Optimal throwing angle

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze59.0ms (0.9%)

Memory
22.7MiB live, 60.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.2s (18.1%)

Memory
23.2MiB live, 1 713.7MiB allocated
Samples
849.0ms8 256×0valid
9.0ms126×0invalid
Precisions
Click to see histograms. Total time spent on operations: 621.0ms
ival-mult: 221.0ms (35.6% of total)
const: 118.0ms (19% of total)
ival-atan: 102.0ms (16.4% of total)
ival-sqrt: 68.0ms (11% of total)
ival-div: 54.0ms (8.7% of total)
ival-sub: 42.0ms (6.8% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain163.0ms (2.4%)

Memory
-2.7MiB live, 162.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
750-0-(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
10-0-(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
00-0-(*.f64 v v)
00-0-(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
00-0-(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
00-0-H
00-0-#s(literal 49/5 binary64)
00-0-(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))oflow-rescue750
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow75
(*.f64 v v)overflow75
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)overflow1
-.f64(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))nan-rescue10
(*.f64 v v)overflow75
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)overflow1
Confusion
Predicted +Predicted -
+751
-0180
Precision
1.0
Recall
0.9868421052631579
Confusion?
Predicted +Predicted MaybePredicted -
+7501
-00180
Precision?
1.0
Recall?
0.9868421052631579
Freqs
test
numberfreq
0181
174
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
55.0ms500×0valid
10.0ms12×5exit
Compiler

Compiled 137 to 37 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 13.0ms (27.6% of total)
ival-sqrt: 13.0ms (27.6% of total)
const: 8.0ms (17% of total)
ival-atan: 5.0ms (10.6% of total)
ival-div: 4.0ms (8.5% of total)
ival-sub: 2.0ms (4.2% of total)
adjust: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess53.0ms (0.8%)

Memory
-2.9MiB live, 66.0MiB allocated
Algorithm
egg-herbie
Rules
224×lower-fma.f64
224×lower-fma.f32
168×lower-*.f32
164×lower-*.f64
138×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02861
16359
211859
322359
439159
563959
686659
7100959
8115459
9118859
10120459
01111
01911
12611
23611
34511
46111
58211
612611
717311
822911
928611
1037511
1141511
1250411
1352611
1453411
053410
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify26.0ms (0.4%)

Memory
-14.2MiB live, 39.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
cost-diff128
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
cost-diff320
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
Rules
224×lower-fma.f64
224×lower-fma.f32
168×lower-*.f32
164×lower-*.f64
72×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01947
12647
23647
34547
46147
58247
612647
717347
822947
928647
1037547
1141547
1250447
1352647
1453447
053443
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 98/5 binary64)
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H

localize37.0ms (0.5%)

Memory
0.4MiB live, 76.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy0.20703125000000003
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
accuracy0.45703125
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy17.581610221940355
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
Samples
24.0ms250×0valid
3.0ms5exit
Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
const: 5.0ms (26.9% of total)
ival-mult: 5.0ms (26.9% of total)
ival-div: 2.0ms (10.7% of total)
ival-atan: 2.0ms (10.7% of total)
ival-sqrt: 2.0ms (10.7% of total)
adjust: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
1.2MiB live, 37.9MiB allocated
Counts
6 → 108
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) (patch (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())
Outputs
#s(alt (* -98/5 H) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (- (pow v 2) (* 98/5 H)) (taylor 0 v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 v) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt H) (sqrt -98/5)) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 v) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt H) (sqrt -98/5)) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) (patch (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf H) (#s(alt (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) (patch (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor -inf H) (#s(alt (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) (patch (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
5.0ms
H
@-inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms
v
@0
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
3.0ms
H
@inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
2.0ms
v
@inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))
1.0ms
v
@-inf
((* 2 49/5) (- (* v v) (* (* 2 49/5) H)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (* (* 2 49/5) H))

simplify211.0ms (3.1%)

