Optimal throwing angle

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze31.0ms (0.5%)

Memory
6.2MiB live, 44.8MiB 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 (17.3%)

Memory
21.4MiB live, 1 523.5MiB allocated
Samples
855.0ms8 256×0valid
7.0ms100×0invalid
Precisions
Click to see histograms. Total time spent on operations: 653.0ms
ival-mult: 205.0ms (31.4% of total)
const: 162.0ms (24.8% of total)
ival-atan: 87.0ms (13.3% of total)
ival-sqrt: 67.0ms (10.3% of total)
ival-div: 59.0ms (9% of total)
ival-sub: 59.0ms (9% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain178.0ms (2.7%)

Memory
27.0MiB live, 308.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
760-0-(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
00-0-(*.f64 v v)
00-0-(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
00-0-(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
00-0-v
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
00-0-(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
00-0-H
00-0-#s(literal 49/5 binary64)
00-0-(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))oflow-rescue760
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow76
(*.f64 v v)overflow76
Confusion
Predicted +Predicted -
+761
-0179
Precision
1.0
Recall
0.987012987012987
Confusion?
Predicted +Predicted MaybePredicted -
+7601
-00179
Precision?
1.0
Recall?
0.987012987012987
Freqs
test
numberfreq
0180
176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms494×0valid
9.0ms18×5exit
Compiler

Compiled 135 to 37 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 18.0ms (33.6% of total)
const: 17.0ms (31.7% of total)
ival-atan: 5.0ms (9.3% of total)
ival-div: 4.0ms (7.5% of total)
ival-sqrt: 4.0ms (7.5% of total)
ival-sub: 3.0ms (5.6% of total)
adjust: 1.0ms (1.9% 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
-17.3MiB live, 61.3MiB 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 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify21.0ms (0.3%)

Memory
-21.1MiB live, 41.9MiB 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

localize44.0ms (0.7%)

Memory
18.6MiB live, 58.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
accuracy0.0546875
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy0.44140625
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy17.762868755844774
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
Samples
32.0ms247×0valid
5.0ms5exit
Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 5.0ms (26.9% of total)
const: 4.0ms (21.5% of total)
ival-atan: 3.0ms (16.2% of total)
ival-div: 2.0ms (10.8% of total)
ival-sqrt: 2.0ms (10.8% 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)

series28.0ms (0.4%)

Memory
-4.3MiB live, 34.9MiB 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
12.0ms
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))
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))
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))

simplify156.0ms (2.3%)

Memory
8.2MiB live, 198.5MiB 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) (pow.f64 H #s(literal 3 binary64)))) (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))))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(* 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 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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))
(+ (* 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) (pow.f64 H #s(literal 3 binary64))))) (*.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 (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal 5/784 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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)))))) (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))))
(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 #s(literal -1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 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 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #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) H) (/.f64 H (pow.f64 v #s(literal 4 binary64)))) 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 (pow.f64 H #s(literal 3 binary64)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -2401/50 binary64) H) (/.f64 H (pow.f64 v #s(literal 4 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 #s(literal 1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 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 (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 H #s(literal 3 binary64)) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64) (*.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #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 (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #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 (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 2401/50 binary64) (*.f64 (/.f64 H (pow.f64 v #s(literal 4 binary64))) H) (fma.f64 (/.f64 #s(literal 49/5 binary64) v) (/.f64 H v) #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) (pow.f64 v #s(literal 4 binary64))) 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) (pow.f64 v #s(literal 4 binary64)))) 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) (pow.f64 v #s(literal 3 binary64))) 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) (pow.f64 v #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64)))) (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) (pow.f64 H #s(literal 3 binary64)))) (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 (fma.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/3764768 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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) (pow.f64 H #s(literal 3 binary64)))) (*.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 (pow.f64 v #s(literal 4 binary64)) (/.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) (pow.f64 H #s(literal 3 binary64)))) (*.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 (pow.f64 v #s(literal 4 binary64)) (/.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) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.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) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.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 (pow.f64 v #s(literal 4 binary64)) 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)))) (pow.f64 H #s(literal 3 binary64)))))
(* -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) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) (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) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) (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) (pow.f64 H #s(literal 3 binary64)))) (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)

rewrite177.0ms (2.6%)

Memory
18.1MiB live, 174.0MiB 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) (pow.f64 v #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))))
(*.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (-.f64 (pow.f64 v #s(literal 18 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (-.f64 (pow.f64 v #s(literal 12 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (-.f64 (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 2 binary64))))) (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 941192/125 binary64) (pow.f64 (*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) #s(literal 3 binary64)) (pow.f64 v #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (-.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (pow.f64 v #s(literal 4 binary64))) (pow.f64 v #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(*.f64 (/.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (*.f64 H #s(literal 98/5 binary64)) (-.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 v #s(literal 9 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 9/2 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 v #s(literal 12 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 v #s(literal 8 binary64)) (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (pow.f64 v #s(literal 4 binary64))))))
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(/.f64 (hypot.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (*.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) (pow.f64 v #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 9604/25 binary64) H) H (-.f64 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 v v) #s(literal -98/5 binary64)) H)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))))))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
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(-.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 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) #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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 2 binary64))) #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 (log.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.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))))

eval144.0ms (2.1%)

Memory
-4.2MiB live, 147.6MiB allocated
Compiler

Compiled 12 875 to 2 033 computations (84.2% saved)

prune38.0ms (0.6%)

Memory
-63.4MiB live, 40.0MiB 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
65.9%
(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))))
35.2%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))
69.8%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))))
70.7%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.2%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 #s(literal -49/5 binary64) v) H v))))
70.7%
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 v)))
33.2%
(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))))
35.3%
(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))))
33.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
34.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
70.7%
#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 330 to 230 computations (30.3% saved)

simplify68.0ms (1%)

