.f64 v)) (neg.f64 (*.f64 (log.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 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) (-.f64 #s(literal 0 binary64) v)) (/.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)))))
(neg.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)))))
(neg.f64 (/.f64 v (/.f64 v (/.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 v (/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)
(/.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 v (/.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 -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 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(/.f64 (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (*.f64 v v))
(/.f64 (*.f64 v (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(/.f64 (*.f64 v (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (-.f64 #s(literal 0 binary64) v)) (*.f64 (*.f64 v v) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) v)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 1 binary64))
(pow.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 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v 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) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
(*.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) v))
(*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) v) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.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)))) v))
(*.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (/.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)))) v) #s(literal 1 binary64)))
(*.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 (/.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)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) v)) #s(literal -1 binary64)))
(*.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)))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)) v)
(*.f64 (/.f64 #s(literal -1 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 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64)))
(*.f64 (/.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)))) v) (-.f64 #s(literal 0 binary64) v))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.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 (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.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)))) v) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (pow.f64 (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.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 #s(literal -1 binary64) v))
(*.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.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)))) v))
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 v v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (pow.f64 (/.f64 v (*.f64 v (/.f64 #s(literal -1 binary64) (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) v))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal -1 binary64) (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 v v))))

simplify447.0ms (4.2%)

Algorithm
egg-herbie
Rules
6530×*-lowering-*.f32
6530×*-lowering-*.f64
3114×+-lowering-+.f64
3114×+-lowering-+.f32
1772×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07057853
123117096
279167095
080907095
Stop Event
iter limit
node limit
Counts
492 → 492
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)
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(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)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(* (sqrt (/ 1 H)) (* (pow v 2) (sqrt -5/98)))
(* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* (pow v 2) (+ (* (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))))))))
(* (pow v 2) (+ (* (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))))))))))
v
(* 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)))))))
(* -1 v)
(* -1 (* v (+ 1 (* 49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
(* -1 (* 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
(+ v (* 49/5 (/ H v)))
(+ v (* H (+ (* 7203/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (+ (* H (+ (* 117649/50 (/ H (pow v 5))) (* 7203/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt (/ 1 H)) (* (pow v 2) (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 4) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 4) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 6) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 2) (+ (* 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 4) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 6) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* (pow v 2) (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 6) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 6) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (pow v 2) (* (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 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (pow v 2) (* (sqrt -1) (sqrt 5/98))))))
(* -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 v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H 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)))
(* -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)
(* (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))))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/ (+ (* (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))))))) v)
(/ (+ (* (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)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (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))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) 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))))))
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v
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1
#s(literal 1 binary64)
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1
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(* (sqrt H) (/ (sqrt -98/5) v))
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(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (sqrt.f64 #s(literal -1 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)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/8 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(*.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (sqrt.f64 #s(literal -1 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)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 98/5 binary64) (sqrt.f64 #s(literal 98/5 binary64)))) #s(literal -1/8 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64))))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))))) (neg.f64 H))

eval298.0ms (2.8%)

Compiler

Compiled 40252 to 6273 computations (84.4% saved)

prune564.0ms (5.3%)

Pruning

33 alts after pruning (29 fresh and 4 done)

PrunedKeptTotal
New1919191938
Fresh41014
Picked235
Done011
Total1925331958
Accuracy
100.0%
Counts
1958 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.2%
(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)))
39.2%
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) v))
39.2%
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
61.7%
(atan.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v)))
21.8%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
31.6%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
21.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
12.6%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
38.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
39.2%
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
67.1%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))))
67.2%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
40.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))))
66.5%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)))
39.2%
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
39.1%
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
34.1%
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
67.2%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
40.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) v))
12.6%
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
39.2%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
63.8%
(atan.f64 (*.f64 (/.f64 v (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) v))
39.0%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)) v))))
28.5%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))))
39.0%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 (/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v) #s(literal -1 binary64)))))
39.2%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
52.4%
(atan.f64 (*.f64 (/.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 v v))))
63.0%
(atan.f64 (*.f64 (*.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)) v) v))
67.2%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
41.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
34.2%
(atan.f64 #s(literal 1 binary64))
33.9%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 980 to 664 computations (32.2% saved)

simplify141.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))
cost-diff0
(/.f64 #s(literal 1 binary64) v)
cost-diff384
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
cost-diff384
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v))
cost-diff384
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))
cost-diff384
(/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v)))
cost-diff384
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
cost-diff0
(+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))
cost-diff256
(/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))
cost-diff256
(/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H)))
cost-diff256
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
cost-diff0
(atan.f64 #s(literal 1 binary64))
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
2756×*-lowering-*.f32
2756×*-lowering-*.f64
1224×times-frac
984×fmsub-define
960×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036228
169203
2136193
3311192
4946178
53619178
08483178
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 1)
1
(atan (/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))))
(/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H)))
v
(/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))
(+ (/ v H) (/ -49/5 v))
(/ v H)
H
(/ -49/5 v)
-49/5
(/ 1 H)
1
(atan (/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))))
(/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v)))
v
(* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))
(+ 1 (/ (* -49/5 (/ H v)) v))
1
(/ (* -49/5 (/ H v)) v)
(* -49/5 (/ H v))
-49/5
(/ H v)
H
(- 0 v)
0
(atan (* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v))))
(* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v)))
(/ 1 v)
1
v
(/ 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 1)
(atan.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(atan (/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))))
(/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H)))
(/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v))))
v
(/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))
(+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))
(+ (/ v H) (/ -49/5 v))
(+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))
(/ v H)
(/.f64 v H)
H
(/ -49/5 v)
(/.f64 #s(literal -49/5 binary64) v)
-49/5
#s(literal -49/5 binary64)
(/ 1 H)
(/.f64 #s(literal 1 binary64) H)
1
#s(literal 1 binary64)
(atan (/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))))
(atan.f64 (/.f64 v (-.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v)))
(/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v)))
(/.f64 v (-.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v))
v
(* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))
(-.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v)
(+ 1 (/ (* -49/5 (/ H v)) v))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v))
1
#s(literal 1 binary64)
(/ (* -49/5 (/ H v)) v)
(/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)
(* -49/5 (/ H v))
(*.f64 H (/.f64 #s(literal -49/5 binary64) v))
-49/5
#s(literal -49/5 binary64)
(/ H v)
(/.f64 H v)
H
(- 0 v)
(-.f64 #s(literal 0 binary64) v)
0
#s(literal 0 binary64)
(atan (* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v)))
(/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
(/ v (/ (sqrt (* -98/5 H)) v))
(/.f64 (*.f64 v v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(/ (sqrt (* -98/5 H)) v)
(/.f64 (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

localize309.0ms (2.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(sqrt.f64 (*.f64 #s(literal -98/5 binary64) H))
accuracy99.7%
(/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)
accuracy99.5%
(*.f64 #s(literal -98/5 binary64) H)
accuracy75.2%
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v)))
accuracy99.9%
(/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v)))
accuracy99.9%
(/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)
accuracy99.6%
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
accuracy92.9%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))
accuracy100.0%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
accuracy99.9%
(/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H)))
accuracy99.5%
(/.f64 #s(literal -49/5 binary64) v)
accuracy92.4%
(/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))
accuracy100.0%
(atan.f64 #s(literal 1 binary64))
accuracy100.0%
(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)))
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))
accuracy84.3%
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
Results
121.0ms175×0valid
49.0ms75×0invalid
28.0ms5exit
Compiler

