Optimal throwing angle

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze33.0ms (0.4%)

Memory
14.6MiB live, 50.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
50%43.7%43.7%0.1%0%12.5%0%5
60.7%53.1%34.3%0.1%0%12.5%0%6
72.2%60.9%23.4%0.1%0%15.6%0%7
79.4%63.2%16.4%0.1%0%20.3%0%8
85.6%67.5%11.3%0.1%0%21.1%0%9
89.6%68.9%8%0.1%0%23%0%10
92.7%71.1%5.6%0.1%0%23.2%0%11
94.8%71.9%4%0.1%0%24.1%0%12
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.2s (14.1%)

Memory
39.1MiB live, 1 682.4MiB allocated
Samples
882.0ms8 256×0valid
11.0ms95×0invalid
Precisions
Click to see histograms. Total time spent on operations: 701.0ms
ival-mult: 227.0ms (32.4% of total)
const: 123.0ms (17.5% of total)
ival-div: 113.0ms (16.1% of total)
ival-atan: 87.0ms (12.4% of total)
ival-sub: 70.0ms (10% of total)
ival-sqrt: 67.0ms (9.6% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain244.0ms (2.8%)

Memory
1.7MiB live, 253.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-0-(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-rescue860
↳(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))overflow86
↳(*.f64 v v)overflow86
Confusion
Predicted +Predicted -
+863
-0167
Precision
1.0
Recall
0.9662921348314607
Confusion?
Predicted +Predicted MaybePredicted -
+8603
-00167
Precision?
1.0
Recall?
0.9662921348314607
Freqs
test
numberfreq
0170
186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms500×0valid
37.0ms12×5exit
Compiler

Compiled 137 to 37 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
const: 39.0ms (57.8% of total)
ival-mult: 10.0ms (14.8% of total)
ival-atan: 6.0ms (8.9% of total)
ival-div: 4.0ms (5.9% of total)
ival-sqrt: 4.0ms (5.9% of total)
ival-sub: 2.0ms (3% of total)
adjust: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess60.0ms (0.7%)

Memory
6.4MiB live, 77.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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 H #s(literal -98/5 binary64) (*.f64 v v)))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.2%
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify28.0ms (0.3%)

Memory
-37.5MiB live, 14.4MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
v
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64))
#s(literal 2 binary64)
#s(literal 49/5 binary64)
H
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.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 H #s(literal -98/5 binary64) (*.f64 v v)))
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
(*.f64 #s(literal 98/5 binary64) H)
(*.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 (0.5%)

Memory
11.1MiB live, 85.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))
accuracy0.0625
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
accuracy0.5078125
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
accuracy20.073716741015975
(sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))
Samples
26.0ms250×0valid
6.0ms6×5exit
Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
const: 7.0ms (32.5% of total)
ival-mult: 5.0ms (23.2% of total)
ival-atan: 3.0ms (13.9% of total)
ival-div: 2.0ms (9.3% of total)
ival-sqrt: 2.0ms (9.3% of total)
ival-sub: 1.0ms (4.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
1.1MiB live, 37.7MiB 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 (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>) () ())) ())
#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>) () ())) ())
#s(alt (pow v 2) (taylor 0 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 (+ (* -98/5 H) (pow v 2)) (taylor 0 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 (+ (* -98/5 H) (pow v 2)) (taylor 0 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 (+ (* -98/5 H) (pow v 2)) (taylor 0 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 (* -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 (* H (- (/ (pow v 2) H) 98/5)) (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 (* H (- (/ (pow v 2) H) 98/5)) (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 (* H (- (/ (pow v 2) H) 98/5)) (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 (* -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 (- (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>) () ())) ())
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#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 v (taylor inf 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 (* v (+ 1 (* -49/5 (/ H (pow v 2))))) (taylor inf 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 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))) (taylor inf 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 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) (taylor inf 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 v) (taylor -inf 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 (* v (+ 1 (* -49/5 (/ H (pow v 2)))))) (taylor -inf 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 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))) (taylor -inf 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 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))) (taylor -inf 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 v (taylor 0 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 (+ v (* -49/5 (/ H v))) (taylor 0 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 (+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v))))) (taylor 0 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 (+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v))))) (taylor 0 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 (* (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 (* -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 0 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 0 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 0 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 0 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 #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 #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

27 calls:

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

simplify309.0ms (3.6%)

Memory
-13.1MiB live, 380.4MiB allocated
Algorithm
1×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
231661774
372391741
082561626
Stop Event
1×iter limit
1×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))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(atan (* v (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 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
Outputs
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(- (pow v 2) (* 98/5 H))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(fma.f64 (*.f64 #s(literal -98/5 binary64) H) #s(literal 1 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(+ (* -98/5 H) (pow v 2))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* H (- (/ (pow v 2) H) 98/5))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -98/5 binary64) H (*.f64 v v))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 (*.f64 (*.f64 v v) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H))) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/19208 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 H H)) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.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 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 v v) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 H (fma.f64 (*.f64 H H) #s(literal -941192/125 binary64) (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)))) (pow.f64 v #s(literal 6 binary64)))) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 H (/.f64 #s(literal 117649/50 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -125/1882384 binary64) (sqrt.f64 #s(literal -5/98 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 v (fma.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal -25/19208 binary64)) (sqrt.f64 #s(literal -5/98 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -125/1882384 binary64) (sqrt.f64 #s(literal -5/98 binary64))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 v (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) #s(literal -25/19208 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v)) (*.f64 (*.f64 #s(literal -125/1882384 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (pow.f64 v #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) v))))
(+ (* -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 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (*.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) H))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (*.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -125/3764768 binary64) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 H) (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 H (*.f64 H H)))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v) v))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 (*.f64 H (*.f64 H H)) (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 (*.f64 H H) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)))
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 H #s(literal -49/5 binary64)) v)) v)
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 v (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(*.f64 v (fma.f64 #s(literal 117649/250 binary64) (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 H (/.f64 #s(literal -117649/250 binary64) (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64)))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v v) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -98/5 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (/.f64 #s(literal 5/784 binary64) (sqrt.f64 #s(literal -98/5 binary64))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (neg.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))))) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64)))) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (pow.f64 v #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64))))) (neg.f64 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))
(* 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))
(* 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))

rewrite303.0ms (3.5%)