Memory
-5.1MiB live, 32.2MiB 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

localize174.0ms (2.6%)

Memory
7.9MiB live, 156.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
accuracy0.0546875
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
accuracy0.44140625
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.762868755844774
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
accuracy0.0546875
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))))
accuracy0.44140625
(*.f64 H #s(literal -98/5 binary64))
accuracy17.762868755844774
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))
accuracy39.46838019668049
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64)))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))))
accuracy0.11328125
(fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64))
accuracy8.014432870940125
(/.f64 H (*.f64 v v))
accuracy39.54133386010199
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 #s(literal -49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal -1 binary64)))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy39.46634033618099
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy0.17578125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
accuracy0.44140625
(*.f64 H #s(literal -98/5 binary64))
accuracy0.6677676755854682
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
accuracy17.15259506246938
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
Samples
135.0ms247×0valid
10.0ms5exit
Compiler

Compiled 237 to 31 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
const: 49.0ms (39.1% of total)
ival-atan: 41.0ms (32.7% of total)
ival-mult: 15.0ms (12% of total)
ival-div: 7.0ms (5.6% of total)
ival-sqrt: 6.0ms (4.8% of total)
ival-add: 4.0ms (3.2% of total)
adjust: 2.0ms (1.6% of total)
ival-sub: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.5%)

Memory
24.6MiB live, 61.8MiB allocated
Counts
21 → 480
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 (*.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>) () ())) ())
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#s(alt (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) (taylor -inf H) (#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 (* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2)))))) (taylor -inf H) (#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 (/ 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 (/ 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 (*.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
5.0ms
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) (* -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) (* -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) (* -98/5 H))
2.0ms
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) (* -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) (* -98/5 H))

simplify338.0ms (5.1%)

Memory
-1.0MiB live, 273.9MiB 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
04808549
113978282
245258217
087437681
Stop Event
iter limit
node limit
Counts
480 → 476
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)))
(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))
(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)
(- (* -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
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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)))))
(+ (* -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)
(* -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) (pow.f64 H #s(literal 3 binary64)))) (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))))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(* 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 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 (/ 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) (pow.f64 H #s(literal 3 binary64)))) (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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))))) (*.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 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.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) (pow.f64 H #s(literal 3 binary64)))) (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))))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(* 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 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.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) (pow.f64 H #s(literal 3 binary64)))) (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))))))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 H) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 125/941192 binary64) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) v) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))
(* 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 (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.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))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(/ (+ (* -49/5 H) (* -1 (pow v 2))) (pow v 2))
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1
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(* (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))))
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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)))
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(* (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))))
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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)
(*.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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(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H) #s(literal 5/98 binary64)) 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)
(/.f64 (fma.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 H #s(literal 3 binary64))) #s(literal -625/92236816 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 v v) H) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) (*.f64 (/.f64 #s(literal 125/941192 binary64) H) (/.f64 (pow.f64 v #s(literal 4 binary64)) H)))) H)
(* -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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(* -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))))))
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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))
(* (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)))) (+ (* -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) (pow.f64 H #s(literal 3 binary64)))) #s(literal -25/19208 binary64)) (pow.f64 v #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(* -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) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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) (pow.f64 H #s(literal 3 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 (pow.f64 v #s(literal 4 binary64)) (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) (pow.f64 H #s(literal 3 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 (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 (pow.f64 v #s(literal 4 binary64)) (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 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(* -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 (neg.f64 (fma.f64 (*.f64 #s(literal 25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) 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)
(* -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)

rewrite143.0ms (2.1%)

Memory
-26.3MiB live, 177.4MiB 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
039231
059216
1170215
2811215
08471215
Stop Event
iter limit
node limit
iter limit
Counts
21 → 560
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))
(*.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 (hypot.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) H))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 (/.f64 v (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) v)
(*.f64 #s(literal 1 binary64) (/.f64 v (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
(*.f64 v (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 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 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 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) (pow.f64 v #s(literal -1 binary64)))
(/.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 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 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))) (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 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal 1/4 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 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
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(+.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 v v) (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) v) v) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64))) (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 v v)) (*.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 H #s(literal 98/5 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 H #s(literal 98/5 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 v v)))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -9604/25 binary64) (*.f64 H H) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) v) v)))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (*.f64 H #s(literal 98/5 binary64)))))
(*.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 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (+.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))
(*.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 (pow.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 3 binary64)) (+.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))

eval172.0ms (2.6%)

Memory
25.5MiB live, 206.6MiB allocated
Compiler

Compiled 22 108 to 3 256 computations (85.3% saved)

prune40.0ms (0.6%)

Memory
-19.0MiB live, 111.6MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 05361 059
Fresh347
Picked145
Done000
Total1 057141 071
Accuracy
100.0%
Counts
1 071 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.9%
(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))))
35.2%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))
70.7%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
26.9%
(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))))))))
63.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.2%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
41.0%
(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)))) (neg.f64 v)))
33.2%
(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))))
35.3%
(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))))
18.3%
(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)))))
33.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
34.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
41.1%
#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 311 to 236 computations (24.1% saved)

simplify108.0ms (1.6%)

Memory
8.8MiB live, 159.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
cost-diff0
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
cost-diff704
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
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
(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)))
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
(/.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)))
cost-diff0
(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))))
cost-diff320
(-.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))
cost-diff1792
(*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
Rules
3 468×lower-*.f32
3 458×lower-*.f64
2 954×lower-fma.f32
2 948×lower-fma.f64
1 704×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055454
084399
1133393
2195393
3337385
4550377
51312377
63789377
76334377
87793377
08084370
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(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))))
(/.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)))
(-.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))
(*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
#s(literal 0 binary64)
(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)))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#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 (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(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 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(/.f64 v H)
H
#s(literal -98/5 binary64)
Outputs
(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))))
(atan.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.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)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) 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 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v))
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
(*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))
(neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
#s(literal -98/5 binary64)
H
(*.f64 v v)
v
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
(*.f64 (neg.f64 v) (sqrt.f64 (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))
#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 (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(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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(approx (+ (* -49/5 (/ H (* v v))) -1) (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)))) #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) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
v
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))
#s(approx (- (* v v) (* (* 2 49/5) H)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))
(/.f64 v H)
H
#s(literal -98/5 binary64)

localize219.0ms (3.3%)