Memory
44.9MiB live, 228.1MiB allocated
Algorithm
egg-herbie
Rules
10 028×lower-fma.f64
10 028×lower-fma.f32
6 464×lower-*.f64
6 464×lower-*.f32
3 108×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231843
19331797
231561774
372331741
082501626
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (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 (- (pow v 2) (* 98/5 H))))))
(* (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))))))))))
(* (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)))))))))
(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)))))
(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))))))
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))))))
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)))))))
(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)))))
(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))))))
-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 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))))))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -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))))))
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))))))
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)))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(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))))))
(* (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 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))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* -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 (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 -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 (* (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)
(* 98/5 H)
(* 98/5 H)
Outputs
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(- (pow v 2) (* 98/5 H))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(- (pow v 2) (* 98/5 H))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(- (pow v 2) (* 98/5 H))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
(+ (* (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)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (*.f64 (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (*.f64 v v))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 v v)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))))) (*.f64 v v) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -1/2 binary64) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 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))))))
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -7203/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -49/5 binary64) (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 #s(literal -941192/125 binary64) (*.f64 H H)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2401/50 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) v (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal -117649/250 binary64) (*.f64 H H)) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) v)
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 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)
(fma.f64 (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) H (fma.f64 (fma.f64 #s(literal -7203/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 #s(literal -49/5 binary64) (*.f64 #s(literal -7203/25 binary64) (*.f64 H H)) (*.f64 #s(literal -941192/125 binary64) (*.f64 H H)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal -49/5 binary64) v) H) #s(literal 1 binary64) v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64))) v)
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(*.f64 (fma.f64 #s(literal 117649/250 binary64) (*.f64 (*.f64 H H) (/.f64 H (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal -1 binary64)))) v)
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/50 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) H (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) H #s(literal 1 binary64))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v)) H (/.f64 #s(literal -49/5 binary64) v)) H v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 H (pow.f64 v #s(literal 5 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) v))) H (/.f64 #s(literal -49/5 binary64) v)) H 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 H #s(literal -98/5 binary64))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(+ (* -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)))))
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v))
(+ (* -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))))))
(fma.f64 (/.f64 (*.f64 #s(literal -125/1882384 binary64) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) #s(literal -1/2 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) v) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) H)
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H)
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(*.f64 (fma.f64 #s(literal 5/784 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -98/5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) 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 H #s(literal -98/5 binary64))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal -125/1882384 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 H)))) (*.f64 (*.f64 H H) H))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))) H)
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(*.f64 (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))))) H)
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))) 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)

rewrite228.0ms (3.4%)

Memory
-29.0MiB live, 326.3MiB allocated
Rules
7 948×lower-fma.f64
7 948×lower-fma.f32
4 050×lower-*.f32
4 046×lower-*.f64
3 070×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
01940
15040
227540
3226040
0897836
Stop Event
iter limit
node limit
iter limit
Counts
6 → 333
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Outputs
#s(literal 98/5 binary64)
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
(*.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 #s(literal -833747762130149888/1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)) (*.f64 (*.f64 H H) H))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v))))
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) v (*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
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(/.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) v (*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)))) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 #s(literal -833747762130149888/1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)) (*.f64 (*.f64 H H) H)))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 #s(literal -833747762130149888/1953125 binary64) (*.f64 (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H)) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 v v) v) v)) v (*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 (*.f64 (*.f64 v v) v) v)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) (*.f64 v v) (*.f64 #s(literal -885842380864/15625 binary64) (*.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 v v)) v (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) v) v (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H)))
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64))))
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64)))
(*.f64 #s(literal 98/5 binary64) H)
(pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 H #s(literal 98/5 binary64))))

eval71.0ms (1.1%)

Memory
27.1MiB live, 173.4MiB allocated
Compiler

Compiled 18 877 to 1 991 computations (89.5% saved)

prune74.0ms (1.1%)

Memory
22.4MiB live, 176.3MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New42712439
Fresh000
Picked101
Done000
Total42812440
Accuracy
100.0%
Counts
440 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v)))
68.0%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
71.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
43.6%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
40.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.0%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
70.8%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
32.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
36.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
32.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
35.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
71.1%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
Compiler

Compiled 338 to 208 computations (38.5% saved)

simplify70.0ms (1%)

Memory
-0.1MiB live, 36.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
cost-diff0
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
cost-diff0
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
cost-diff0
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
cost-diff0
(/.f64 H (*.f64 v v))
cost-diff0
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
Rules
856×lower-fma.f32
852×lower-fma.f64
704×lower-*.f32
696×lower-*.f64
368×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039258
059249
178249
294249
3109249
4127249
5150249
6198249
7277249
8546249
9994249
101493249
111891249
122026249
132097249
142153249
152180249
162184249
02184249
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
#s(literal 1 binary64)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
v
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
#s(literal -49/5 binary64)
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -1 binary64)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
H
#s(literal -98/5 binary64)
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
v
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H

localize159.0ms (2.4%)