Memory
27.2MiB live, 486.5MiB 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
1×iter limit
1×node limit
1×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 (*.f64 v v) (*.f64 H #s(literal -98/5 binary64)))
(+.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))
(+.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (neg.f64 (/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(+.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (neg.f64 (/.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(exp.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(-.f64 (*.f64 v v) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 98/5 binary64) H) (*.f64 v v)))
(-.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(-.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (/.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(-.f64 (fma.f64 v v #s(literal 0 binary64)) (*.f64 #s(literal 98/5 binary64) H))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
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(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.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)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (pow.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (pow.f64 (*.f64 (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 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (pow.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 H (-.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (fma.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (-.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))))) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (fma.f64 (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H))) (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))))) (sqrt.f64 (fma.f64 v (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (-.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal 941192/125 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 (fma.f64 H (-.f64 (*.f64 H #s(literal 9604/25 binary64)) (*.f64 #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(exp.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 98/5 binary64) H)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 98/5 binary64) H) #s(literal 1 binary64))
(*.f64 #s(literal 98/5 binary64) H)
(*.f64 #s(literal 98/5 binary64) (pow.f64 H #s(literal 1 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 (pow.f64 H #s(literal 1 binary64)) #s(literal 98/5 binary64))
(*.f64 (exp.f64 (log.f64 H)) (exp.f64 (log.f64 #s(literal 98/5 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 98/5 binary64))) (exp.f64 (log.f64 H)))

eval104.0ms (1.2%)

Memory
-11.5MiB live, 100.3MiB allocated
Compiler

Compiled 18 877 to 1 993 computations (89.4% saved)

prune151.0ms (1.7%)

Memory
3.0MiB live, 176.3MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New42316439
Fresh000
Picked101
Done000
Total42416440
Accuracy
100.0%
Counts
440 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v))) (*.f64 (neg.f64 (sqrt.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 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)))))
63.2%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (neg.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)))))
17.8%
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
66.1%
(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
▶32.2%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
▶66.2%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
▶36.5%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
19.7%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
65.1%
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (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))))))))
34.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (- (* v v) (* (* 2 49/5) H)) (*.f64 #s(literal -98/5 binary64) H)))))
66.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
66.1%
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (neg.f64 v)))
▶66.1%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
39.6%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
35.7%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
▶38.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Compiler

Compiled 730 to 382 computations (47.7% saved)

simplify241.0ms (2.8%)

Memory
-15.7MiB live, 289.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
cost-diff0
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
cost-diff320
(*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
cost-diff320
(fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))
cost-diff0
(sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
cost-diff0
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
cost-diff2368
(/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
cost-diff0
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
cost-diff0
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
Rules
5 656×lower-fma.f32
5 648×lower-fma.f64
2 760×lower-*.f32
2 740×lower-*.f64
1 620×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046532
077448
1114413
2176413
3299413
4460413
5627413
6919413
71292413
82257413
93242413
104200413
114936413
125233413
135450413
146357413
156887413
167455413
08025412
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.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 (*.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 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
v
(sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
(*.f64 v (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64))
(*.f64 H H)
H
#s(literal -9604/25 binary64)
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
#s(literal 98/5 binary64)
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
(/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
v
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
(fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))
#s(literal 98/5 binary64)
(*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
H
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(*.f64 v v)
(*.f64 v (*.f64 v (*.f64 v v)))
(*.f64 v (*.f64 v v))
(sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
#s(literal 1 binary64)
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
(*.f64 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 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 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
v
(sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
(fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
(*.f64 v (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(*.f64 H H)
H
#s(literal -9604/25 binary64)
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))
#s(literal 98/5 binary64)
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))))
(/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(/.f64 v (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
v
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))))
(sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
(sqrt.f64 (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))
(fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))
(fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))
#s(literal 98/5 binary64)
(*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 H (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)))
H
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
(fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 v (*.f64 v (*.f64 v v)))
(*.f64 v (*.f64 v v))
(sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))
(*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v))) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))))
#s(literal 1 binary64)

localize244.0ms (2.8%)

Memory
18.4MiB live, 333.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy19.325279369065644
(sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
accuracy19.4864378418724
(sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
accuracy20.272935491015975
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
accuracy39.58923699421314
(*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
accuracy0.3962979623180225
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64))
accuracy5.031250000000001
(fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
accuracy20.073716741015975
(sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
accuracy36.6007492216096
(/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
accuracy0.17578125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v)
accuracy0.5078125
(*.f64 H #s(literal -98/5 binary64))
accuracy0.6532415689463066
(/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
accuracy19.4864378418724
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
accuracy0
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
accuracy38.436815132221184
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
accuracy0.0625
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
accuracy0.5078125
(*.f64 H #s(literal -98/5 binary64))
accuracy20.073716741015975
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
Samples
162.0ms250×0valid
9.0ms6×5exit
Compiler