Memory
20.2MiB live, 370.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
accuracy0.09765625
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
accuracy4.670817158326614
(*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
accuracy17.762868755844774
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
accuracy0.01171875
(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)))))
accuracy0.44140625
(*.f64 #s(literal -49/5 binary64) H)
accuracy21.12067788235702
(/.f64 (fma.f64 (neg.f64 v) v (*.f64 #s(literal -49/5 binary64) H)) (*.f64 v v))
accuracy39.54133386010199
#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))))
accuracy0.1484375
(/.f64 #s(literal -5/98 binary64) H)
accuracy0.17578125
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
accuracy17.15259506246938
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy39.09270874146549
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
accuracy0.01171875
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
accuracy41.813680802871694
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
accuracy0.08984375
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v)
accuracy0.19140625
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
accuracy17.762868755844774
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
accuracy21.04561051312688
(/.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)))
Samples
133.0ms247×0valid
12.0ms5exit
Compiler

Compiled 361 to 47 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-mult: 23.0ms (21.9% of total)
ival-neg: 21.0ms (20% of total)
const: 16.0ms (15.2% of total)
ival-div: 16.0ms (15.2% of total)
ival-sub: 7.0ms (6.7% of total)
ival-atan: 7.0ms (6.7% of total)
ival-sqrt: 6.0ms (5.7% of total)
ival-add: 6.0ms (5.7% of total)
adjust: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series80.0ms (1.2%)

Memory
10.8MiB live, 81.0MiB allocated
Counts
25 → 576
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())
#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (/.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))) (patch (/.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))) #<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 #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 (/.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 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) (patch (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())
#s(alt (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) (patch (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 0 (taylor 0 v) (#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 v) (#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 v) (#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 v) (#s(alt (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) (patch (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt H) (* v (sqrt -98/5))) (taylor 0 v) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* -1 (* (sqrt H) (sqrt -98/5))))) (taylor 0 v) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (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)))))) (* -1 (* (sqrt H) (sqrt -98/5))))) (taylor 0 v) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (pow v 2) (- (* (pow v 2) (- (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))))) (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))) (* -1 (* (sqrt H) (sqrt -98/5))))) (taylor 0 v) (#s(alt (-.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)) (patch (-.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)) #<representation binary64>) () ())) ())
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#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#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>) () ())) ())
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#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 #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 (+ (* -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 #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 (* -49/5 (/ H (pow v 2))) (taylor inf H) (#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>) () ())) ())
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#s(alt (* -98/5 H) (taylor inf H) (#s(alt (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) (patch (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) (patch (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) (patch (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) (patch (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) (patch (atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor inf H) (#s(alt (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) #<representation binary64>) () ())) ())
#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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt H) (sqrt -98/5)) (taylor inf H) (#s(alt (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt H) (sqrt -98/5)) (taylor inf H) (#s(alt (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* H (- (/ (pow v 2) H) 98/5)) (taylor inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt H) (* v (sqrt -98/5)))) (taylor inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))))) (taylor inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v 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 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) (patch (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))) #<representation binary64>) () ())) ())
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#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 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #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 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))) (patch (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #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 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<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 #s(literal -98/5 binary64) H (*.f64 v v))) (patch (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor -inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H))))) (taylor -inf H) (#s(alt (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) (patch (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5))))))) (taylor -inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))) (taylor -inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) #<representation binary64>) () ())) ())
#s(alt (* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3))))))))) (taylor -inf H) (#s(alt (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) v) (patch (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) 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 (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt (* -49/5 H) (taylor -inf H) (#s(alt (*.f64 #s(literal -49/5 binary64) H) (patch (*.f64 #s(literal -49/5 binary64) H) #<representation binary64>) () ())) ())
#s(alt -98/5 (taylor -inf H) (#s(alt (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) (patch (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow v 2) H) 98/5) (taylor -inf H) (#s(alt (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) (patch (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow v 2) H) 98/5) (taylor -inf H) (#s(alt (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) (patch (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (/ (pow v 2) H) 98/5) (taylor -inf H) (#s(alt (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) (patch (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
12.0ms
H
@inf
((* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ (+ (* (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) (* (+ (* v (/ v H)) -98/5) 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))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (* -49/5 H) (+ (* v (/ v H)) -98/5))
5.0ms
v
@0
((* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ (+ (* (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) (* (+ (* v (/ v H)) -98/5) 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))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (* -49/5 H) (+ (* v (/ v H)) -98/5))
4.0ms
H
@-inf
((* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ (+ (* (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) (* (+ (* v (/ v H)) -98/5) 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))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (* -49/5 H) (+ (* v (/ v H)) -98/5))
2.0ms
H
@0
((* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ (+ (* (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) (* (+ (* v (/ v H)) -98/5) 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))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (* -49/5 H) (+ (* v (/ v H)) -98/5))
2.0ms
v
@inf
((* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v)) (* (sqrt (/ 1 (+ (* v v) (* H -98/5)))) v) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (/ (+ (* (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) (* (+ (* v (/ v H)) -98/5) 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))) (sqrt (+ (* -98/5 H) (* v v))) (+ (* -98/5 H) (* v v)) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v) (/ 1 (+ (* v v) (* H -98/5))) (/ -5/98 H) (* -49/5 H) (+ (* v (/ v H)) -98/5))

simplify255.0ms (3.8%)