Memory
-10.3MiB live, 160.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
accuracy0.24999724760556022
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
accuracy0.45703125
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.581610221940355
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
accuracy0.078125
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
accuracy0.45703125
(*.f64 H #s(literal -98/5 binary64))
accuracy17.581610221940355
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
accuracy39.99481686057631
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
accuracy0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
accuracy0.07421875
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
accuracy6.953595744080091
(/.f64 H (*.f64 v v))
accuracy40.240701099780175
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
accuracy0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy40.115373042901545
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy0.24999724760556022
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
accuracy0.45703125
(*.f64 H #s(literal -98/5 binary64))
accuracy0.5557873690700832
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
accuracy17.057368601657497
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
Samples
85.0ms250×0valid
6.0ms5exit
Compiler

Compiled 237 to 31 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
const: 15.0ms (26.3% of total)
ival-div: 11.0ms (19.3% of total)
ival-mult: 11.0ms (19.3% of total)
ival-atan: 7.0ms (12.3% of total)
ival-sqrt: 7.0ms (12.3% of total)
ival-add: 3.0ms (5.3% of total)
adjust: 1.0ms (1.8% of total)
ival-sub: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory
-17.0MiB live, 63.7MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) (patch (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())
Outputs
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) #<representation binary64>) () ())) ())
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#s(alt (/ H (pow v 2)) (taylor -inf H) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor -inf H) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor -inf H) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) (patch (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (patch (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify231.0ms (3.4%)

Memory
15.6MiB live, 243.2MiB allocated
Algorithm
egg-herbie
Rules
13 360×lower-fma.f64
13 360×lower-fma.f32
6 828×lower-*.f64
6 828×lower-*.f32
4 278×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04808741
113978474
245258409
087437855
Stop Event
iter limit
node limit
Counts
504 → 500
Calls
Call 1
Inputs
(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))))))))))
(* (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)))))))))
(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))))))
(* (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))))))))))
(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))))))
(* (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))))))))))
(* -49/5 (/ H (pow v 2)))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ 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))))))
(* (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))))))))))
(* (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)))))))))
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (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))))))))))
(* (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)))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -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))))))
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 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)
(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))))))
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))))))
(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))))))
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)
(- (* -49/5 (/ H (pow v 2))) 1)
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ 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))))))
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))))))
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)))))))
(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)))))
(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))))))
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))))))
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)))))))
(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)))))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(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)))))
(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))))))
-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 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))
(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))))))
-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)
(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))))))
-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
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
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(/ H (pow v 2))
(/ 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))))))
(* (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 (* (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)
(* -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 (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 -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 (* (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)
(* -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)))))
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -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)
Outputs
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* (sqrt (/ 1 H)) (sqrt -5/98))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))
(fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* (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)))))))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 v v) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* -49/5 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
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1
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(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
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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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(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
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(* H (- (/ (pow v 2) H) 98/5))
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(* H (- (/ (pow v 2) H) 98/5))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 #s(literal -98/5 binary64)) (sqrt.f64 H))
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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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(* -98/5 H)
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(* H (- (/ (pow v 2) H) 98/5))
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(* H (- (/ (pow v 2) H) 98/5))
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(/ -5/98 H)
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(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
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(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
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(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
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(* -98/5 H)
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(* -98/5 H)
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(* -98/5 H)
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(* -98/5 H)
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(* -98/5 H)
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(* H (- (/ (pow v 2) H) 98/5))
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(* H (- (/ (pow v 2) H) 98/5))
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(* -98/5 H)
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(* -98/5 H)
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(* -98/5 H)
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(* -98/5 H)
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (neg.f64 H) H) H))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H) #s(literal -5/98 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)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #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)

rewrite141.0ms (2.1%)