Compiled 250 to 37 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-atan: 27.0ms (24.9% of total)
ival-mult: 23.0ms (21.2% of total)
ival-div: 22.0ms (20.3% of total)
ival-pow: 14.0ms (12.9% of total)
...c/correct-round.rkt:119:19: 10.0ms (9.2% of total)
ival-add: 5.0ms (4.6% of total)
backward-pass: 3.0ms (2.8% of total)
ival-sqrt: 2.0ms (1.8% of total)
ival-sub: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)

series34.0ms (0.3%)

Counts
24 → 492
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 1)>
#<alt (atan (/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))))>
#<alt (/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H)))>
#<alt (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))>
#<alt (+ (/ v H) (/ -49/5 v))>
#<alt (atan (/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))))>
#<alt (/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v)))>
#<alt (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))>
#<alt (+ 1 (/ (* -49/5 (/ H v)) v))>
#<alt (atan (* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v))))>
#<alt (* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v)))>
#<alt (/ 1 v)>
#<alt (/ v (/ (sqrt (* -98/5 H)) v))>
#<alt (* H -98/5)>
#<alt (/ -49/5 v)>
#<alt (* -49/5 (/ H v))>
#<alt (/ (* -49/5 (/ H v)) v)>
#<alt (* -98/5 H)>
#<alt (/ (sqrt (* -98/5 H)) v)>
#<alt (sqrt (* -98/5 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 (/ 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 (/ 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 (/ -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 (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 (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))>
#<alt (- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))>
#<alt -1>
#<alt (- (* -49/5 (/ H (pow v 2))) 1)>
#<alt (- (* H (- (* -2401/25 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (- (* H (- (* H (- (* -117649/125 (/ H (pow v 6))) (* 2401/25 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (* 5/49 (/ (pow v 2) H))>
#<alt (/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)>
#<alt (/ (- (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 5/49 (pow v 2))) (* -25/2401 (/ (pow v 4) H))) H)>
#<alt (/ (- (+ (* 625/5764801 (/ (pow v 8) (pow H 3))) (* 5/49 (pow v 2))) (+ (* -25/2401 (/ (pow v 4) H)) (* -125/117649 (/ (pow v 6) (pow H 2))))) H)>
#<alt (* 5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) 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) (* 49/5 (/ H v)))>
#<alt (+ (* -1 v) (* 49/5 (/ H v)))>
#<alt (+ (* -1 v) (* 49/5 (/ H v)))>
#<alt (* 49/5 (/ H v))>
#<alt (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))>
#<alt (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))>
#<alt (* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))>
#<alt (* 49/5 (/ H v))>
#<alt (* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))>
#<alt (* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))>
#<alt (* 49/5 (/ H v))>
#<alt (/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)>
#<alt (/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)>
#<alt (/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)>
#<alt (* -1 v)>
#<alt (* v (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* v (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* v (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* -1 v)>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))>
#<alt (* -1 (* v (+ 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 (* -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 (* (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 (/ 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 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))>
#<alt (* (sqrt (/ 1 H)) (/ (* (pow v 2) (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 (/ -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 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 (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 (* -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 (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<alt (* (sqrt H) (/ (sqrt -98/5) v))>
#<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))))>
Calls

123 calls:

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

rewrite214.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
2866×*-lowering-*.f32
2866×*-lowering-*.f64
2444×/-lowering-/.f32
2444×/-lowering-/.f64
1688×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036195
1154166
2868157
36401155
08550155
Stop Event
iter limit
node limit
Counts
24 → 841
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 1)
(atan (/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))))
(/ v (/ (+ (/ v H) (/ -49/5 v)) (/ 1 H)))
(/ (+ (/ v H) (/ -49/5 v)) (/ 1 H))
(+ (/ v H) (/ -49/5 v))
(atan (/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))))
(/ v (* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v)))
(* (+ 1 (/ (* -49/5 (/ H v)) v)) (- 0 v))
(+ 1 (/ (* -49/5 (/ H v)) v))
(atan (* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v))))
(* (/ 1 v) (/ v (/ (sqrt (* -98/5 H)) v)))
(/ 1 v)
(/ v (/ (sqrt (* -98/5 H)) v))
(* H -98/5)
(/ -49/5 v)
(* -49/5 (/ H v))
(/ (* -49/5 (/ H v)) v)
(* -98/5 H)
(/ (sqrt (* -98/5 H)) v)
(sqrt (* -98/5 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 (neg.f64 (/.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))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.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 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) #s(literal 0 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) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) v)) #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 #s(literal -1 binary64) (log.f64 v))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.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) (/.f64 #s(literal -1 binary64) v)) (neg.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (neg.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 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 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) v))
(/.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 (/.f64 #s(literal -1 binary64) 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))
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 (*.f64 v (-.f64 #s(literal 0 binary64) (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 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) v) #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)
(*.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) (neg.f64 (/.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) v) (-.f64 #s(literal 0 binary64) (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 0 binary64) v))
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(/.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal -1 binary64) v)))
(/.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (-.f64 #s(literal 0 binary64) v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) v)) (/.f64 #s(literal -1 binary64) v))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) v)
(/.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal -1 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal -1 binary64) v))) v)
(/.f64 (/.f64 v (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (*.f64 v v))
(/.f64 (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))) v)
(/.f64 (/.f64 v (neg.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) v)
(/.f64 (*.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v)
(/.f64 (*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (-.f64 #s(literal 0 binary64) v)) v)
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/2 binary64))
(*.f64 v (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v))
(*.f64 (*.f64 v v) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (*.f64 v v)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v) v)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) v)))
(*.f64 (/.f64 #s(literal -1 binary64) v) (/.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) v)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (*.f64 v v)) (*.f64 v v))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 H))))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (/.f64 (sqrt.f64 H) v) v))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (/.f64 v (/.f64 #s(literal -1 binary64) v))) (/.f64 v (/.f64 #s(literal -1 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 H)))
(*.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal -1 binary64) v)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 v (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(*.f64 (/.f64 v (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 v (neg.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (/.f64 v (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) v) (*.f64 v v)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 H))
(*.f64 (/.f64 v (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 v v) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 v (sqrt.f64 #s(literal -98/5 binary64))) (/.f64 (sqrt.f64 H) v))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (*.f64 (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64)))) (sqrt.f64 H))

simplify336.0ms (3.2%)