Memory
7.6MiB live, 376.9MiB allocated
Algorithm
egg-herbie
Rules
11 338×lower-fma.f64
11 338×lower-fma.f32
7 228×lower-*.f64
7 228×lower-*.f32
3 546×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063710153
119259842
265039786
082839177
Stop Event
iter limit
node limit
Counts
576 → 572
Calls
Call 1
Inputs
0
0
0
0
(* (sqrt H) (* v (sqrt -98/5)))
(* v (- (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* -1 (* (sqrt H) (sqrt -98/5)))))
(* v (- (* (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)))))) (* -1 (* (sqrt H) (sqrt -98/5)))))
(* v (- (* (pow v 2) (- (* (pow v 2) (- (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))))) (* -1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))) (* -1 (* (sqrt H) (sqrt -98/5)))))
(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))))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* -49/5 (/ H (pow v 2)))
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(* -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))))))
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(* -49/5 (/ H (pow v 2)))
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(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(* -98/5 H)
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(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
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(* -98/5 H)
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(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
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(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))
(/ -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))
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(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(/ -5/98 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
(* -49/5 H)
-98/5
(- (/ (pow v 2) H) 98/5)
(- (/ (pow v 2) H) 98/5)
(- (/ (pow v 2) H) 98/5)
Outputs
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
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#s(literal -98/5 binary64)
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(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(- (/ (pow v 2) H) 98/5)
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0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow v 2)
(*.f64 v v)
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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#s(literal 1 binary64)
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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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))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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(/ 1 v)
(/.f64 #s(literal 1 binary64) v)
(/ (+ 1 (* 49/5 (/ H (pow v 2)))) v)
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) v)
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) v)
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-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
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(- (* -49/5 (/ H (pow v 2))) 1)
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(- (* -49/5 (/ H (pow v 2))) 1)
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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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))
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))
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-1
#s(literal -1 binary64)
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(- (* -49/5 (/ H (pow v 2))) 1)
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(pow v 2)
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -98/5 binary64) #s(literal 1 binary64)) v) v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
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1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
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(* (sqrt 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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(* (sqrt H) (sqrt -98/5))
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
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(* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3)))))))
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(* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (sqrt -98/5)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 7) (pow (sqrt -98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (pow (sqrt -98/5) 3))))))))
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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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(/ -5/98 H)
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-98/5
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(- (/ (pow v 2) H) 98/5)
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(* -1 (* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5)))))
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(* -1 (* H (- (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))))))
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(* -1 (* H (- (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5))))))))
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(* -1 (* H (- (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))
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(*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))
(* -1 (* H (+ (/ 1 H) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 (/.f64 #s(literal -49/5 binary64) v) (/.f64 H v) #s(literal -1 binary64))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) 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))
(* (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 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -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 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 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 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64)))))
(+ (* -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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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) (pow.f64 H #s(literal 3 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 (pow.f64 v #s(literal 4 binary64)) (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 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) (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 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 98/5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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) (pow.f64 H #s(literal 3 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 (pow.f64 v #s(literal 4 binary64)) (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 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) (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 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 (neg.f64 H) (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H)))
(* (sqrt H) (* v (* (sqrt -1) (sqrt 98/5))))
(*.f64 (*.f64 v (sqrt.f64 H)) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))))) H)
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))))) H)
(* -1 (* H (+ (* -1 (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 98/5))))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 98/5)))) (+ (* -1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 7) (sqrt -1)) (pow (sqrt 98/5) 5)))) (* 1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 3)))))))))
(*.f64 (neg.f64 H) (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (sqrt.f64 #s(literal 98/5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) v (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 7 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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 3 binary64))) (sqrt.f64 #s(literal 98/5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 #s(literal 5/784 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))))))))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(/.f64 (-.f64 #s(literal -5/98 binary64) (*.f64 (/.f64 (*.f64 v v) H) #s(literal 25/9604 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 #s(literal -25/9604 binary64) (*.f64 v v) (*.f64 (/.f64 (pow.f64 v #s(literal 4 binary64)) H) #s(literal -125/941192 binary64))) H)) (neg.f64 H))
(* -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 #s(literal 5/98 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -25/9604 binary64) v) v (/.f64 (fma.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 125/941192 binary64) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) H) #s(literal 625/92236816 binary64))) (neg.f64 H))) H)) (neg.f64 H))
(/ -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)
(* -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
#s(literal -98/5 binary64)
(- (/ (pow v 2) H) 98/5)
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(- (/ (pow v 2) H) 98/5)
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(- (/ (pow v 2) H) 98/5)
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))

rewrite191.0ms (2.8%)