Compiled 583 to 48 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-sqrt: 31.0ms (26.4% of total)
const: 27.0ms (23% of total)
ival-mult: 22.0ms (18.7% of total)
ival-div: 16.0ms (13.6% of total)
ival-atan: 14.0ms (11.9% of total)
ival-add: 5.0ms (4.3% of total)
adjust: 2.0ms (1.7% of total)
ival-sub: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (0.7%)

Memory
0.6MiB live, 124.5MiB allocated
Counts
24 → 552
Calls
Call 1
Inputs
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<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 (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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (patch (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) (patch #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (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 (/.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 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (patch (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) (patch (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (patch (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (patch (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) (patch (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))) (patch (atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))) #<representation binary64>) () ())
#s(alt (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))) (patch (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))) #<representation binary64>) () ())
#s(alt (*.f64 H #s(literal -98/5 binary64)) (patch (*.f64 H #s(literal -98/5 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (patch (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)) (patch (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))) (patch (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))) (patch (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())
Outputs
#s(alt (atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2)))))) (taylor 0 v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf v) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #<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 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 -inf H) (#s(alt (atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (patch (atan.f64 (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (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 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (patch (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (* (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)))))) (taylor inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (+ (* -49/10 (/ (* 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))))))) (taylor inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (pow v 2) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (* 49/5 (/ H (pow v 2))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* (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)))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 2) (+ 1 (+ (* -49/10 (/ (* 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))))))) (taylor -inf v) (#s(alt (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (patch (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) #<representation binary64>) () ())) ())
Calls

138 calls:

TimeVariablePointExpression
8.0ms
v
@0
(/ v (sqrt (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v)))))
1.0ms
v
@inf
(/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v)))
1.0ms
H
@-inf
(sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v)))))))
1.0ms
H
@inf
(sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v)))))))
1.0ms
v
@inf
(sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v)))))))

simplify464.0ms (5.3%)