Memory
9.1MiB live, 205.4MiB allocated
Rules
6 646×lower-fma.f32
6 642×lower-fma.f64
4 212×lower-*.f32
4 204×lower-*.f64
2 568×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039237
059222
1170221
2811221
08471221
Stop Event
iter limit
node limit
iter limit
Counts
22 → 691
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(*.f64 H #s(literal -98/5 binary64))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 (*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) v))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v))
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (pow.f64 (/.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (*.f64 (neg.f64 v) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 v)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 (/.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 v) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v))
(/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))))) (sqrt.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)))) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))
(/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) v) v))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) (neg.f64 (neg.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(neg.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) v)) v (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v)) (*.f64 (*.f64 v v) v) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v))) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (*.f64 (*.f64 v v) v)) v (*.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (*.f64 (*.f64 (*.f64 v v) v) v)))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 (*.f64 (*.f64 v v) v) (/.f64 (*.f64 (*.f64 v v) v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (/.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (neg.f64 H) #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 (neg.f64 H) #s(literal 98/5 binary64) (*.f64 v v))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (neg.f64 v) (neg.f64 v) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 (*.f64 v v) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) v) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(fma.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) (neg.f64 H) (*.f64 v v))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64) (*.f64 v v))
(fma.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 1 binary64) (*.f64 v v))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))
(fma.f64 #s(literal 98/5 binary64) (/.f64 H #s(literal 1 binary64)) (*.f64 v v))
(fma.f64 #s(literal 98/5 binary64) (neg.f64 H) (*.f64 v v))
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 v (/.f64 (*.f64 (*.f64 v v) v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(fma.f64 v (/.f64 v #s(literal 1 binary64)) (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 v (/.f64 v #s(literal 1 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))) (/.f64 (*.f64 (*.f64 (*.f64 v v) v) v) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))
(-.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(-.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(+.f64 (-.f64 (*.f64 v v) #s(literal 0 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 v v) v) (/.f64 v (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v)) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))) (neg.f64 (*.f64 #s(literal 941192/125 binary64) (/.f64 (*.f64 (*.f64 H H) H) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 (*.f64 #s(literal 9604/25 binary64) H) H))))))
(+.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))
(+.f64 (*.f64 v v) (*.f64 H #s(literal 98/5 binary64)))
(+.f64 (*.f64 #s(literal -98/5 binary64) H) (*.f64 v v))
(+.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (*.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H))

eval213.0ms (3.1%)

Memory
-7.4MiB live, 322.4MiB allocated
Compiler

Compiled 32 624 to 3 145 computations (90.4% saved)

prune189.0ms (2.8%)

Memory
-7.1MiB live, 374.6MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 20771 214
Fresh527
Picked145
Done000
Total1 213131 226
Accuracy
100.0%
Counts
1 226 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
71.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
29.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))
40.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.0%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.9%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
40.2%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
32.3%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
36.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
20.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
32.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
35.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
40.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Compiler

Compiled 263 to 179 computations (31.9% saved)

simplify106.0ms (1.6%)

Memory
1.5MiB live, 77.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
cost-diff1408
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
cost-diff0
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
cost-diff0
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
cost-diff0
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
cost-diff0
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Rules
824×lower-fma.f32
822×lower-fma.f64
688×lower-*.f32
682×lower-*.f64
424×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041344
059340
181332
2103332
3164332
4207332
5313332
6426332
7517332
8880332
92026332
102747332
112800332
122823332
132846332
142856332
152857332
02857311
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(/.f64 H v)
H
#s(literal -49/5 binary64)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(/.f64 #s(literal 1 binary64) v)
v
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal -5/98 binary64)
H
v
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
v
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(/.f64 H v)
H
#s(literal -49/5 binary64)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
(/.f64 #s(literal 1 binary64) v)
v

localize107.0ms (1.6%)

Memory
-24.5MiB live, 170.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
accuracy0.45703125
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.581610221940355
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy39.99481686057631
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0.171875
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
accuracy0.45703125
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.581610221940355
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy39.99481686057631
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
accuracy0.078125
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
accuracy0.13671875
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
accuracy42.3921557663708
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
accuracy0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
accuracy42.179906911288526
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
accuracy0.109375
(/.f64 #s(literal -5/98 binary64) H)
accuracy0.171875
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
accuracy17.057368601657497
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy39.69953925730749
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
Samples
77.0ms250×0valid
6.0ms5exit
Compiler

Compiled 280 to 34 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
const: 15.0ms (24.1% of total)
ival-mult: 14.0ms (22.5% of total)
ival-div: 13.0ms (20.9% of total)
ival-atan: 11.0ms (17.7% of total)
ival-sqrt: 3.0ms (4.8% of total)
ival-add: 2.0ms (3.2% of total)
adjust: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
29.5MiB live, 29.5MiB allocated
Counts
20 → 456
Calls
Call 1
Inputs
#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) (patch (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))) #<representation binary64>) () ())
#s(alt (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) (patch (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) (patch #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) (patch (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())
Outputs
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)) #<representation binary64>) () ())) ())
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#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor -inf H) (#s(alt (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) (patch (atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
1.0ms
H
@inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
1.0ms
H
@-inf
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
1.0ms
v
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
1.0ms
H
@0
((atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (+ (* (/ H v) -49/5) v) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))

simplify244.0ms (3.6%)