Memory
-8.1MiB live, 303.2MiB allocated
Rules
5 198×lower-fma.f32
5 192×lower-fma.f64
4 858×lower-/.f32
4 848×lower-/.f64
4 160×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055398
084346
1286340
21780326
08351323
Stop Event
iter limit
node limit
iter limit
Counts
25 → 897
Calls
Call 1
Inputs
(*.f64 #s(literal 0 binary64) (neg.f64 (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 (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v 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))))
(/.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)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* 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)))
(/.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 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))
(sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))
(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)
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal -5/98 binary64) H)
(*.f64 #s(literal -49/5 binary64) H)
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
Outputs
#s(literal 0 binary64)
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v))
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
(*.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (fma.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (fma.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 3/2 binary64)) (pow.f64 v #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)))) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (neg.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))))))
(/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)) (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v #s(literal 0 binary64))
(fma.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(+.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (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)))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) v))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (neg.f64 v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) v))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 v v)) (/.f64 (pow.f64 (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)))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (*.f64 v (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) v) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (-.f64 (pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (pow.f64 (fma.f64 H #s(literal -98/5 binary64) (*.f64 (neg.f64 v) v)) #s(literal -1 binary64))))
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(fma.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) (/.f64 (*.f64 v (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #s(literal 0 binary64))
(fma.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v v)) #s(literal 0 binary64))
(fma.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (neg.f64 v)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (/.f64 (*.f64 v (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v) #s(literal 0 binary64))
(fma.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (*.f64 (/.f64 v v) (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal 0 binary64))
(fma.f64 v (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (/.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(+.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (pow.f64 (neg.f64 H) #s(literal -1 binary64)) #s(literal 5/98 binary64))
(*.f64 (pow.f64 H #s(literal -1 binary64)) #s(literal -5/98 binary64))
(*.f64 #s(literal 5/98 binary64) (pow.f64 (neg.f64 H) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64)))
(*.f64 #s(literal -5/98 binary64) (pow.f64 H #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -5/98 binary64) H))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 5/98 binary64) (neg.f64 (neg.f64 (neg.f64 H))))
(/.f64 #s(literal 5/98 binary64) (neg.f64 H))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal -5/98 binary64) (neg.f64 (neg.f64 H)))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
(neg.f64 (/.f64 #s(literal 5/98 binary64) H))
(exp.f64 (*.f64 (log.f64 (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -49/5 binary64) H)
(*.f64 H #s(literal -49/5 binary64))
(*.f64 (-.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))))
(*.f64 (neg.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (pow.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9604/25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))))))
(*.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (fma.f64 (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (*.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)) #s(literal 9604/25 binary64))) (*.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))))
(/.f64 (-.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64))) (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64))) (neg.f64 (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 9604/25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64)))
(/.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))) (+.f64 #s(literal 9604/25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64)))))
(/.f64 (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) #s(literal 9604/25 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v)) (-.f64 #s(literal 9604/25 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9604/25 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64)))) (+.f64 #s(literal -941192/125 binary64) (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))))
(fma.f64 (/.f64 v #s(literal -1 binary64)) (/.f64 (neg.f64 v) H) #s(literal -98/5 binary64))
(fma.f64 (*.f64 (neg.f64 v) #s(literal -1 binary64)) (/.f64 v H) #s(literal -98/5 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) v) (/.f64 v H) #s(literal -98/5 binary64))
(fma.f64 (*.f64 v #s(literal 1 binary64)) (/.f64 v H) #s(literal -98/5 binary64))
(fma.f64 (pow.f64 H #s(literal -1 binary64)) (/.f64 v (pow.f64 v #s(literal -1 binary64))) #s(literal -98/5 binary64))
(fma.f64 (*.f64 (neg.f64 v) v) (pow.f64 (neg.f64 H) #s(literal -1 binary64)) #s(literal -98/5 binary64))
(fma.f64 (*.f64 (/.f64 v H) v) #s(literal 1 binary64) #s(literal -98/5 binary64))
(fma.f64 (/.f64 v H) (*.f64 (neg.f64 v) #s(literal -1 binary64)) #s(literal -98/5 binary64))
(fma.f64 (/.f64 v H) v #s(literal -98/5 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))
(fma.f64 (*.f64 v v) (pow.f64 H #s(literal -1 binary64)) #s(literal -98/5 binary64))
(fma.f64 v (/.f64 v H) #s(literal -98/5 binary64))
(-.f64 (/.f64 #s(literal 9604/25 binary64) (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v))) (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (-.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 v H) v) #s(literal 2 binary64)) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))) (/.f64 #s(literal 9604/25 binary64) (fma.f64 (/.f64 v H) v #s(literal 98/5 binary64))))
(+.f64 (*.f64 (/.f64 v H) v) #s(literal -98/5 binary64))
(+.f64 #s(literal -98/5 binary64) (*.f64 (/.f64 v H) v))

eval373.0ms (5.6%)

Memory
31.7MiB live, 541.2MiB allocated
Compiler

Compiled 64 626 to 7 114 computations (89% saved)

prune51.0ms (0.8%)

Memory
-30.3MiB live, 127.8MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 90831 911
Fresh325
Picked145
Done044
Total1 912131 925
Accuracy
100.0%
Counts
1 925 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
63.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.2%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
65.9%
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
41.0%
(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)))) (neg.f64 v)))
33.2%
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
35.3%
(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))))
18.3%
(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)))))
33.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
34.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
41.0%
#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 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
41.1%
#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 188 to 161 computations (14.4% saved)

simplify113.0ms (1.7%)

Memory
21.1MiB live, 63.9MiB 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 #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)))) (neg.f64 v)))
cost-diff448
(*.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))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
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
(/.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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
cost-diff0
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
cost-diff0
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
cost-diff0
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
cost-diff0
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
Rules
1 224×lower-fma.f32
1 218×lower-fma.f64
992×lower-*.f32
980×lower-*.f64
700×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057410
083375
1142357
2213353
3345353
4789353
51592353
62341353
73048353
83317353
93414353
103505353
113600353
123803353
134028353
144032353
04032353
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
v
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 #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)
#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 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
#s(literal 1 binary64)
(*.f64 H #s(literal -98/5 binary64))
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 #s(literal -98/5 binary64) H)))) (neg.f64 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 #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
(neg.f64 v)
v
Outputs
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (/.f64 v (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (/.f64 v (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 v (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
v
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 v v (*.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)
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64) #s(literal 1 binary64))))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 #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)
#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 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
(/.f64 #s(literal -5/98 binary64) H)
#s(literal 1 binary64)
(*.f64 H #s(literal -98/5 binary64))
(*.f64 #s(literal -98/5 binary64) H)
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 #s(literal -98/5 binary64) H)))) (neg.f64 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)))) (neg.f64 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
(neg.f64 v)
v

localize182.0ms (2.7%)