Memory
14.1MiB live, 637.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 380×lower-fma.f64
10 380×lower-fma.f32
7 852×lower-*.f64
7 852×lower-*.f32
4 052×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083311472
1254910992
0823410275
Stop Event
1×iter limit
1×node limit
Counts
552 → 546
Calls
Call 1
Inputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(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 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
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1
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1
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
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(* -98/5 H)
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1
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-1
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1
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v
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(* -1 v)
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v
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(* (sqrt H) (sqrt -98/5))
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(pow v 4)
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(* 9604/25 (pow H 2))
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(* (pow H 2) (+ 9604/25 (+ (* 98/5 (/ (pow v 2) H)) (/ (pow v 4) (pow H 2)))))
(* 9604/25 (pow H 2))
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(* 9604/25 (pow H 2))
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(pow v 4)
(* (pow v 4) (+ 1 (* 98/5 (/ H (pow v 2)))))
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(* (pow v 4) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))))
(pow v 4)
(* (pow v 4) (+ 1 (* 98/5 (/ H (pow v 2)))))
(* (pow v 4) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))))
(* (pow v 4) (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))))
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(- (* (pow v 2) (+ (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/4802 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (- (+ 1 (* -98/5 (/ H (pow v 2)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -1 (/ (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))) (pow v 4))))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -1 (/ (+ (* -98/5 (* H (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))))) (* 9604/25 (* (pow H 2) (- (* -98/5 H) (* 98/5 H))))) (pow v 6))))) (+ (* 98/5 (/ H (pow v 2))) (+ (* 98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) (pow v 2))
(/ 1 (pow v 2))
(/ (- (+ 1 (* -98/5 (/ H (pow v 2)))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -1 (/ (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))) (pow v 4))))) (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (+ (* -98/5 (/ H (pow v 2))) (* -1 (/ (+ (* -98/5 (* H (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))))) (* 9604/25 (* (pow H 2) (- (* -98/5 H) (* 98/5 H))))) (pow v 6))))) (+ (* 98/5 (/ H (pow v 2))) (+ (* 98/5 (/ (* H (- (* -98/5 H) (* 98/5 H))) (pow v 4))) (* 9604/25 (/ (pow H 2) (pow v 4)))))) (pow v 2))
(/ 1 (pow v 2))
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(/ -5/98 H)
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(/ (- (+ (* -1 (/ (+ (* -125/941192 (pow v 4)) (* 5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))) (pow H 2))) (* 25/9604 (/ (pow v 2) H))) (+ 5/98 (* -25/9604 (/ (pow v 2) H)))) H)
(/ (- (+ (* -1 (/ (+ (* -5/98 (* (pow v 2) (+ (* -125/941192 (pow v 4)) (* 5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))))) (* 25/9604 (* (pow v 4) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))) (pow H 3))) (* 25/9604 (/ (pow v 2) H))) (+ 5/98 (+ (* -25/9604 (/ (pow v 2) H)) (+ (* -125/941192 (/ (pow v 4) (pow H 2))) (* 5/98 (/ (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (pow H 2))))))) H)
(/ -5/98 H)
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
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-1
(- (* -49/5 (/ H (pow v 2))) 1)
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(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
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(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -9604/25 (pow H 2))
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(pow v 4)
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(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
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(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(* -9604/25 (pow H 2))
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(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
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(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
v
(+ v (* -49/5 (/ H v)))
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(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (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))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(* (sqrt H) (sqrt -98/5))
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(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
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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)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
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(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
(* (sqrt (/ 1 H)) (sqrt -5/98))
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(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/92236816 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* 25/9604 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))
(+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* 25/9604 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* -25/9604 (/ (+ (* 625/92236816 (/ 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) (/ (+ (* 625/92236816 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))
(/ 1 v)
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(/ (+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (- (* -98/5 H) (* 98/5 H)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -98/5 (* H (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (* (pow H 2) (- (* -98/5 H) (* 98/5 H)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (- (* -98/5 H) (* 98/5 H)) (pow v 2)))))) v)
(/ -1 v)
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(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (- (* -98/5 H) (* 98/5 H)) (pow v 2))))) v))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -98/5 (* H (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2))))) (+ (* -1/2 (* (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (* (pow H 2) (- (* -98/5 H) (* 98/5 H)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* 1/4 (pow (- (* -98/5 H) (* 98/5 H)) 2)) (+ (* 98/5 (* H (- (* -98/5 H) (* 98/5 H)))) (* 9604/25 (pow H 2)))) (pow v 4))) (* 1/2 (/ (- (* -98/5 H) (* 98/5 H)) (pow v 2)))))) v))
(/ 1 v)
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(+ (* H (- (* (pow H 2) (+ (* -46118408/625 (/ H (pow v 9))) (* 470596/125 (/ 1 (pow v 7))))) (* 98/5 (/ 1 (pow v 3))))) (/ 1 v))
(* (sqrt (/ 1 H)) (sqrt -5/98))
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(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
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(+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (sqrt -1) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (sqrt 5/98)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (sqrt -1) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt H) (/ (* (sqrt -1) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))) 2)) (pow (sqrt 5/98) 2))) (+ (* 25/9604 (* (pow v 4) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 5/98 (* (pow v 2) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))))))) (sqrt 5/98))))) (pow H 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (sqrt -1) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(pow v 2)
(+ (* 49/5 H) (pow v 2))
(+ (* H (+ 49/5 (* 7203/50 (/ H (pow v 2))))) (pow v 2))
(+ (* H (+ 49/5 (* H (+ (* -352947/250 (/ H (pow v 4))) (* 7203/50 (/ 1 (pow v 2))))))) (pow v 2))
(* 98/5 H)
(* H (+ 98/5 (* 1/2 (/ (pow v 2) H))))
(* H (+ 98/5 (+ (* 5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) (pow H 2))) (* 1/2 (/ (pow v 2) H)))))
(* H (+ 98/5 (+ (* -25/38416 (/ (* (pow v 2) (- (pow v 4) (* 1/4 (pow v 4)))) (pow H 3))) (+ (* 5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) (pow H 2))) (* 1/2 (/ (pow v 2) H))))))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* 1/2 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1/2 (pow v 2)) (* -5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) H))) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -25/38416 (/ (* (pow v 2) (- (pow v 4) (* 1/4 (pow v 4)))) H)) (* 5/196 (- (pow v 4) (* 1/4 (pow v 4))))) H)) (* -1/2 (pow v 2))) H)))))
(* 98/5 H)
(+ (* 1/2 (pow v 2)) (* 98/5 H))
(+ (* 98/5 H) (* (pow v 2) (+ 1/2 (* 15/784 (/ (pow v 2) H)))))
(+ (* 98/5 H) (* (pow v 2) (+ 1/2 (* (pow v 2) (+ (* -75/153664 (/ (pow v 2) (pow H 2))) (* 15/784 (/ 1 H)))))))
(pow v 2)
(* (pow v 2) (+ 1 (* 49/5 (/ H (pow v 2)))))
(* (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))))))
(* (pow v 2) (+ 1 (+ (* -49/10 (/ (* 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)))))))
(pow v 2)
(* (pow v 2) (+ 1 (* 49/5 (/ H (pow v 2)))))
(* (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))))))
(* (pow v 2) (+ 1 (+ (* -49/10 (/ (* 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)))))))
Outputs
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal -25/19208 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 H) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 #s(literal -5/196 binary64) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 H (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (*.f64 H (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #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 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 (fma.f64 H (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (*.f64 H (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(fma.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (/.f64 (*.f64 v (fma.f64 #s(literal 625/368947264 binary64) (/.f64 (*.f64 H (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -5/98 binary64)) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 v (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v v))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.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 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 v (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal -25/19208 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(fma.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) #s(literal -125/1882384 binary64)) (*.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 5/98 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) H))))))