Algorithm
egg-herbie
Rules
5584×*-lowering-*.f32
5584×*-lowering-*.f64
2556×+-lowering-+.f64
2556×+-lowering-+.f32
1424×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04985231
115314768
250124747
083654747
Stop Event
iter limit
node limit
Counts
492 → 492
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)))))
(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 (/ 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)))))
(/ -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)))
(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))))))
(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))))))
(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))))))
(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))))))
(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))))))
(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
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
-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))))) 1)
(* 5/49 (/ (pow v 2) H))
(/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)
(/ (- (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (* 5/49 (pow v 2))) (* -25/2401 (/ (pow v 4) H))) H)
(/ (- (+ (* 625/5764801 (/ (pow v 8) (pow H 3))) (* 5/49 (pow v 2))) (+ (* -25/2401 (/ (pow v 4) H)) (* -125/117649 (/ (pow v 6) (pow H 2))))) H)
(* 5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) 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) (* 49/5 (/ H v)))
(+ (* -1 v) (* 49/5 (/ H v)))
(+ (* -1 v) (* 49/5 (/ H v)))
(* 49/5 (/ H v))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* H (+ (* -1 (/ v H)) (* 49/5 (/ 1 v))))
(* 49/5 (/ H v))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* -1 (* H (- (/ v H) (* 49/5 (/ 1 v)))))
(* 49/5 (/ H v))
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(/ (+ (* -1 (pow v 2)) (* 49/5 H)) v)
(* -1 v)
(* v (- (* 49/5 (/ H (pow v 2))) 1))
(* v (- (* 49/5 (/ H (pow v 2))) 1))
(* v (- (* 49/5 (/ H (pow v 2))) 1))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (pow v 2))))
(* -49/5 (/ H (pow v 2)))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* -49/5 (/ H (pow v 2)))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -49/5 (/ H (pow v 2)))
(/ (+ (* -49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* -49/5 H) (pow v 2)) (pow v 2))
(/ (+ (* -49/5 H) (pow v 2)) (pow v 2))
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (pow v 2))))
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* -49/5 (/ H (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)))
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(/ 1 v)
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))
(* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))
(* (sqrt (/ 1 H)) (/ (* (pow v 2) (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)
(/ -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 v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H 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)))
(* -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)
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(* (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))))
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))))))
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1
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1
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(/.f64 (*.f64 H #s(literal -49/5 binary64)) 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 (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))
(* -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)
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (-.f64 #s(literal 0 binary64) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (/.f64 (sqrt.f64 H) v))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (*.f64 (sqrt.f64 H) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))

eval182.0ms (1.7%)

Compiler

Compiled 22436 to 3917 computations (82.5% saved)

prune207.0ms (2%)

Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New1334251359
Fresh91524
Picked325
Done044
Total1346461392
Accuracy
100.0%
Counts
1392 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
39.0%
(atan.f64 (/.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) #s(literal -1 binary64)) v))
39.2%
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) v))
39.0%
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) v))
39.0%
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
39.2%
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
17.0%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
12.9%
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5/49 binary64)) H))
61.7%
(atan.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v)))
12.6%
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
23.0%
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
21.8%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
31.6%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H))))
21.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
13.0%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal 49/5 binary64)) v)))
12.6%
(atan.f64 (/.f64 v (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
39.0%
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
38.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
39.2%
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) v)) (*.f64 H #s(literal 49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 #s(literal 0 binary64) v))))
31.5%
(atan.f64 (/.f64 v (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)))))
67.2%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
40.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
40.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
66.5%
(atan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
39.0%
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
39.2%
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
39.1%
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
67.2%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
40.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
19.1%
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 v H)))
31.7%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
18.4%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 (*.f64 v H) v)))
12.6%
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
39.2%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
39.0%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
36.4%
(atan.f64 (*.f64 (/.f64 v (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v))
28.5%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))))
39.2%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
52.4%
(atan.f64 (*.f64 (/.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 v v))))
11.5%
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 5/49 binary64) H) (/.f64 (*.f64 (*.f64 v v) #s(literal 25/2401 binary64)) (*.f64 H H)))))
67.2%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
41.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
34.2%
(atan.f64 #s(literal 1 binary64))
33.9%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 1351 to 901 computations (33.3% saved)

simplify227.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff512
(*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
cost-diff768
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v))
cost-diff1536
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
cost-diff1536
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))
cost-diff0
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))
cost-diff384
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v))
cost-diff384
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
cost-diff0
(-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
cost-diff0
(/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v))
cost-diff0
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
cost-diff128
(/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)
cost-diff0
(*.f64 v v)
cost-diff0
(/.f64 (*.f64 v v) H)
cost-diff0
(*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64))
cost-diff0
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) v)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
cost-diff256
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
cost-diff256
(atan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
Rules
2504×*-lowering-*.f32
2504×*-lowering-*.f64
2240×/-lowering-/.f32
2240×/-lowering-/.f64
1814×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042259
1112232
2245225
3604221
42400219
55850219
08131219
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(atan (/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))))
(/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2)))
-1
(/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))
(/ -1 v)
v
(pow (+ (* v v) (* H -98/5)) -1/2)
(+ (* v v) (* H -98/5))
(* v v)
(* H -98/5)
H
-98/5
-1/2
(atan (* (/ (* v v) H) -5/49))
(* (/ (* v v) H) -5/49)
(/ (* v v) H)
(* v v)
v
H
-5/49
(atan (/ v (/ (- (* H 49/5) (* v v)) v)))
(/ v (/ (- (* H 49/5) (* v v)) v))
v
(/ (- (* H 49/5) (* v v)) v)
(- (* H 49/5) (* v v))
(* H 49/5)
H
49/5
(* v v)
(atan (* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v)))
(* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v))
(/ v (+ 1 (/ -49/5 (/ v (/ H v)))))
v
(+ 1 (/ -49/5 (/ v (/ H v))))
1
(/ -49/5 (/ v (/ H v)))
-49/5
(/ v (/ H v))
(/ H v)
H
(/ 1 v)
(atan (/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))))
(/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v)))))
(- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v))
(* 0 (+ v (* -49/5 (/ H v))))
0
(+ v (* -49/5 (/ H v)))
v
(* -49/5 (/ H v))
-49/5
(/ H v)
H
(* (+ v (* -49/5 (/ H v))) v)
(* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))
Outputs
(atan (/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))))
(atan.f64 (*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2)))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
-1
#s(literal -1 binary64)
(/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))
(/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
v
(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)
(* 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)
(atan (* (/ (* v v) H) -5/49))
(atan.f64 (*.f64 v (/.f64 (*.f64 v #s(literal -5/49 binary64)) H)))
(* (/ (* v v) H) -5/49)
(*.f64 v (/.f64 (*.f64 v #s(literal -5/49 binary64)) H))
(/ (* v v) H)
(/.f64 v (/.f64 H v))
(* v v)
(*.f64 v v)
v
H
-5/49
#s(literal -5/49 binary64)
(atan (/ v (/ (- (* H 49/5) (* v v)) v)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v))))
(/ v (/ (- (* H 49/5) (* v v)) v))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)))
v
(/ (- (* H 49/5) (* v v)) v)
(-.f64 (*.f64 #s(literal 49/5 binary64) (/.f64 H v)) v)
(- (* H 49/5) (* v v))
(-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 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)
(atan (* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))))
(* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v))
(/.f64 v (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v))))
(/ v (+ 1 (/ -49/5 (/ v (/ H v)))))
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)))
v
(+ 1 (/ -49/5 (/ v (/ H v))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v))
1
#s(literal 1 binary64)
(/ -49/5 (/ v (/ H v)))
(/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)
-49/5
#s(literal -49/5 binary64)
(/ v (/ H v))
(/.f64 v (/.f64 H v))
(/ H v)
(/.f64 H v)
H
(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(atan (/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v))))
(/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v)))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H (/.f64 #s(literal -49/5 binary64) v)) v)))
(- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v))
(-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))
(* 0 (+ v (* -49/5 (/ H v))))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(+ v (* -49/5 (/ H v)))
(+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v)))
v
(* -49/5 (/ H v))
(*.f64 H (/.f64 #s(literal -49/5 binary64) v))
-49/5
#s(literal -49/5 binary64)
(/ H v)
(/.f64 H v)
H
(* (+ v (* -49/5 (/ H v))) v)
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))
(*.f64 (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v))) (+.f64 v (*.f64 H (/.f64 #s(literal -49/5 binary64) v))))

localize343.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
accuracy91.9%
(*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)
accuracy91.5%
(*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))
accuracy65.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
accuracy99.9%
(/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))
accuracy99.8%
(/.f64 v (/.f64 H v))
accuracy99.2%
(/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))
accuracy94.7%
(*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v))
accuracy100.0%
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
accuracy99.9%
(/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v))
accuracy99.2%
(*.f64 H #s(literal 49/5 binary64))
accuracy70.8%
(/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)
accuracy100.0%
(*.f64 v v)
accuracy100.0%
(atan.f64 (*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64)))
accuracy99.7%
(*.f64 (/.f64 (*.f64 v v) H) #s(literal -5/49 binary64))
accuracy87.8%
(/.f64 (*.f64 v v) H)
accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
accuracy99.2%
(*.f64 H #s(literal -98/5 binary64))
accuracy99.2%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
accuracy70.9%
(pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))
Results
239.0ms248×0valid
31.0ms5exit
Compiler