Memory
2.4MiB live, 309.5MiB allocated
Algorithm
egg-herbie
Rules
13 642×lower-fma.f64
13 642×lower-fma.f32
6 936×lower-*.f64
6 936×lower-*.f32
4 328×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04838942
114088636
245728564
088528009
Stop Event
iter limit
node limit
Counts
456 → 449
Calls
Call 1
Inputs
(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))))))))))
(* (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)))))))))
(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))))))
(* (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))))))))))
(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))))))
(* (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))))))))))
(* (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)))))))))
(* -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)
(* (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))))))))))
(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))))))
(* (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)))))))
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(* (sqrt H) (sqrt -98/5))
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(+ (* -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)))))
(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))))))
(* (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))))))
(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))))))
(* (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 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))))))
(* -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))))
(* (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))))))
(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))))))
(* (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 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))))))
(* (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))))))
(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))))))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* -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)
(* -98/5 H)
(* -98/5 H)
(* -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))))))
(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 -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 -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)))))
(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 -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))))))
(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 -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 (* (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))))))))
(* -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)))))
(* (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))))))
(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)) (* (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)))))
(* -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 (/ 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))))))
(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))))))
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* -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)
Outputs
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
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(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) #s(literal -25/19208 binary64)) (*.f64 (*.f64 v v) v))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) (*.f64 v v)) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (neg.f64 H) H) H))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (*.f64 v (/.f64 v H)) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H) #s(literal -5/98 binary64)) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #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)

rewrite173.0ms (2.6%)

Memory
-0.1MiB live, 241.3MiB allocated
Rules
7 318×lower-fma.f32
7 316×lower-fma.f64
4 622×lower-*.f32
4 616×lower-*.f64
2 898×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041283
059279
1172270
2931270
09021252
Stop Event
iter limit
node limit
iter limit
Counts
20 → 340
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal -1 binary64)) (neg.f64 v))
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1 binary64)) v)
(*.f64 (*.f64 v (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) v))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 v (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (neg.f64 v)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 v) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64)) (neg.f64 v))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64)) v)
(*.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) v)
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(*.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(*.f64 v (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) (neg.f64 v)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) v))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 (neg.f64 v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 v) (*.f64 (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64)))
(/.f64 (neg.f64 v) (*.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) #s(literal -1 binary64)))
(/.f64 (neg.f64 v) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))))
(/.f64 (neg.f64 v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) (neg.f64 v)))
(/.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) v) (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) v) #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v))
(/.f64 v (*.f64 (neg.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v))) #s(literal -1 binary64)))
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)) v)))
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(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64))) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (/.f64 (neg.f64 v) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 v (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) v)))
(*.f64 (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (pow.f64 v #s(literal -1/2 binary64))))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1/4 binary64)) v))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (neg.f64 v))
(*.f64 (neg.f64 v) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal -1 binary64) v))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v)))
(/.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (*.f64 (/.f64 #s(literal -1 binary64) v) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(neg.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) v)) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64)))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) H) #s(literal 5/98 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 5/98 binary64) H))
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal 1 binary64) H))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1 binary64))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -98/5 binary64) H)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 5/98 binary64) H)))
(neg.f64 (/.f64 #s(literal 5/98 binary64) H))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 5/98 binary64) H))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(/.f64 H #s(literal -5/98 binary64))
(neg.f64 (*.f64 H #s(literal 98/5 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H))

eval109.0ms (1.6%)

Memory
9.9MiB live, 239.1MiB allocated
Compiler

Compiled 19 437 to 1 918 computations (90.1% saved)

prune118.0ms (1.7%)

Memory
-31.4MiB live, 231.0MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New9333936
Fresh134
Picked235
Done044
Total93613949
Accuracy
100.0%
Counts
949 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
29.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))
40.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.0%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.9%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
40.2%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
32.3%
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
36.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
20.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
32.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
35.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
40.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
40.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
Compiler

Compiled 233 to 159 computations (31.8% saved)

simplify133.0ms (2%)

Memory
11.1MiB live, 127.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))
cost-diff0
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)
cost-diff0
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
cost-diff0
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
cost-diff448
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
cost-diff0
(/.f64 H (*.f64 v v))
cost-diff0
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
cost-diff0
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
cost-diff0
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
Rules
4 080×lower-fma.f32
4 076×lower-fma.f64
3 714×lower-*.f32
3 702×lower-*.f64
1 332×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057447
084435
1124423
2176419
3300411
4428411
5678411
61602411
73848411
86676411
08079384
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
H
#s(literal -5/98 binary64)
v
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H))
(neg.f64 v)
v
(*.f64 #s(literal -49/5 binary64) H)
#s(literal -49/5 binary64)
H
(*.f64 v v)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))
(/.f64 H #s(literal -5/98 binary64))
H
#s(literal -5/98 binary64)
v
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
Outputs
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
H
#s(literal -5/98 binary64)
v
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))))
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) H #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal 49/5 binary64)
#s(literal 1 binary64)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H))
(neg.f64 v)
v
(*.f64 #s(literal -49/5 binary64) H)
#s(literal -49/5 binary64)
H
(*.f64 v v)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))
(/.f64 H #s(literal -5/98 binary64))
H
#s(literal -5/98 binary64)
v
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v

localize164.0ms (2.4%)