(+ (* -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) H)) v) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)) (*.f64 #s(literal -625/368947264 binary64) (/.f64 (*.f64 H (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) v)) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 125/1882384 binary64) (sqrt.f64 H)) (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 5/98 binary64)))) (neg.f64 (*.f64 H (*.f64 H H))))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 #s(literal -5/98 binary64) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 v v))) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 v (*.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64)) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
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(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
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v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 #s(literal -98/5 binary64) (sqrt.f64 #s(literal -98/5 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64))) (neg.f64 (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))))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
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(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(+ (* -98/5 H) (pow v 2))
(fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
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(pow v 2)
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
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(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal -98/5 binary64) (/.f64 H (*.f64 v v)) #s(literal 1 binary64)))
(pow v 2)
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(+ (* -98/5 H) (pow v 2))
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(+ (* -98/5 H) (pow v 2))
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(+ (* -98/5 H) (pow v 2))
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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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(* -98/5 H)
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(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
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(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
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(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(neg.f64 (*.f64 H (-.f64 #s(literal 98/5 binary64) (/.f64 (*.f64 v v) H))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(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 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 #s(literal -98/5 binary64) H))))))
(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 (- (pow v 2) (* 98/5 H))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* 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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(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ 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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(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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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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1
#s(literal 1 binary64)
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1
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v
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v
(+ v (* -49/5 (/ H v)))
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(pow v 4)
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(* 9604/25 (pow H 2))
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v
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(+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (+ (* -125/941192 (pow v 4)) (* 5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))) (sqrt -5/98)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal 5/98 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -125/941192 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 5))) (/ (+ (* -125/941192 (pow v 4)) (* 5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))) (sqrt -5/98)))) (+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (+ (* -5/98 (* (pow v 2) (+ (* -125/941192 (pow v 4)) (* 5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))))))) (+ (* 25/9604 (* (pow v 4) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 1/4 (/ (* H (pow (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))) 2)) (pow (sqrt -5/98) 2))))) (sqrt -5/98)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal 5/98 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -125/941192 binary64))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal 5/98 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -125/941192 binary64))) (*.f64 (*.f64 v v) #s(literal -5/98 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 H (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 625/23059204 binary64))) #s(literal -5/98 binary64)) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal 25/9604 binary64)))))) (sqrt.f64 #s(literal -5/98 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal 1/2 binary64)))))
(* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (sqrt -1) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 25/4802 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))
(+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (sqrt -1) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (sqrt 5/98)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 5))) (/ (* (sqrt -1) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 25/4802 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal -5/98 binary64)) (*.f64 #s(literal 125/941192 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt H) (/ (* (sqrt -1) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (+ (* -1/4 (/ (* H (pow (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))) 2)) (pow (sqrt 5/98) 2))) (+ (* 25/9604 (* (pow v 4) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 5/98 (* (pow v 2) (+ (* -5/98 (* (pow v 2) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2))))) (* 125/941192 (pow v 4)))))))) (sqrt 5/98))))) (pow H 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (sqrt -1) (- (* 25/9604 (pow v 2)) (* -25/9604 (pow v 2)))) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 5/98)))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (sqrt.f64 #s(literal -1 binary64)))) #s(literal 25/4802 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 H (*.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 625/23059204 binary64)) #s(literal 5/98 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal 25/9604 binary64)) (*.f64 (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal -5/98 binary64)) (*.f64 #s(literal 125/941192 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) (*.f64 (*.f64 v v) #s(literal 5/98 binary64)))))) (sqrt.f64 #s(literal 5/98 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 v v) (*.f64 (*.f64 (*.f64 v v) #s(literal 25/4802 binary64)) #s(literal -5/98 binary64)) (*.f64 #s(literal 125/941192 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (sqrt.f64 H)) (sqrt.f64 #s(literal 5/98 binary64))))) (*.f64 H (*.f64 H H))))
(pow v 2)
(*.f64 v v)
(+ (* 49/5 H) (pow v 2))
(fma.f64 v v (*.f64 H #s(literal 49/5 binary64)))
(+ (* H (+ 49/5 (* 7203/50 (/ H (pow v 2))))) (pow v 2))
(fma.f64 H (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 7203/50 binary64) #s(literal 49/5 binary64)) (*.f64 v v))
(+ (* H (+ 49/5 (* H (+ (* -352947/250 (/ H (pow v 4))) (* 7203/50 (/ 1 (pow v 2))))))) (pow v 2))
(fma.f64 v v (*.f64 H (fma.f64 H (fma.f64 (/.f64 H (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -352947/250 binary64) (/.f64 #s(literal 7203/50 binary64) (*.f64 v v))) #s(literal 49/5 binary64))))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(* H (+ 98/5 (* 1/2 (/ (pow v 2) H))))
(*.f64 H (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))
(* H (+ 98/5 (+ (* 5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) (pow H 2))) (* 1/2 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 #s(literal 5/196 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 H H)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))
(* H (+ 98/5 (+ (* -25/38416 (/ (* (pow v 2) (- (pow v 4) (* 1/4 (pow v 4)))) (pow H 3))) (+ (* 5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) (pow H 2))) (* 1/2 (/ (pow v 2) H))))))
(*.f64 H (fma.f64 #s(literal -25/38416 binary64) (*.f64 (*.f64 v v) (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 H (*.f64 H H)))) (fma.f64 #s(literal 5/196 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 H H)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64)))))
(* -98/5 H)
(*.f64 #s(literal -98/5 binary64) H)
(* -1 (* H (+ 98/5 (* 1/2 (/ (pow v 2) H)))))
(neg.f64 (*.f64 H (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 v v) H) #s(literal 98/5 binary64))))
(* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1/2 (pow v 2)) (* -5/196 (/ (- (pow v 4) (* 1/4 (pow v 4))) H))) H)))))
(neg.f64 (*.f64 H (-.f64 #s(literal 98/5 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -5/196 binary64) (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))) H)) H))))
(* -1 (* H (+ 98/5 (* -1 (/ (+ (* -1 (/ (+ (* -25/38416 (/ (* (pow v 2) (- (pow v 4) (* 1/4 (pow v 4)))) H)) (* 5/196 (- (pow v 4) (* 1/4 (pow v 4))))) H)) (* -1/2 (pow v 2))) H)))))
(neg.f64 (*.f64 H (-.f64 #s(literal 98/5 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 v v) (*.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) H) #s(literal -25/38416 binary64)) (*.f64 #s(literal 5/196 binary64) (*.f64 #s(literal 3/4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (neg.f64 H))) H))))
(* 98/5 H)
(*.f64 H #s(literal 98/5 binary64))
(+ (* 1/2 (pow v 2)) (* 98/5 H))
(fma.f64 v (*.f64 v #s(literal 1/2 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(+ (* 98/5 H) (* (pow v 2) (+ 1/2 (* 15/784 (/ (pow v 2) H)))))
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (/.f64 #s(literal 15/784 binary64) H) #s(literal 1/2 binary64))) (*.f64 H #s(literal 98/5 binary64)))
(+ (* 98/5 H) (* (pow v 2) (+ 1/2 (* (pow v 2) (+ (* -75/153664 (/ (pow v 2) (pow H 2))) (* 15/784 (/ 1 H)))))))
(fma.f64 (*.f64 v v) (fma.f64 v (*.f64 v (fma.f64 (/.f64 (*.f64 v v) (*.f64 H H)) #s(literal -75/153664 binary64) (/.f64 #s(literal 15/784 binary64) H))) #s(literal 1/2 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* 49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (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))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (+ (* -49/10 (/ (* H (- (* 9604/25 (pow H 2)) (* 2401/25 (pow H 2)))) (pow v 6))) (+ (* 1/2 (/ (- (* 9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal -49/10 binary64) (/.f64 (*.f64 H (*.f64 (*.f64 H H) #s(literal 7203/25 binary64))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* 49/5 (/ H (pow v 2)))))
(*.f64 v (*.f64 v (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (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))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(* (pow v 2) (+ 1 (+ (* -49/10 (/ (* H (- (* 9604/25 (pow H 2)) (* 2401/25 (pow H 2)))) (pow v 6))) (+ (* 1/2 (/ (- (* 9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))))
(*.f64 (*.f64 v v) (fma.f64 #s(literal -49/10 binary64) (/.f64 (*.f64 H (*.f64 (*.f64 H H) #s(literal 7203/25 binary64))) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 H H) #s(literal 7203/25 binary64)) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))))