Compiled 366 to 43 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
...c/correct-round.rkt:119:19: 57.0ms (42.3% of total)
ival-div: 26.0ms (19.3% of total)
ival-mult: 16.0ms (11.9% of total)
ival-atan: 12.0ms (8.9% of total)
ival-pow: 8.0ms (5.9% of total)
backward-pass: 6.0ms (4.4% of total)
ival-add: 6.0ms (4.4% of total)
ival-sub: 3.0ms (2.2% of total)
const: 1.0ms (0.7% of total)

series30.0ms (0.3%)

Counts
27 → 600
Calls
Call 1
Inputs
#<alt (atan (/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))))>
#<alt (/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2)))>
#<alt (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))>
#<alt (/ -1 v)>
#<alt (atan (* (/ (* v v) H) -5/49))>
#<alt (* (/ (* v v) H) -5/49)>
#<alt (/ (* v v) H)>
#<alt (* v v)>
#<alt (/ (- (* H 49/5) (* v v)) v)>
#<alt (atan (/ v (/ (- (* H 49/5) (* v v)) v)))>
#<alt (/ v (/ (- (* H 49/5) (* v v)) v))>
#<alt (- (* H 49/5) (* v v))>
#<alt (atan (* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v)))>
#<alt (* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v))>
#<alt (/ v (+ 1 (/ -49/5 (/ v (/ H v)))))>
#<alt (+ 1 (/ -49/5 (/ v (/ H v))))>
#<alt (atan (/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))))>
#<alt (/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v)))))>
#<alt (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v))>
#<alt (* 0 (+ v (* -49/5 (/ H v))))>
#<alt (pow (+ (* v v) (* H -98/5)) -1/2)>
#<alt (* H -98/5)>
#<alt (* H 49/5)>
#<alt (/ -49/5 (/ v (/ H v)))>
#<alt (/ v (/ H v))>
#<alt (* (+ v (* -49/5 (/ H v))) v)>
#<alt (* -49/5 (/ H v))>
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 (* (sqrt H) (/ (sqrt -98/5) v)))>
#<alt (/ (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* -1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5))))) v)>
#<alt (/ (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3))))))) v)>
#<alt (/ (+ (* -1 (* (sqrt H) (sqrt -98/5))) (* (pow v 2) (+ (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3))))))))) v)>
#<alt -1>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)>
#<alt (- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)>
#<alt 1>
#<alt (+ 1 (* -49/5 (/ H (pow v 2))))>
#<alt (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))>
#<alt (+ 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>
#<alt (- (* 49/5 (/ H (pow v 2))) 1)>
#<alt (- (* H (+ (* 2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (- (* H (+ (* H (+ (* 117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))) 1)>
#<alt (* -1 (* (sqrt H) (/ (sqrt -98/5) v)))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5))))))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))))))>
#<alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3))))))))>
#<alt (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))))))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3))))))))>
#<alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))>
#<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 (* -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)))>
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#<alt -1>
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#<alt (- (+ (* -98/5 (/ (* H (- (* -49/5 H) (* -98/5 H))) (pow v 4))) (+ (* -1 (/ (- (* -49/5 H) (* -98/5 H)) (pow v 2))) (+ (* 98/5 (/ (* H (+ (* -98/5 (* H (- (* -49/5 H) (* -98/5 H)))) (* 2401/25 (pow H 2)))) (pow v 6))) (+ (* 2401/25 (/ (* (pow H 2) (- (* -49/5 H) (* -98/5 H))) (pow v 6))) (* 2401/25 (/ (pow H 2) (pow v 4))))))) 1)>
#<alt -1>
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#<alt (* 5/49 (/ (pow v 2) H))>
#<alt (* -1 (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) 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 (/ (+ (* -125/117649 (pow v 6)) (* -625/5764801 (/ (pow v 8) H))) H)) (* 25/2401 (pow v 4))) H)) (* -5/49 (pow v 2))) H))>
#<alt (* 49/5 H)>
#<alt (- (* -1 (pow v 2)) (* -49/5 H))>
#<alt (- (* -1 (pow v 2)) (* -49/5 H))>
#<alt (- (* -1 (pow v 2)) (* -49/5 H))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* -1 (pow v 2))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))>
#<alt (* -1 (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 (* H (+ 49/5 (* -1 (/ (pow v 2) H))))>
#<alt (* H (+ 49/5 (* -1 (/ (pow v 2) H))))>
#<alt (* H (+ 49/5 (* -1 (/ (pow v 2) H))))>
#<alt (* 49/5 H)>
#<alt (* -1 (* H (- (/ (pow v 2) H) 49/5)))>
#<alt (* -1 (* H (- (/ (pow v 2) H) 49/5)))>
#<alt (* -1 (* H (- (/ (pow v 2) H) 49/5)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<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)>
#<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 (* -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 (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (/ (pow v 2) H)>
#<alt (* -49/5 H)>
#<alt (+ (* -49/5 H) (pow v 2))>
#<alt (+ (* -49/5 H) (pow v 2))>
#<alt (+ (* -49/5 H) (pow v 2))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))>
#<alt (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 (* H (- (/ (pow v 2) H) 49/5))>
#<alt (* H (- (/ (pow v 2) H) 49/5))>
#<alt (* H (- (/ (pow v 2) H) 49/5))>
#<alt (* -49/5 H)>
#<alt (* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))>
#<alt (* -1 (* H (+ 49/5 (* -1 (/ (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))>
Calls

150 calls:

TimeVariablePointExpression
2.0ms
H
@inf
(/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))
1.0ms
v
@0
(* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v))
1.0ms
v
@inf
(/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v)))))
1.0ms
H
@-inf
(/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))
0.0ms
H
@0
(* (/ (* v v) H) -5/49)