Memory
14.2MiB live, 246.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2501330693295596
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
accuracy0.45703125
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.581610221940355
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy39.99481686057631
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0.12890625
(/.f64 H #s(literal -5/98 binary64))
accuracy0.171875
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)
accuracy17.581610221940355
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))
accuracy39.99481686057631
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))
accuracy0
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
accuracy0.45703125
(*.f64 #s(literal -49/5 binary64) H)
accuracy20.42065207989481
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
accuracy40.240701099780175
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))
accuracy0
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
accuracy0.07421875
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
accuracy6.953595744080091
(/.f64 H (*.f64 v v))
accuracy42.50424148098523
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
accuracy0.171875
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
accuracy0.2734375
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
accuracy17.057368601657497
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
accuracy39.69953925730749
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
Samples
101.0ms250×0valid
10.0ms5exit
Compiler

Compiled 324 to 47 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 19.0ms (22.2% of total)
ival-div: 18.0ms (21% of total)
const: 14.0ms (16.4% of total)
ival-atan: 10.0ms (11.7% of total)
ival-sub: 9.0ms (10.5% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-add: 4.0ms (4.7% of total)
ival-neg: 4.0ms (4.7% of total)
adjust: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series74.0ms (1.1%)

Memory
-21.7MiB live, 58.6MiB allocated
Counts
27 → 600
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) (patch #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) (patch (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) (patch (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) #<representation binary64>) () ())
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#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) (patch (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())
Outputs
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) (patch #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 v) (#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))))) (taylor 0 v) (#s(alt #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 49/5 (/ H (pow v 2))) (taylor 0 v) (#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ H (pow v 2)) (taylor 0 v) (#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -49/5 (/ H (pow v 2))) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2)) (taylor 0 v) (#s(alt (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) (patch (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)) #<representation binary64>) () ())) ())
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#s(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)))))) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H)) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -98/5 binary64) H) (patch (*.f64 #s(literal -98/5 binary64) H) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
26.0ms
H
@0
((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
3.0ms
H
@-inf
((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
3.0ms
H
@inf
((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms
v
@0
((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms
v
@-inf
((* (/ 1 H) -5/98) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (atan (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v))) (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (+ (* (/ H (* v v)) 49/5) 1) (/ H (* v v)) (/ (+ (* (neg v) v) (* -49/5 H)) (* v v)) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (+ (* -49/5 (/ H (* v v))) -1) (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v) (atan (* (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) v)) (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v)) (atan (/ 1 (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v))) (/ (sqrt (- (* v v) (* (* 2 49/5) H))) v) (sqrt (- (* v v) (* (* 2 49/5) H))) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (* -49/5 H) (- (* v v) (* (* 2 49/5) H)) (/ H -5/98) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))

simplify353.0ms (5.2%)