rewrite331.0ms (3.8%)

Memory
-22.1MiB live, 481.0MiB allocated
Rules
6 766×lower-fma.f32
6 758×lower-fma.f64
3 656×lower-*.f32
3 636×lower-*.f64
3 306×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046432
077243
1233233
21542233
08737232
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 1 131
Calls
Call 1
Inputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(sqrt.f64 (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 (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
#s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))
(atan.f64 (*.f64 (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))))
(/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))
(*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
(/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(*.f64 H #s(literal -98/5 binary64))
(fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))
(sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))))
Outputs
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (atan.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 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 #s(literal 0 binary64) (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 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))))
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v v)))))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(pow.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 #s(literal -98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 #s(literal -98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 941192/125 binary64) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 #s(literal -98/5 binary64) (*.f64 H (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v v))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 v (*.f64 v v))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v v))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)) (*.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v (*.f64 v v))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (*.f64 v (*.f64 v (*.f64 v v)))))))
(*.f64 (pow.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal 1/4 binary64)))

eval348.0ms (4%)

Memory
48.4MiB live, 572.2MiB allocated
Compiler

Compiled 108 415 to 6 668 computations (93.8% saved)

prune324.0ms (3.7%)

Memory
12.5MiB live, 557.1MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2 13992 148
Fresh9211
Picked325
Done000
Total2 151132 164
Accuracy
100.0%
Counts
2 164 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (neg.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)))))
32.6%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
▶18.5%
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
34.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 #s(literal -98/5 binary64) H)))))
▶66.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
66.1%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
36.4%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
▶34.4%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
▶34.5%
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
39.6%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
▶35.7%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
✓38.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Compiler

Compiled 419 to 246 computations (41.3% saved)

simplify366.0ms (4.2%)

Memory
-2.2MiB live, 369.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
cost-diff0
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
cost-diff0
(/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
cost-diff0
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
cost-diff0
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
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 (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))
cost-diff0
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
Rules
14 930×lower-fma.f32
14 926×lower-fma.f64
5 936×lower-*.f32
5 922×lower-*.f64
2 006×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055445
080427
1117405
2174401
3275401
4416401
5471401
6525401
7531401
8554401
9568401
10607401
11650401
12668401
13679401
14683401
15718401
16782401
17856401
181168401
191787401
202607401
213290401
224282401
235041401
246280401
257109401
267433401
277659401
287811401
297954401
08061392
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
(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 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(literal -98/5 binary64)
H
v
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
v
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
#s(literal -9604/25 binary64)
(*.f64 H H)
H
(fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))
#s(literal 98/5 binary64)
(*.f64 v v)
Outputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(atan.f64 (/.f64 v (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 v (sqrt.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)
(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 H #s(literal -98/5 binary64))
H
#s(literal -98/5 binary64)
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(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 (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
#s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -98/5 binary64) H)
(*.f64 H #s(literal -98/5 binary64))
#s(literal -98/5 binary64)
H
v
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))
(/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))
v
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
#s(literal -9604/25 binary64)
(*.f64 H H)
H
(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)
(*.f64 v v)

localize194.0ms (2.2%)

Memory
8.8MiB live, 272.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.3962979623180225
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
accuracy20.073716741015975
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
accuracy36.6007492216096
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
accuracy43.240415064330314
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)))
accuracy0.5078125
(*.f64 #s(literal -98/5 binary64) H)
accuracy0.6532415689463066
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
accuracy19.4864378418724
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
accuracy43.79310602810077
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
accuracy0.12890625
(/.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)
accuracy19.4864378418724
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
accuracy43.51454189031534
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
accuracy0
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
accuracy40.149909955259126
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))
accuracy0.0546875
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
accuracy0.078125
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
accuracy0.5078125
(*.f64 H #s(literal -98/5 binary64))
accuracy20.073716741015975
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
Samples
133.0ms250×0valid
14.0ms6×5exit
Compiler

Compiled 402 to 44 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-mult: 39.0ms (35.7% of total)
ival-sqrt: 27.0ms (24.7% of total)
ival-div: 14.0ms (12.8% of total)
const: 13.0ms (11.9% of total)
ival-atan: 9.0ms (8.2% of total)
ival-add: 5.0ms (4.6% of total)
adjust: 2.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series65.0ms (0.7%)