Memory
-5.2MiB live, 246.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.17578125
(*.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))
accuracy0.44140625
(*.f64 #s(literal -98/5 binary64) H)
accuracy17.762868755844774
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy39.46838019668049
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0.328125
(/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))
accuracy0.44140625
(*.f64 H #s(literal -98/5 binary64))
accuracy17.15259506246938
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))))
accuracy39.09270874146549
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))
accuracy0.01171875
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
accuracy0.0546875
(/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)))
accuracy0.12109375
(fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v)
accuracy41.943216239927956
#s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))
accuracy0.01171875
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
accuracy0.11328125
(fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))
accuracy8.014432870940125
(/.f64 H (*.f64 v v))
accuracy42.11006240749486
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
accuracy0.44140625
(*.f64 H #s(literal -98/5 binary64))
accuracy2.390088022751945
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
accuracy17.762868755844774
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
accuracy17.86428644655879
(/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
Samples
117.0ms247×0valid
27.0ms5exit
Compiler

Compiled 341 to 48 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-mult: 36.0ms (29.6% of total)
ival-div: 28.0ms (23% of total)
adjust: 16.0ms (13.1% of total)
const: 11.0ms (9% of total)
ival-atan: 11.0ms (9% of total)
ival-sqrt: 8.0ms (6.6% of total)
ival-add: 5.0ms (4.1% of total)
ival-sub: 2.0ms (1.6% of total)
ival-neg: 2.0ms (1.6% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series48.0ms (0.7%)

Memory
-11.6MiB live, 107.0MiB allocated
Counts
26 → 588
Calls
Call 1
Inputs
#s(alt (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 v (fma.f64 v v (*.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 (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 #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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))) (patch (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 1 binary64) (*.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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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)))) (neg.f64 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)))) (neg.f64 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)))) (neg.f64 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)))) (neg.f64 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 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 (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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 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 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 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 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 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 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -5/98 (/ v H)) (taylor 0 v) (#s(alt (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))) (taylor 0 v) (#s(alt (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))) (taylor 0 v) (#s(alt (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* v (- (* (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)))) (taylor 0 v) (#s(alt (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -98/5 H) (taylor 0 v) (#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) (pow v 2)) (taylor 0 v) (#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) (pow v 2)) (taylor 0 v) (#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) (pow v 2)) (taylor 0 v) (#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 (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 49/5 (/ H (pow v 2))) (taylor 0 v) (#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 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#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 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#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 (/ (+ (* 49/5 H) (pow v 2)) (pow v 2)) (taylor 0 v) (#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 (/ 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 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#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 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#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 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#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 (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor 0 v) (#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>) () ())) ())
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#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#s(alt (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) (patch (atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor inf H) (#s(alt #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#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 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) (patch #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))) #<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 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#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>) () ())) ())
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#s(alt (atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H)))))) (taylor inf H) (#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>) () ())) ())
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#s(alt (* H (- (/ v H) (* 49/5 (/ 1 v)))) (taylor inf H) (#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>) () ())) ())
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#s(alt (* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5)))) (taylor -inf H) (#s(alt (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 (fma.f64 v v (*.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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 (fma.f64 v v (*.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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 (fma.f64 v v (*.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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (patch (sqrt.f64 (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 (/ -5/98 H) (taylor -inf H) (#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.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 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))) (taylor -inf H) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.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 #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
5.0ms
v
@0
((atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) (/ v (+ (* v v) (* H -98/5))) (+ (* v v) (* H -98/5)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (+ (* 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))) (+ (* (/ H v) -49/5) v) (/ 1 (* H -98/5)) (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) (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v)) (atan (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v))) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt (+ (* v v) (* H -98/5))) (* H -98/5) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
3.0ms
H
@-inf
((atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) (/ v (+ (* v v) (* H -98/5))) (+ (* v v) (* H -98/5)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (+ (* 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))) (+ (* (/ H v) -49/5) v) (/ 1 (* H -98/5)) (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) (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v)) (atan (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v))) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt (+ (* v v) (* H -98/5))) (* H -98/5) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
3.0ms
H
@inf
((atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) (/ v (+ (* v v) (* H -98/5))) (+ (* v v) (* H -98/5)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (+ (* 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))) (+ (* (/ H v) -49/5) v) (/ 1 (* H -98/5)) (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) (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v)) (atan (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v))) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt (+ (* v v) (* H -98/5))) (* H -98/5) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms
H
@0
((atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) (/ v (+ (* v v) (* H -98/5))) (+ (* v v) (* H -98/5)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (+ (* 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))) (+ (* (/ H v) -49/5) v) (/ 1 (* H -98/5)) (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) (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v)) (atan (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v))) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt (+ (* v v) (* H -98/5))) (* H -98/5) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))
2.0ms
v
@-inf
((atan (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5))))) (* (/ v (+ (* v v) (* H -98/5))) (sqrt (+ (* v v) (* H -98/5)))) (/ v (+ (* v v) (* H -98/5))) (+ (* v v) (* H -98/5)) (atan (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v)))) (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (+ (* 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))) (+ (* (/ H v) -49/5) v) (/ 1 (* H -98/5)) (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) (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v)) (atan (* (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (neg v))) (/ -1 (sqrt (- (* v v) (* (* 2 49/5) H)))) (sqrt (- (* v v) (* (* 2 49/5) H))) (sqrt (+ (* v v) (* H -98/5))) (* H -98/5) (/ 1 (+ (* v v) (* H -98/5))) (sqrt (/ 1 (+ (* v v) (* H -98/5)))) (- (* v v) (* (* 2 49/5) H)) (* -98/5 H))

simplify216.0ms (3.2%)