rewrite307.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
2638×*-lowering-*.f32
2638×*-lowering-*.f64
2072×/-lowering-/.f32
2072×/-lowering-/.f64
1794×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042211
1200176
2979171
36133169
08032169
Stop Event
iter limit
node limit
Counts
27 → 1190
Calls
Call 1
Inputs
(atan (/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))))
(/ -1 (/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2)))
(/ (/ -1 v) (pow (+ (* v v) (* H -98/5)) -1/2))
(/ -1 v)
(atan (* (/ (* v v) H) -5/49))
(* (/ (* v v) H) -5/49)
(/ (* v v) H)
(* v v)
(/ (- (* H 49/5) (* v v)) v)
(atan (/ v (/ (- (* H 49/5) (* v v)) v)))
(/ v (/ (- (* H 49/5) (* v v)) v))
(- (* H 49/5) (* v v))
(atan (* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v)))
(* (/ v (+ 1 (/ -49/5 (/ v (/ H v))))) (/ 1 v))
(/ v (+ 1 (/ -49/5 (/ v (/ H v)))))
(+ 1 (/ -49/5 (/ v (/ H v))))
(atan (/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v))))))
(/ (- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v)) (* (+ v (* -49/5 (/ H v))) (+ v (* -49/5 (/ H v)))))
(- (* 0 (+ v (* -49/5 (/ H v)))) (* (+ v (* -49/5 (/ H v))) v))
(* 0 (+ v (* -49/5 (/ H v))))
(pow (+ (* v v) (* H -98/5)) -1/2)
(* H -98/5)
(* H 49/5)
(/ -49/5 (/ v (/ H v)))
(/ v (/ H v))
(* (+ v (* -49/5 (/ H v))) v)
(* -49/5 (/ H v))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (*.f64 v v) (*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 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))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (-.f64 #s(literal 0 binary64) v)))
(/.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 (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64))
(/.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (*.f64 v v)) v)
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (*.f64 v v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) v)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))
(*.f64 v (pow.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (*.f64 v v) (*.f64 (/.f64 #s(literal 1 binary64) 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)
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) v) (pow.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 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 0 binary64) v))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64))
(*.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) v)
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 #s(literal -1 binary64) (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal 1 binary64)) (*.f64 v v))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) #s(literal -1 binary64)) (*.f64 v v))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (/.f64 (/.f64 v H) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 v H)) #s(literal -1 binary64)) v)
(+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(+.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(+.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(+.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 v v) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))
(-.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(-.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))
(-.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(-.f64 (-.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) v) (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 v v))
(fma.f64 v v (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))
(fma.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (*.f64 v v))
(fma.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) #s(literal 0 binary64))
(fma.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 v (+.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 v v) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v) (*.f64 v v))
(fma.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) #s(literal 0 binary64))
(fma.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 H (*.f64 (/.f64 #s(literal -49/5 binary64) v) v) (*.f64 v v))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (*.f64 v v))
(fma.f64 #s(literal -49/5 binary64) (*.f64 (/.f64 H v) v) (*.f64 v v))
(fma.f64 (/.f64 H v) (*.f64 #s(literal -49/5 binary64) v) (*.f64 v v))
(fma.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v (*.f64 v v))
(fma.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) v #s(literal 0 binary64))
(fma.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) v (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) v) v) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) (-.f64 #s(literal 0 binary64) v) (*.f64 v v))
(fma.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (-.f64 #s(literal 0 binary64) v) #s(literal 0 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (-.f64 #s(literal 0 binary64) v) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (*.f64 v #s(literal -49/5 binary64)) (/.f64 H v) (*.f64 v v))
(fma.f64 (*.f64 v (*.f64 H #s(literal -49/5 binary64))) (/.f64 #s(literal 1 binary64) v) (*.f64 v v))
(fma.f64 (*.f64 v (/.f64 H v)) #s(literal -49/5 binary64) (*.f64 v v))
(fma.f64 (*.f64 v H) (/.f64 #s(literal -49/5 binary64) v) (*.f64 v v))
(fma.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v) (*.f64 v v))
(neg.f64 (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))
(/.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) #s(literal -1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 v v)) v)
(/.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) v))
(/.f64 (*.f64 (*.f64 v v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))) v)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))
(*.f64 #s(literal -1 binary64) (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))
(*.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) v)
(*.f64 (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) v) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v))
(*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))
(neg.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64)))))
(/.f64 H (/.f64 v #s(literal -49/5 binary64)))
(/.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (/.f64 v H)))
(/.f64 (*.f64 H #s(literal 49/5 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 v (*.f64 H #s(literal -49/5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -49/5 binary64) (/.f64 v H))
(/.f64 (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))
(/.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) v)
(/.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) #s(literal -1 binary64)) v)
(/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) v))
(/.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) v)
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(/.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal -1 binary64) H)) (-.f64 #s(literal 0 binary64) v))
(pow.f64 (/.f64 v (*.f64 H #s(literal -49/5 binary64))) #s(literal -1 binary64))
(*.f64 H (/.f64 #s(literal -49/5 binary64) v))
(*.f64 #s(literal 49/5 binary64) (-.f64 #s(literal 0 binary64) (/.f64 H v)))
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(*.f64 #s(literal 1 binary64) (/.f64 H (/.f64 v #s(literal -49/5 binary64))))
(*.f64 #s(literal -49/5 binary64) (/.f64 H v))
(*.f64 (/.f64 H v) #s(literal -49/5 binary64))
(*.f64 (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v) v)
(*.f64 (/.f64 #s(literal 1 binary64) v) (*.f64 H #s(literal -49/5 binary64)))
(*.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) H) (/.f64 #s(literal 49/5 binary64) v))
(*.f64 (-.f64 #s(literal 0 binary64) H) (*.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -49/5 binary64)))
(*.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) #s(literal -1 binary64))
(*.f64 (/.f64 H (*.f64 v v)) (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 H #s(literal -49/5 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal -49/5 binary64) v) H)
(*.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v (/.f64 H v))) (-.f64 #s(literal 0 binary64) v))
(*.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal 49/5 binary64) v) (-.f64 #s(literal 0 binary64) H))
(*.f64 (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 H #s(literal -1 binary64)) (/.f64 #s(literal 49/5 binary64) v))
(*.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 H (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(*.f64 (/.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1 binary64) v))

simplify396.0ms (3.7%)