Memory
-2.4MiB live, 243.9MiB allocated
Algorithm
egg-herbie
Rules
12 414×lower-fma.f64
12 414×lower-fma.f32
7 316×lower-*.f64
7 316×lower-*.f32
3 968×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054910326
1161610008
252789968
083819321
Stop Event
iter limit
node limit
Counts
600 → 596
Calls
Call 1
Inputs
(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))))))))))
(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))))))
(* (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))))))))))
(* 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))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(* -49/5 (/ H (pow v 2)))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (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))))))
(* (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))))))))))
(* -49/5 (/ H (pow v 2)))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (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))))))))))
(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))))))
(* (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)))))))))
(* (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)))))))))
(* (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))))))))))
(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))))))
(* (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)
(* (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)))))))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(* (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)))))))))
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(* -98/5 H)
(- (pow v 2) (* 98/5 H))
(- (pow v 2) (* 98/5 H))
(- (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 (- (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))))))
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))))))
(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))))))
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
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* 49/5 (/ H (pow v 2))))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(- (* -49/5 (/ H (pow v 2))) 1)
(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))))))
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)
(- (* -49/5 (/ H (pow v 2))) 1)
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))))))
(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))))))
(/ 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)
v
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(* (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))))))
(* (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))))))
(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))))))
(* (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))))))
(* (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))))))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(* (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)))))
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -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)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -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)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 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))))))
(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 -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))))))
(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 -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))))))
(* 49/5 (/ H (pow v 2)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(* H (+ (* 49/5 (/ 1 (pow v 2))) (/ 1 H)))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(/ H (pow v 2))
(* -49/5 (/ H (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 (+ (/ 1 H) (* 49/5 (/ 1 (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))))))
(* (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))))))
(* -49/5 (/ H (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 (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* (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))))))
(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)) (* (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)))))
(* -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 (/ 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))))))
(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))))))
(* -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)))))))
(* -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))))))))
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* (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)))))
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -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)
(* -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)
Outputs
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 (fma.f64 (*.f64 (*.f64 v (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H)))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (fma.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 H H) H)) (/.f64 #s(literal -125/3764768 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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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(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) 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)))))))
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 v v) v)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 v (sqrt.f64 #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 H)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(*.f64 (neg.f64 H) (fma.f64 #s(literal -5/784 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (-.f64 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (*.f64 (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H) #s(literal -5/98 binary64)) H)
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 H H) H))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (neg.f64 H) H) H))))
(* -49/5 H)
(*.f64 #s(literal -49/5 binary64) H)
(* -49/5 H)
(*.f64 #s(literal -49/5 binary64) H)
(* -49/5 H)
(*.f64 #s(literal -49/5 binary64) H)
(* -49/5 H)
(*.f64 #s(literal -49/5 binary64) H)
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #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)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (fma.f64 v (/.f64 v H) #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)

rewrite263.0ms (3.9%)

Memory
24.4MiB live, 283.9MiB allocated
Rules
12 088×lower-fma.f32
12 084×lower-fma.f64
3 844×lower-*.f32
3 832×lower-*.f64
3 638×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057410
084398
1265381
21542381
08522358
Stop Event
iter limit
node limit
iter limit
Counts
27 → 422
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))
(/.f64 H (*.f64 v v))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))))
#s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
(*.f64 #s(literal -49/5 binary64) H)
#s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64)))
(/.f64 H #s(literal -5/98 binary64))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
Outputs
(*.f64 #s(literal 5/98 binary64) (/.f64 #s(literal -1 binary64) H))
(*.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal -5/98 binary64) (/.f64 #s(literal 1 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H))
(/.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal 1 binary64))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) (/.f64 #s(literal 1 binary64) v))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v))))))
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -49/5 binary64) H) (*.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)))) (*.f64 #s(literal 49/5 binary64) H)) (*.f64 v v)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 H H) H) (*.f64 (*.f64 (*.f64 v v) v) (*.f64 (*.f64 v v) v))) #s(literal 117649/125 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))) (/.f64 (*.f64 (*.f64 H H) #s(literal 2401/25 binary64)) (*.f64 (*.f64 (*.f64 v v) v) v)))))
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(*.f64 (/.f64 #s(literal 1 binary64) v) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v))
(pow.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64))) v)
(/.f64 (*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (neg.f64 v))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (neg.f64 v))
(/.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v)) #s(literal -1 binary64))
(/.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))))
(/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 v) (*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(neg.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 v)) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) (neg.f64 v)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64) (*.f64 (log.f64 v) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 v) #s(literal -1 binary64) (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))
(pow.f64 (exp.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) #s(literal 1/2 binary64)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -49/5 binary64) H)
(*.f64 H #s(literal -49/5 binary64))
(/.f64 #s(literal -49/5 binary64) (/.f64 #s(literal 1 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H))
(/.f64 #s(literal 98/5 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) H)))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(neg.f64 (*.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 98/5 binary64) H))
(*.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) (neg.f64 H))
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -98/5 binary64) H))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))
(/.f64 (*.f64 #s(literal -941192/125 binary64) (*.f64 (*.f64 H H) H)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H)))))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 #s(literal -98/5 binary64) (/.f64 #s(literal 1 binary64) H))
(/.f64 #s(literal 98/5 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) H)))
(/.f64 H #s(literal -5/98 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -98/5 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -5/98 binary64) H))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(neg.f64 (*.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -5/98 binary64) H)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H))

eval194.0ms (2.9%)

Memory
16.6MiB live, 204.5MiB allocated
Compiler

Compiled 19 635 to 1 919 computations (90.2% saved)

prune505.0ms (7.5%)

Memory
-116.6MiB live, 207.5MiB allocated
Pruning

13 alts after pruning (1 fresh and 12 done)