Memory
2.4MiB live, 83.2MiB allocated
Counts
24 → 528
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) (patch (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v) #<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 (atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))) (patch (atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)) (patch #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)) #<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 #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 (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) (patch (atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))) #<representation binary64>) () ())
#s(alt (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) (patch (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (patch (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (patch (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) #<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 -5/98 binary64) H) (patch (/.f64 #s(literal -5/98 binary64) H) #<representation binary64>) () ())
#s(alt #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)) (patch #s(approx (+ (* v v) (* H -98/5)) (*.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>) () ())
#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 49/5 (/ H (pow v 2)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (- (* -49/5 (/ H (pow v 2))) 1) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 49/5 (/ H (pow v 2)))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #<representation binary64>) () ())) ())
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#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (pow v 4) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (pow v 4) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor 0 H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor 0 H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor 0 H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor 0 H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) (patch (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)) #<representation binary64>) () ())) ())
Calls

132 calls:

TimeVariablePointExpression
1.0ms
H
@-inf
(/ (sqrt (+ (* v v) (* H -98/5))) v)
1.0ms
H
@inf
(/ (sqrt (+ (* v v) (* H -98/5))) v)
0.0ms
v
@-inf
(/ (sqrt (+ (* v v) (* H -98/5))) v)
0.0ms
H
@0
(/ -5/98 H)
0.0ms
H
@0
(/ (sqrt (+ (* v v) (* H -98/5))) v)

simplify623.0ms (7.2%)

Memory
-198.1MiB live, 474.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 304×lower-fma.f64
12 304×lower-fma.f32
7 494×lower-*.f64
7 494×lower-*.f32
3 986×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055710197
116319875
252879833
085229191
Stop Event
1×iter limit
1×node limit
Counts
528 → 524
Calls
Call 1
Inputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(+ (* -1 (/ (+ (* 125/1882384 (* (sqrt H) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* 1/2 (* (sqrt (/ 1 H)) (/ (* v (* (sqrt -1) (+ (* -625/368947264 (/ (* H (pow v 4)) (pow (sqrt 5/98) 2))) (* 625/92236816 (pow v 6))))) (sqrt 5/98))))) (pow H 3))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
-1
(- (* 49/5 (/ H (pow v 2))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
1
(+ 1 (* -49/5 (/ H (pow v 2))))
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(* (sqrt H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
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1
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1
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-1
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1
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v
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v
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(pow v 2)
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(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
(* -98/5 H)
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(pow v 2)
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(pow v 2)
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(* -98/5 H)
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(pow v 4)
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(pow v 4)
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(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
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(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
(* -9604/25 (pow H 2))
Outputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 #s(literal -25/19208 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 H H)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -7203/25 binary64) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -7203/25 binary64) (/.f64 (fma.f64 H (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(fma.f64 (/.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -7203/25 binary64) (/.f64 (fma.f64 H (*.f64 (*.f64 (*.f64 H H) #s(literal -7203/25 binary64)) #s(literal -49/5 binary64)) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 #s(literal 7203/50 binary64) (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))
(+ (* -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 (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))))))
(+ (* -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 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (fma.f64 #s(literal 625/368947264 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 v (sqrt.f64 #s(literal -5/98 binary64))))) (fma.f64 (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) v) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 v (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))
(+ (* -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 #s(literal -25/19208 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (*.f64 v (*.f64 v v)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))))) (fma.f64 #s(literal -125/1882384 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 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) H)) v) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 v (*.f64 v v))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 5/98 binary64))) (/.f64 (fma.f64 (sqrt.f64 H) (*.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 5/98 binary64))) #s(literal 125/1882384 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal -625/368947264 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal 5/98 binary64))) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 6 binary64)))) (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 5/98 binary64)))) (*.f64 H (*.f64 H (neg.f64 H))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (- (pow v 2) (* 98/5 H))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 H) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v))
(/ (+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5))) v)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) v)
(/ (+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5))))))))) v)
(/.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))) v)
1
#s(literal 1 binary64)
(+ 1 (* -49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))
(fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal -117649/250 binary64) (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (+ (* 49/5 (/ H (pow v 2))) (* 2401/50 (/ (pow H 2) (pow v 4)))) 1)
(fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 2401/50 binary64) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(- (+ (* 49/5 (/ H (pow v 2))) (+ (* 2401/50 (/ (pow H 2) (pow v 4))) (* 117649/250 (/ (pow H 3) (pow v 6))))) 1)
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 2401/50 binary64) (fma.f64 (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 117649/250 binary64) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (- (* -2401/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 (/.f64 H (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal -2401/50 binary64) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(+ 1 (* H (- (* H (- (* -117649/250 (/ H (pow v 6))) (* 2401/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (fma.f64 (/.f64 H (pow.f64 v #s(literal 6 binary64))) #s(literal -117649/250 binary64) (/.f64 #s(literal -2401/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt H) (/ (sqrt -98/5) v))
(*.f64 (sqrt.f64 H) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v)))))
(*.f64 H (fma.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64))))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 3) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 5) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ v (sqrt -98/5)))) (* (sqrt (/ 1 H)) (/ (sqrt -98/5) v))))))
(*.f64 H (fma.f64 (/.f64 (*.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 v #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (/.f64 (sqrt.f64 #s(literal -98/5 binary64)) v) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt H) (/ (* (sqrt -1) (sqrt 98/5)) v)))
(/.f64 (*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 98/5 binary64)))) (neg.f64 v))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v))))))
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) (*.f64 (/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))) (neg.f64 H))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 3) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 5) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* v (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (/ (* (sqrt -1) (sqrt 98/5)) v)))))))
(neg.f64 (*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (*.f64 v v) (*.f64 v (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 98/5 binary64))) #s(literal -5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 98/5 binary64)) v)) (*.f64 (/.f64 (*.f64 v (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 98/5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) #s(literal 1/2 binary64))))))))
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(fma.f64 (*.f64 v v) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 v v)) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 v v) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64))))) (*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (*.f64 v v)) (*.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(fma.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (/.f64 (*.f64 (*.f64 H H) #s(literal -2401/50 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))) v)
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(fma.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v)
(* -1 v)
(neg.f64 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(fma.f64 #s(literal 49/5 binary64) (*.f64 (/.f64 H (*.f64 v v)) v) (neg.f64 v))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(*.f64 (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))) (neg.f64 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))))))))
(neg.f64 (fma.f64 v (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 #s(literal -2401/50 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (*.f64 (*.f64 H (*.f64 H H)) #s(literal -117649/250 binary64)) (pow.f64 v #s(literal 6 binary64))))) v))
v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 #s(literal -2401/50 binary64) (/.f64 H (*.f64 v (*.f64 v v))) (/.f64 #s(literal -49/5 binary64) v)) v)
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal -117649/250 binary64) (/.f64 H (pow.f64 v #s(literal 5 binary64))) (/.f64 #s(literal -2401/50 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal -49/5 binary64) v)) v)
(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(*.f64 H (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 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 H (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 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 H (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64))))) (sqrt.f64 #s(literal -98/5 binary64))) #s(literal 5/784 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -98/5 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -98/5 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 v (/.f64 v (sqrt.f64 #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(*.f64 (sqrt.f64 H) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal 98/5 binary64)))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 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))))))
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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 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))))))
(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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1
#s(literal 1 binary64)
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(atan (* v (sqrt (/ 1 (+ (* -98/5 H) (pow v 2))))))
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1
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(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
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(/ (- (+ 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))
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(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
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(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* 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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(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(*.f64 v (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (*.f64 v v) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 #s(literal -25/19208 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
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-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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)
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1
#s(literal 1 binary64)
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt H) (sqrt -98/5))
(*.f64 (sqrt.f64 H) (sqrt.f64 #s(literal -98/5 binary64)))
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v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(fma.f64 (/.f64 H (*.f64 v v)) (*.f64 #s(literal -49/5 binary64) v) v)
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
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(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
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(* -1 v)
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(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
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v
(+ v (* -49/5 (/ H v)))
(fma.f64 #s(literal -49/5 binary64) (/.f64 H v) v)
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
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(* (sqrt H) (sqrt -98/5))
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(* H (+ (* -1/8 (* (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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(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
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(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
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(* -98/5 H)
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(pow v 2)
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(pow v 2)
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(pow v 2)
(*.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))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v 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))
(* -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))
(* -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))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(/ -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)
(/ -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)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(* -98/5 H)
(*.f64 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))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(*.f64 v (fma.f64 v (*.f64 H (/.f64 #s(literal -98/5 binary64) (*.f64 v v))) v))
(pow v 2)
(*.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))
(+ (* -98/5 H) (pow v 2))
(fma.f64 H #s(literal -98/5 binary64) (*.f64 v v))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v 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))
(* -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))
(* -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))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 (*.f64 H H) (/.f64 #s(literal -9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 H (*.f64 H (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H)))))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(* -9604/25 (pow H 2))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))