Memory
34.5MiB live, 369.5MiB allocated
Algorithm
egg-herbie
Rules
10 688×lower-fma.f64
10 688×lower-fma.f32
7 272×lower-*.f64
7 272×lower-*.f32
3 346×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062110512
1184710189
2587110148
086469493
Stop Event
iter limit
node limit
Counts
588 → 579
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (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))))))))))
(* -5/98 (/ v H))
(* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))
(* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))
(* v (- (* (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 (+ (* -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))))))))))
(* 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))
(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))))))))
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(* (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)))))
(/ -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))))))
(* (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 (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98)))))
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* 125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98)))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 5/98))))))
(+ (* -1 (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))) (+ (* -1 (/ (+ (* -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)))) (* -125/1882384 (* (sqrt H) (/ (* (pow v 4) (sqrt -1)) (sqrt 5/98))))) (pow H 3))) (* 25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (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))))))))
(* -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)
(/ -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)))))
(* -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 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* -5/98 (/ v H))
(*.f64 (/.f64 v H) #s(literal -5/98 binary64))
(* v (- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H))))
(*.f64 (/.f64 (fma.f64 (*.f64 v (/.f64 v H)) #s(literal -25/9604 binary64) #s(literal -5/98 binary64)) H) v)
(* v (- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H))))
(*.f64 (fma.f64 (fma.f64 (*.f64 v (/.f64 v (pow.f64 H #s(literal 3 binary64)))) #s(literal -125/941192 binary64) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal -5/98 binary64) H)) v)
(* v (- (* (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))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 v (/.f64 v (pow.f64 H #s(literal 4 binary64)))) #s(literal -625/92236816 binary64) (/.f64 #s(literal -125/941192 binary64) (pow.f64 H #s(literal 3 binary64)))) (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (*.f64 v v) (/.f64 #s(literal -5/98 binary64) H)) v)
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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) (pow.f64 H #s(literal 3 binary64))))) #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 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 (*.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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) 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) (pow.f64 H #s(literal 3 binary64))) (/.f64 #s(literal -125/3764768 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 v v) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64))) (*.f64 v v) (*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))) v)
(* 49/5 (/ H (pow v 2)))
(*.f64 (/.f64 H (*.f64 v v)) #s(literal 49/5 binary64))
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
(/ (+ (* 49/5 H) (pow v 2)) (pow v 2))
(/.f64 (/.f64 (fma.f64 #s(literal 49/5 binary64) H (*.f64 v v)) v) v)
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(/ H (pow v 2))
(/.f64 H (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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))))
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(* 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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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
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(* -1 (* (sqrt (/ 1 H)) (sqrt -5/98)))
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(* (sqrt 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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(* (sqrt H) (sqrt -98/5))
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
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(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
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(* -98/5 H)
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(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
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(/ -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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(* (sqrt (/ 1 H)) (sqrt -5/98))
(*.f64 (sqrt.f64 #s(literal -5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)))
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(+ (* -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))))
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(*.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) (pow.f64 H #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -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 #s(literal -25/19208 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) v) v) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.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) (pow.f64 H #s(literal 3 binary64)))) (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 (pow.f64 v #s(literal 4 binary64)) H) #s(literal 5/98 binary64)) #s(literal -625/368947264 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 625/92236816 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 v #s(literal 4 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))) (neg.f64 (pow.f64 H #s(literal 3 binary64))))))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -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 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))

rewrite495.0ms (7.4%)

Memory
-99.0MiB live, 339.4MiB allocated
Rules
4 718×lower-/.f32
4 706×lower-/.f64
4 232×lower-*.f32
4 220×lower-*.f64
3 988×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057381
083346
1286328
21725298
08355298
Stop Event
iter limit
node limit
iter limit
Counts
26 → 732
Calls
Call 1
Inputs
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 #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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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)))) (neg.f64 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)))) (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))))
(sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(*.f64 H #s(literal -98/5 binary64))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64)))))
#s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
Outputs
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (/.f64 (neg.f64 v) (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))) (/.f64 v (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (neg.f64 v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (neg.f64 v)))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) v))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) v) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) v))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (*.f64 v (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (*.f64 v v)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) v) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (*.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))
(*.f64 (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) (/.f64 (pow.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)) #s(literal 1/4 binary64)) (pow.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (pow.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (pow.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v)) (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 98/5 binary64) H) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 H H) #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) v) #s(literal 3 binary64)) (fma.f64 #s(literal -941192/125 binary64) (pow.f64 H #s(literal 3 binary64)) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 v v) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -98/5 binary64) H) (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)) (pow.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 v) (-.f64 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 2 binary64)) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))) (pow.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 (neg.f64 v) v)) #s(literal -1 binary64))))
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(*.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal -1 binary64))
(*.f64 #s(literal 98/5 binary64) (neg.f64 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) (*.f64 H #s(literal 1 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
(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 (pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 3 binary64)) (+.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 #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 98/5 binary64) (neg.f64 (pow.f64 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 #s(literal -98/5 binary64) H) #s(literal 1 binary64))
(/.f64 #s(literal -98/5 binary64) (pow.f64 H #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 98/5 binary64) H))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -98/5 binary64) H)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -98/5 binary64) H))

eval290.0ms (4.3%)

Memory
47.4MiB live, 663.6MiB allocated
Compiler

Compiled 35 375 to 4 715 computations (86.7% saved)

prune44.0ms (0.7%)

Memory
3.0MiB live, 122.0MiB allocated
Pruning

14 alts after pruning (1 fresh and 13 done)