Algorithm
egg-herbie
Rules
5674×*-lowering-*.f32
5674×*-lowering-*.f64
2440×+-lowering-+.f64
2440×+-lowering-+.f32
1476×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06986616
122455813
277255809
081035809
Stop Event
iter limit
node limit
Counts
600 → 600
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
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(* -49/5 (/ H (pow v 2)))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* H (- (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))
(* -49/5 (/ H (pow v 2)))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(* -1 (* H (- (* 49/5 (/ 1 (pow v 2))) (/ 1 H))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ (+ (* -49/5 H) (pow v 2)) (pow (+ v (* -49/5 (/ H v))) 2))))
(atan (* -1 (/ (+ (* -49/5 H) (pow v 2)) (pow (+ v (* -49/5 (/ H v))) 2))))
(atan (* -1 (/ (+ (* -49/5 H) (pow v 2)) (pow (+ v (* -49/5 (/ H v))) 2))))
(atan (* -1 (/ (+ (* -49/5 H) (pow v 2)) (pow (+ v (* -49/5 (/ H v))) 2))))
(atan (* -1 (/ v (- (* -49/5 (/ H v)) (* -1 v)))))
(atan (* -1 (/ v (- (* -49/5 (/ H v)) (* -1 v)))))
(atan (* -1 (/ v (- (* -49/5 (/ H v)) (* -1 v)))))
(atan (* -1 (/ v (- (* -49/5 (/ H v)) (* -1 v)))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (- v (* 49/5 (/ H v))))))
(atan (* -1 (/ v (- v (* 49/5 (/ H v))))))
(atan (* -1 (/ v (- v (* 49/5 (/ H v))))))
(atan (* -1 (/ v (- v (* 49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H v))))))
(atan (* -1 (/ v (+ v (* -49/5 (/ H 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) (* -98/5 H)) (pow v 2))) 1)
(- (+ (* -98/5 (/ (* H (- (* -49/5 H) (* -98/5 H))) (pow v 4))) (+ (* -1 (/ (- (* -49/5 H) (* -98/5 H)) (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))) 1)
(- (+ (* -98/5 (/ (* H (- (* -49/5 H) (* -98/5 H))) (pow v 4))) (+ (* -1 (/ (- (* -49/5 H) (* -98/5 H)) (pow v 2))) (+ (* 98/5 (/ (* H (+ (* -98/5 (* H (- (* -49/5 H) (* -98/5 H)))) (* 2401/25 (pow H 2)))) (pow v 6))) (+ (* 2401/25 (/ (* (pow H 2) (- (* -49/5 H) (* -98/5 H))) (pow v 6))) (* 2401/25 (/ (pow H 2) (pow v 4))))))) 1)
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -2401/25 (/ (pow H 2) (pow v 4))) (+ 1 (* 49/5 (/ H (pow v 2)))))
(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
-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))))) 1)
(* 5/49 (/ (pow v 2) H))
(/ (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))) H)
(/ (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2)))) H)
(/ (+ (* 625/5764801 (/ (pow v 8) (pow H 3))) (+ (* 125/117649 (/ (pow v 6) (pow H 2))) (+ (* 25/2401 (/ (pow v 4) H)) (* 5/49 (pow v 2))))) H)
(* 5/49 (/ (pow v 2) H))
(* -1 (/ (+ (* -5/49 (pow v 2)) (* -25/2401 (/ (pow v 4) H))) H))
(* -1 (/ (+ (* -1 (/ (+ (* 125/117649 (/ (pow v 6) H)) (* 25/2401 (pow v 4))) H)) (* -5/49 (pow v 2))) H))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -125/117649 (pow v 6)) (* -625/5764801 (/ (pow v 8) H))) H)) (* 25/2401 (pow v 4))) H)) (* -5/49 (pow v 2))) H))
(* 49/5 H)
(- (* -1 (pow v 2)) (* -49/5 H))
(- (* -1 (pow v 2)) (* -49/5 H))
(- (* -1 (pow v 2)) (* -49/5 H))
(* -1 (pow v 2))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* -1 (pow v 2))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* (pow v 2) (- (* 49/5 (/ H (pow v 2))) 1))
(* -1 (pow v 2))
(- (* 49/5 H) (pow v 2))
(- (* 49/5 H) (pow v 2))
(- (* 49/5 H) (pow v 2))
(* 49/5 H)
(* H (+ 49/5 (* -1 (/ (pow v 2) H))))
(* H (+ 49/5 (* -1 (/ (pow v 2) H))))
(* H (+ 49/5 (* -1 (/ (pow v 2) H))))
(* 49/5 H)
(* -1 (* H (- (/ (pow v 2) H) 49/5)))
(* -1 (* H (- (/ (pow v 2) H) 49/5)))
(* -1 (* H (- (/ (pow v 2) H) 49/5)))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (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)
(* -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)
(* -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)))
(/ (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) H)
(* -49/5 H)
(+ (* -49/5 H) (pow v 2))
(+ (* -49/5 H) (pow v 2))
(+ (* -49/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -49/5 H) (pow v 2))
(+ (* -49/5 H) (pow v 2))
(+ (* -49/5 H) (pow v 2))
(* -49/5 H)
(* H (- (/ (pow v 2) H) 49/5))
(* H (- (/ (pow v 2) H) 49/5))
(* H (- (/ (pow v 2) H) 49/5))
(* -49/5 H)
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ H v))
(* -49/5 (/ 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 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))))))))))
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v
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v
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v
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(/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v))
(/ (+ (* -49/5 H) (pow v 2)) (pow v 2))
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(* 5/49 (/ (pow v 2) H))
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(- (* -117649/125 (/ (pow H 3) (pow v 6))) (+ 1 (+ (* 49/5 (/ H (pow v 2))) (* 2401/25 (/ (pow H 2) (pow v 4))))))
(-.f64 (+.f64 (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/125 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 H (+.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (*.f64 #s(literal 2401/25 binary64) (/.f64 H (pow.f64 v #s(literal 4 binary64)))))))
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(* 5/49 (/ (pow v 2) H))
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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 (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))
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(/ (pow v 2) H)
(/.f64 (*.f64 v v) H)
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(* (pow v 2) (+ 1 (* -49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) (*.f64 v v)))))
(pow v 2)
(*.f64 v v)
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(+ (* -49/5 H) (pow v 2))
(+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* H (- (/ (pow v 2) H) 49/5))
(*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 49/5))
(*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))
(* H (- (/ (pow v 2) H) 49/5))
(*.f64 H (+.f64 #s(literal -49/5 binary64) (/.f64 (*.f64 v v) H)))
(* -49/5 H)
(*.f64 H #s(literal -49/5 binary64))
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(-.f64 #s(literal 0 binary64) (*.f64 H (-.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 v v) H))))
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(-.f64 #s(literal 0 binary64) (*.f64 H (-.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 v v) H))))
(* -1 (* H (+ 49/5 (* -1 (/ (pow v 2) H)))))
(-.f64 #s(literal 0 binary64) (*.f64 H (-.f64 #s(literal 49/5 binary64) (/.f64 (*.f64 v v) H))))
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)
(* -49/5 (/ H v))
(/.f64 (*.f64 H #s(literal -49/5 binary64)) v)

eval351.0ms (3.3%)

Compiler

Compiled 45914 to 5548 computations (87.9% saved)

prune307.0ms (2.9%)

Pruning

58 alts after pruning (50 fresh and 8 done)

PrunedKeptTotal
New2029312060
Fresh161935
Picked325
Done066
Total2048582106
Accuracy
100.0%
Counts
2106 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.8%
(atan.f64 (/.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) v)))
39.0%
(atan.f64 (/.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) #s(literal -1 binary64)) v))
10.0%
(atan.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
12.7%
(atan.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 v v)) v) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
39.0%
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) v))
12.6%
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
39.0%
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
21.9%
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
17.0%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
16.7%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v)))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
52.4%
(atan.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (*.f64 v v)) v))
14.2%
(atan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -5/49 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 H v))))
12.9%
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 5/49 binary64)) H))
12.6%
(atan.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal -5/49 binary64)) H))
21.9%
(atan.f64 (/.f64 (*.f64 v v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))))
8.3%
(atan.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
61.7%
(atan.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v)))
22.9%
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 v (/.f64 #s(literal 1 binary64) v))) v)))
23.0%
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
31.6%
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H))))
21.1%
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
39.0%
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
39.2%
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
38.7%
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) v)) (*.f64 H #s(literal 49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))))
39.0%
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 #s(literal 0 binary64) v))))
17.9%
(atan.f64 (/.f64 v (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))))
67.2%
(atan.f64 (/.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))))))
40.9%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
40.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))) v)))
66.5%
(atan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
67.2%
(atan.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) v))
40.9%
(atan.f64 (*.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1/2 binary64)) v))
12.5%
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
19.1%
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 v H)))
31.7%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
18.4%
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 (*.f64 v H) v)))
12.6%
(atan.f64 (*.f64 (/.f64 v (/.f64 H v)) #s(literal -5/49 binary64)))
39.2%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (*.f64 v v)) #s(literal -5/49 binary64)))) (/.f64 #s(literal 1 binary64) v)))
39.2%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (/.f64 v #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
39.2%
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal -5/49 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
36.4%
(atan.f64 (*.f64 (/.f64 v (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v))
12.6%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
28.5%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) v))))
21.9%
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
18.3%
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))))
18.1%
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
12.6%
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 binary64)))
12.6%
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
12.6%
(atan.f64 (*.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))) #s(literal -5/49 binary64)))
16.3%
(atan.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
22.4%
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
18.1%
(atan.f64 (*.f64 v (/.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
13.0%
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
67.2%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))
41.0%
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
34.2%
(atan.f64 #s(literal 1 binary64))
33.9%
(atan.f64 #s(literal -1 binary64))
Compiler