PrunedKeptTotal
New1 01801 018
Fresh011
Picked055
Done077
Total1 018131 031
Accuracy
100.0%
Counts
1 031 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
29.3%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))
40.2%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.0%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
39.9%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) v)))
40.2%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
32.3%
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
36.1%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
20.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
32.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
35.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
40.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
40.2%
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
Compiler

Compiled 422 to 211 computations (50% saved)

regimes76.0ms (1.1%)

Memory
11.3MiB live, 49.2MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 H #s(literal -5/98 binary64))))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))) 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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) v)))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (/.f64 (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (+.f64 #s(literal 0 binary64) (*.f64 H #s(literal 98/5 binary64))))))))
(atan.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (/.f64 #s(literal 1 binary64) v)))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (*.f64 (*.f64 (*.f64 v v) v) v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

47.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
7.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
7.0ms
H
7.0ms
v
6.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
99.9%3v
75.4%3H
84.5%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
84.5%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
75.4%3(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes14.0ms (0.2%)

Memory
-24.4MiB live, 11.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v)))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))) v))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
Calls

1 calls:

13.0ms
v
Results
AccuracySegmentsBranch
90.8%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
90.7%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
90.7%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
-7.5MiB live, 31.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (/ 1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (/ 1 v)) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

6.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
3.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
2.0ms
H
2.0ms
v
2.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
39.4%2H
39.4%2(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
52.4%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
52.4%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
66.2%2v
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes11.0ms (0.2%)

Memory
-18.3MiB live, 20.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
H
1.0ms
v
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
35.9%1H
35.9%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
35.9%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
35.9%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
35.9%1v
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch9.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
4.0ms
2.1588998056294294e+142
1.6253307644330094e+146
4.0ms
-6.858846628398234e+154
-3.1655892572827703e+149
Samples
5.0ms64×0valid
Compiler

Compiled 94 to 72 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 1.0ms (25.9% of total)
ival-atan: 1.0ms (25.9% of total)
const: 1.0ms (25.9% of total)
ival-div: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch66.0ms (1%)

Memory
3.5MiB live, 48.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.2921515788058758e-23
2.6998292102615725e-19
45.0ms
-1.69198271101961e-62
-4.50220602927373e-64
Samples
19.0ms240×0valid
3.0ms41×0invalid
Compiler

Compiled 378 to 263 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (32.7% of total)
const: 3.0ms (19.6% of total)
ival-div: 2.0ms (13.1% of total)
ival-atan: 2.0ms (13.1% of total)
ival-sqrt: 2.0ms (13.1% of total)
ival-sub: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch41.0ms (0.6%)

Memory
-19.6MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.2921515788058758e-23
2.6998292102615725e-19
1.0ms
-1.69198271101961e-62
-4.50220602927373e-64
Samples
34.0ms80×0valid
1.0ms13×0invalid
Compiler

Compiled 378 to 271 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 29.0ms (87.9% of total)
ival-div: 1.0ms (3% of total)
ival-atan: 1.0ms (3% of total)
ival-sqrt: 1.0ms (3% of total)
const: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2921515788058758e-23
2.6998292102615725e-19
1.0ms
-1.69198271101961e-62
-4.50220602927373e-64
Compiler

Compiled 393 to 271 computations (31% saved)

bsearch39.0ms (0.6%)

Memory
8.8MiB live, 44.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
-1.965574424172646e-304
2.9326832375158956e-306
Samples
11.0ms144×0valid
5.0ms75×0invalid
Compiler

Compiled 126 to 106 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (36.2% of total)
const: 3.0ms (27.2% of total)
ival-div: 1.0ms (9.1% of total)
ival-atan: 1.0ms (9.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-sqrt: 1.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074288
179288
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Outputs
(if (<=.f64 v #s(literal -50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3588915588619273/1329227995784915872903807060280344576 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -1736881338559743/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 5981525981032121/664613997892457936451903530140172288 binary64)) #s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))))
(if (<=.f64 v #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))

soundness657.0ms (9.7%)

Memory
-6.4MiB live, 554.2MiB allocated
Rules
13 360×lower-fma.f64
13 360×lower-fma.f32
10 028×lower-fma.f64
10 028×lower-fma.f32
7 948×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
01940
15040
227540
3226040
0897836
03231843
19331797
231561774
372331741
082501626
04808741
113978474
245258409
087437855
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 293 to 163 computations (44.4% saved)

preprocess50.0ms (0.7%)

Memory
25.3MiB live, 133.4MiB allocated
Compiler

Compiled 326 to 128 computations (60.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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