PrunedKeptTotal
New1 51811 519
Fresh000
Picked055
Done088
Total1 518141 532
Accuracy
100.0%
Counts
1 532 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
63.1%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
41.0%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 H #s(literal -98/5 binary64))))))
36.2%
(atan.f64 (/.f64 v #s(approx (sqrt (- (* v v) (* (* 2 49/5) H))) (fma.f64 (/.f64 H v) #s(literal -49/5 binary64) v))))
65.9%
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
32.3%
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
41.0%
(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)))) (neg.f64 v)))
33.2%
(atan.f64 #s(approx (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64))))
35.3%
(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))))
18.3%
(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)))))
33.2%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
34.9%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
41.0%
#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 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
41.1%
#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 448 to 257 computations (42.6% saved)

regimes40.0ms (0.6%)

Memory
-29.9MiB live, 90.4MiB 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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 (/.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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(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)))) (neg.f64 v)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v)))) (neg.f64 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 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)) H)))))
(atan.f64 (*.f64 (/.f64 v (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(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 v (*.f64 (sqrt.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -98/5 binary64) H (*.f64 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))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 (*.f64 v v) (/.f64 (*.f64 v v) (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (neg.f64 (*.f64 (*.f64 #s(literal 9604/25 binary64) H) (/.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))))))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

9.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
8.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
7.0ms
v
7.0ms
H
6.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
99.8%3v
75.1%3H
85.3%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
85.3%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
75.1%3(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
13 → 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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 (/.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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H)))))
(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)))) (neg.f64 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

1 calls:

4.0ms
v
Results
AccuracySegmentsBranch
99.8%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
11 → 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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 (/.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 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 binary64))))) v)))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (atan (/ v (sqrt (- (* v v) (* (* 2 49/5) H))))) (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)))
(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:

4.0ms
v
Results
AccuracySegmentsBranch
90.7%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB 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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (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 (/.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)))) #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)))) #s(literal 1 binary64)))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
90.5%3v
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0.6%)

Memory
-18.8MiB live, 20.4MiB 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 (/ (- (* 0 (neg (sqrt (+ (* -98/5 H) (* v v))))) (* (neg (sqrt (+ (* -98/5 H) (* v v)))) v)) (+ (* -98/5 H) (* v v))) (fma.f64 #s(literal 49/5 binary64) (/.f64 H (*.f64 v v)) #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:

27.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
2.0ms
(*.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
42.8%5H
42.8%5(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
53.2%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
53.2%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
66.3%2v
Compiler

Compiled 32 to 31 computations (3.1% saved)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB 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
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
34.9%1H
34.9%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
34.9%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
34.9%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
34.9%1v
Compiler

Compiled 32 to 31 computations (3.1% saved)

bsearch7.0ms (0.1%)

Memory
9.2MiB live, 9.3MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
2.0ms
1.5845386970743182e+148
9.978425233035683e+148
4.0ms
-1.0368865149379677e+158
-2.6718906198791485e+152
Samples
4.0ms48×0valid
Compiler

Compiled 64 to 70 computations (-9.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (33.9% of total)
ival-atan: 1.0ms (33.9% of total)
const: 1.0ms (33.9% 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)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
predicate-same
Steps
TimeLeftRight
0.0ms
1.5845386970743182e+148
9.978425233035683e+148
0.0ms
-1.0368865149379677e+158
-2.6718906198791485e+152
Compiler

Compiled 55 to 61 computations (-10.9% saved)

bsearch63.0ms (0.9%)

Memory
-64.9MiB live, 69.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.445413663499166e-31
1.0966302555271517e-17
29.0ms
-3.8436256062206e-46
-1.4655073407621172e-47
Samples
30.0ms272×0valid
3.0ms45×0invalid
Compiler

Compiled 290 to 318 computations (-9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
const: 12.0ms (46.1% of total)
ival-mult: 6.0ms (23% of total)
ival-div: 2.0ms (7.7% of total)
ival-atan: 2.0ms (7.7% of total)
ival-sqrt: 2.0ms (7.7% of total)
ival-sub: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.445413663499166e-31
1.0966302555271517e-17
1.0ms
-3.8436256062206e-46
-1.4655073407621172e-47
Compiler

Compiled 220 to 288 computations (-30.9% saved)

bsearch32.0ms (0.5%)

Memory
-19.6MiB live, 55.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
-3.738255114721292e-303
4.5662040499843263e-303
Samples
14.0ms160×0valid
8.0ms64×0invalid
Compiler

Compiled 76 to 136 computations (-78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (26.7% of total)
ival-sub: 4.0ms (26.7% of total)
const: 3.0ms (20% of total)
ival-sqrt: 2.0ms (13.3% of total)
ival-div: 1.0ms (6.7% of total)
ival-atan: 1.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify23.0ms (0.3%)

Memory
15.6MiB live, 54.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066276
172276
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) #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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 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 -498150793720287/1606938044258990275541962092341162602522202993782792835301376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2855763272194155/1298074214633706907132624082305024 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 #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 -498150793720287/1606938044258990275541962092341162602522202993782792835301376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2855763272194155/1298074214633706907132624082305024 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)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) #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 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) #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 #s(literal -98/5 binary64) H)))) v))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -100000000000000000717623154091016830408061481189160311806712772146250661680488340128266606984576189330386573813296762136260081534229469225952733653677113344 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 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 -498150793720287/1606938044258990275541962092341162602522202993782792835301376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2855763272194155/1298074214633706907132624082305024 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 #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 -498150793720287/1606938044258990275541962092341162602522202993782792835301376 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 2855763272194155/1298074214633706907132624082305024 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)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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)))

soundness520.0ms (7.8%)

Memory
4.6MiB live, 435.6MiB 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
04808549
113978282
245258217
087437681
03231843
19331797
231561774
372331741
082501626
01140
01940
15040
227540
3226040
0897836
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 205 to 149 computations (27.3% saved)

preprocess288.0ms (4.3%)

Memory
-1.8MiB live, 124.8MiB allocated
Compiler

Compiled 260 to 124 computations (52.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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