Compiled 2538 to 1048 computations (58.7% saved)

regimes153.0ms (1.4%)

Counts
96 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (/.f64 v (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
(atan.f64 (/.f64 (*.f64 v v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))))
(atan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -5/49 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 H v))))
(atan.f64 (*.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 v (/.f64 #s(literal 1 binary64) v))) v)))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) v))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) v))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 (/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v) #s(literal -1 binary64)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (*.f64 v v)) #s(literal -5/49 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 v H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(atan.f64 (/.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) #s(literal -1 binary64)) v))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 5/49 binary64) H) (/.f64 (*.f64 (*.f64 v v) #s(literal 25/2401 binary64)) (*.f64 H H)))))
(atan.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal -5/49 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 (*.f64 v H) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (/.f64 v #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) v)) (*.f64 H #s(literal 49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)) v))))
(atan.f64 (*.f64 v (/.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(atan.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 v v)) v) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v)))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(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 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 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 (/.f64 v (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 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 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (*.f64 #s(literal -98/5 binary64) H)) 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 v (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(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 (/.f64 v (*.f64 v (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))) v))
(atan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))
(atan.f64 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (*.f64 v v)) v))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) v))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))))))))
(atan.f64 (*.f64 (*.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)) v) v))
(atan.f64 (*.f64 (/.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 v v))))
(atan.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v)))
(atan.f64 (/.f64 (/.f64 v (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64))) (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) v) (sqrt.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1/2 binary64)))))))
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

5 calls:

31.0ms
H
30.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
29.0ms
v
28.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
25.0ms
(atan.f64 (/.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
70.2%2H
83.3%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
83.3%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
70.2%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes44.0ms (0.4%)

Counts
77 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (/.f64 v (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
(atan.f64 (/.f64 (*.f64 v v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))))
(atan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -5/49 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 H v))))
(atan.f64 (*.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 v (/.f64 #s(literal 1 binary64) v))) v)))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) v))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) v))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 (/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v) #s(literal -1 binary64)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (*.f64 v v)) #s(literal -5/49 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 v H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(atan.f64 (/.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) #s(literal -1 binary64)) v))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 5/49 binary64) H) (/.f64 (*.f64 (*.f64 v v) #s(literal 25/2401 binary64)) (*.f64 H H)))))
(atan.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal -5/49 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 (*.f64 v H) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (/.f64 v #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) v)) (*.f64 H #s(literal 49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)) v))))
(atan.f64 (*.f64 v (/.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(atan.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 v v)) v) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v)))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(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 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64)))))
(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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 H #s(literal -98/5 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 (/.f64 v (*.f64 v (sqrt.f64 (*.f64 H #s(literal -98/5 binary64))))) v))
Outputs
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
Calls

1 calls:

34.0ms
v
Results
AccuracySegmentsBranch
90.0%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.3%)

Counts
69 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (/.f64 v (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
(atan.f64 (/.f64 (*.f64 v v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))))
(atan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -5/49 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 H v))))
(atan.f64 (*.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 v (/.f64 #s(literal 1 binary64) v))) v)))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) v))
(atan.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) v))
(atan.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (+.f64 (/.f64 (*.f64 H (/.f64 #s(literal 49/5 binary64) v)) v) #s(literal -1 binary64)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 H (*.f64 v v)) #s(literal -5/49 binary64)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 v H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 v H)))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H v) (/.f64 #s(literal -49/5 binary64) v))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -5/49 binary64))) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 v v))))
(atan.f64 (/.f64 (/.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))) #s(literal -1 binary64)) v))
(atan.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal 5/49 binary64) H) (/.f64 (*.f64 (*.f64 v v) #s(literal 25/2401 binary64)) (*.f64 H H)))))
(atan.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal -5/49 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (*.f64 v v) (*.f64 H #s(literal -49/5 binary64)))) (*.f64 (*.f64 v H) v)))
(atan.f64 (*.f64 (/.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (/.f64 v #s(literal -49/5 binary64)))) (/.f64 #s(literal 1 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 H (/.f64 v #s(literal -49/5 binary64))) v)) (*.f64 v v)) (/.f64 #s(literal 1 binary64) v))))
(atan.f64 (/.f64 v (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 v (/.f64 #s(literal -1 binary64) v)) (*.f64 H #s(literal 49/5 binary64))))) (-.f64 #s(literal 0 binary64) v))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 H (+.f64 (/.f64 (*.f64 H #s(literal -2401/50 binary64)) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v))))))
(atan.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 v (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))) (-.f64 #s(literal 0 binary64) v)) v))))
(atan.f64 (*.f64 v (/.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))))
(atan.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (/.f64 v (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 (*.f64 v #s(literal -49/5 binary64)) H))) (*.f64 (/.f64 #s(literal -1 binary64) v) (*.f64 v v)))))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64)))))
(atan.f64 (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v) (*.f64 v v)) v) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))) (*.f64 (+.f64 v (*.f64 (/.f64 H (*.f64 v v)) (/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) v)))) v)) (*.f64 (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))) (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(atan.f64 (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (-.f64 (/.f64 #s(literal 49/5 binary64) (/.f64 v H)) v)) (+.f64 (*.f64 v v) (*.f64 (*.f64 H #s(literal -49/5 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))) (*.f64 (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))) (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64)))))))
Outputs
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
Calls

1 calls:

20.0ms
v
Results
AccuracySegmentsBranch
71.4%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
34 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (/.f64 v (*.f64 H (-.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 v H)))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v)) v)))
(atan.f64 (/.f64 (*.f64 v v) (-.f64 (*.f64 H #s(literal 49/5 binary64)) (*.f64 v v))))
(atan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) v) #s(literal -5/49 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 H v))))
(atan.f64 (*.f64 (*.f64 (*.f64 v v) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 H v))) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) H) (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v))) v))
(atan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
(atan.f64 (/.f64 v (*.f64 v (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v H) (/.f64 #s(literal -49/5 binary64) v)) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (/.f64 v (/.f64 (+.f64 (/.f64 v (/.f64 H v)) #s(literal -49/5 binary64)) (/.f64 v H))))
(atan.f64 (/.f64 v (/.f64 (-.f64 (*.f64 H #s(literal 49/5 binary64)) (/.f64 v (/.f64 #s(literal 1 binary64) v))) v)))
(atan.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)) (/.f64 #s(literal 1 binary64) v)))
Outputs
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v))))))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
Calls

1 calls:

11.0ms
v
Results
AccuracySegmentsBranch
71.4%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (-.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v)))
(atan.f64 (/.f64 v (/.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 #s(literal 1 binary64) H))))
(atan.f64 (*.f64 (/.f64 (/.f64 (*.f64 v (*.f64 v v)) v) H) #s(literal -5/49 binary64)))
(atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 H #s(literal 49/5 binary64)) v) v))))
Outputs
(atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
Calls

1 calls:

7.0ms
v
Results
AccuracySegmentsBranch
71.4%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
(atan.f64 (/.f64 v (+.f64 v (/.f64 H (/.f64 v #s(literal -49/5 binary64))))))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))
Calls

1 calls:

6.0ms
v
Results
AccuracySegmentsBranch
71.1%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 #s(literal 1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 (*.f64 (*.f64 (/.f64 v H) v) #s(literal -5/49 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 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 (*.f64 v v) #s(literal 5/49 binary64)) H))
(atan.f64 (/.f64 (/.f64 v #s(literal -49/5 binary64)) (/.f64 H v)))
(atan.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) H) (*.f64 v v)) #s(literal -5/49 binary64)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 H (*.f64 v v))) #s(literal -5/49 binary64)))
(atan.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -49/5 binary64) (/.f64 H v)) v)))
Outputs
(atan.f64 #s(literal -1 binary64))
(atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H))))
(atan.f64 #s(literal 1 binary64))
Calls

2 calls:

5.0ms
H
5.0ms
v
Results
AccuracySegmentsBranch
37.3%2H
70.9%3v
Compiler

Compiled 6 to 4 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:

3.0ms
v
Results
AccuracySegmentsBranch
66.3%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
33.9%1H
33.9%1v
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
16.0ms
1.1316141675119665e+85
4.673147146161033e+85
7.0ms
-4.823478062612576e+161
-7.148174844883613e+152
Results
18.0ms144×0valid
0.0ms0invalid
Compiler

Compiled 191 to 150 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 4.0ms (31% of total)
ival-mult: 3.0ms (23.2% of total)
...c/correct-round.rkt:119:19: 2.0ms (15.5% of total)
ival-atan: 2.0ms (15.5% of total)
ival-sub: 1.0ms (7.7% of total)
ival-div: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.226252709981429e-72
6.118632909371267e-66
0.0ms
-2.1267164339889135e-78
-2.081071212817077e-78
Results
16.0ms144×0valid
3.0ms35×0invalid
Compiler

Compiled 227 to 168 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (31.3% of total)
ival-atan: 3.0ms (23.4% of total)
...c/correct-round.rkt:119:19: 2.0ms (15.6% of total)
ival-sub: 1.0ms (7.8% of total)
ival-div: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.2622446107830479e-250
-3.1286496811908938e-257
Results
17.0ms144×0valid
4.0ms43×0invalid
Compiler

Compiled 290 to 204 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (27.5% of total)
ival-div: 3.0ms (20.6% of total)
ival-sub: 1.0ms (6.9% of total)
ival-sqrt: 1.0ms (6.9% of total)
ival-atan: 1.0ms (6.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
52.0ms
-1.2622446107830479e-250
-3.1286496811908938e-257
Results
23.0ms144×0valid
21.0ms75×0invalid
Compiler

Compiled 272 to 204 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 5.0ms (35.2% of total)
...c/correct-round.rkt:119:19: 3.0ms (21.1% of total)
ival-sqrt: 3.0ms (21.1% of total)
ival-sub: 1.0ms (7% of total)
ival-div: 1.0ms (7% of total)
ival-atan: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-1.2622446107830479e-250
-3.1286496811908938e-257
Results
16.0ms144×0valid
5.0ms55×0invalid
Compiler

Compiled 254 to 177 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.8% of total)
...c/correct-round.rkt:119:19: 3.0ms (21.4% of total)
ival-sub: 1.0ms (7.1% of total)
ival-div: 1.0ms (7.1% of total)
ival-sqrt: 1.0ms (7.1% of total)
ival-atan: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
-2.3899823155088593e-182
-4.089504922230972e-183
Results
22.0ms96×0valid
3.0ms38×0invalid
Compiler

Compiled 128 to 99 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (76.4% of total)
...c/correct-round.rkt:119:19: 2.0ms (9.6% of total)
ival-sub: 1.0ms (4.8% of total)
ival-div: 1.0ms (4.8% of total)
ival-sqrt: 1.0ms (4.8% of total)
ival-atan: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch84.0ms (0.8%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
54.0ms
1.7399366205495994e-161
2.467999294655955e-134
24.0ms
-2.3140321956581614e-119
-4.483746742554859e-126
Results
38.0ms320×0valid
9.0ms99×0invalid
Compiler

Compiled 340 to 275 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
...c/correct-round.rkt:119:19: 12.0ms (37.5% of total)
ival-mult: 9.0ms (28.1% of total)
ival-div: 3.0ms (9.4% of total)
ival-sqrt: 3.0ms (9.4% of total)
ival-sub: 2.0ms (6.3% of total)
ival-atan: 2.0ms (6.3% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
-1.1222307143647709e-305
4.439552029182541e-306
Results
22.0ms144×0valid
6.0ms64×0invalid
Compiler

Compiled 110 to 105 computations (4.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-sub: 9.0ms (44% of total)
ival-mult: 5.0ms (24.5% of total)
...c/correct-round.rkt:119:19: 3.0ms (14.7% of total)
ival-sqrt: 2.0ms (9.8% of total)
ival-div: 1.0ms (4.9% of total)
ival-atan: 1.0ms (4.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072184
186184
289184
391184
492184
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 45999999999999997912313441894818644450719632530963951746372507341656010690543128412160 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 -4380442163509679/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))) (if (<=.f64 v #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -219581142044921/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -7164169036369709/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1594121728244619/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 45999999999999997912313441894818644450719632530963951746372507341656010690543128412160 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 -4380442163509679/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))) (if (<=.f64 v #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal -5/98 binary64) H)))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v)))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v)) (/.f64 #s(literal 1 binary64) v))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -49/5 binary64) (/.f64 v (/.f64 H v)))))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -8520334198156009/270486799941460606132397969877256502537649830930494219329515883021657038109043128050901635014480480202073290236547649883587761950465374995072275956973025063377093982207490603094390537050330337819148407249004128462923790485888799610285259212168722675962643753419641855148032 binary64)) (atan.f64 (/.f64 v (-.f64 (*.f64 (/.f64 H v) #s(literal 49/5 binary64)) v))) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -219581142044921/9343878384890255807777119448474196633381331982845050737826186276657715542443371287564109437577976626746659450006721346172290467269376897020421450382791094657540085093089822617769726345721044533248 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 (/.f64 v (+.f64 v (*.f64 #s(literal -49/5 binary64) (/.f64 H v))))))
(if (<=.f64 v #s(literal -7164169036369709/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (atan.f64 #s(literal -1 binary64)) (if (<=.f64 v #s(literal 1594121728244619/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (atan.f64 (*.f64 v (*.f64 v (/.f64 #s(literal 5/49 binary64) H)))) (atan.f64 #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (atan.f64 #s(literal -1 binary64)) (atan.f64 #s(literal 1 binary64)))
(atan.f64 #s(literal -1 binary64))

soundness1.9s (17.8%)

Rules
6530×*-lowering-*.f32
6530×*-lowering-*.f64
5958×*-lowering-*.f32
5958×*-lowering-*.f64
5674×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036195
1154166
2868157
36401155
08550155
01210
12210
2339
3499
4729
51189
62149
73749
85429
98189
1010579
1113209
1214259
1314729
1415199
1515439
015439
03231685
110041540
236611524
081631524
06986616
122455813
277255809
081035809
04985231
115314768
250124747
083654747
07057853
123117096
279167095
080907095
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 628 to 394 computations (37.3% saved)

preprocess67.0ms (0.6%)

Compiler

Compiled 402 to 166 computations (58.7% saved)

end0.0ms (0%)

Profiling

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