rewrite261.0ms (3%)

Memory
-6.9MiB live, 472.7MiB allocated
Rules
7 208×lower-fma.f32
7 204×lower-fma.f64
3 986×lower-*.f32
3 972×lower-*.f64
3 136×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055411
080387
1245360
21485300
08860295
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 391
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64))
(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))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))))
(sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))
(/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))
(*.f64 H #s(literal -98/5 binary64))
(/.f64 #s(literal -5/98 binary64) H)
#s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H))
(*.f64 #s(literal -98/5 binary64) H)
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H)))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 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 #s(literal 0 binary64) (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 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))))
(neg.f64 (/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))) (/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v)))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 (neg.f64 v) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
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(/.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -5/98 binary64) H)))
(/.f64 (neg.f64 H) #s(literal 5/98 binary64))
(pow.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -5/98 binary64) H) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 H #s(literal -98/5 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 #s(literal 98/5 binary64) (neg.f64 H))
(*.f64 #s(literal -1 binary64) (*.f64 H #s(literal 98/5 binary64)))
(*.f64 (neg.f64 H) #s(literal 98/5 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(neg.f64 (neg.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
(*.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))
(neg.f64 (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))
(/.f64 (*.f64 H #s(literal 98/5 binary64)) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(*.f64 H (neg.f64 (*.f64 #s(literal -98/5 binary64) (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 H (neg.f64 (*.f64 #s(literal 98/5 binary64) (*.f64 H #s(literal 98/5 binary64)))))
(*.f64 #s(literal -98/5 binary64) (*.f64 H (*.f64 H #s(literal 98/5 binary64))))
(*.f64 #s(literal -98/5 binary64) (neg.f64 (*.f64 H (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 H #s(literal 98/5 binary64)))
(*.f64 #s(literal 98/5 binary64) (*.f64 H (*.f64 H #s(literal -98/5 binary64))))
(*.f64 #s(literal 98/5 binary64) (neg.f64 (*.f64 H (*.f64 H #s(literal 98/5 binary64)))))
(*.f64 (*.f64 H #s(literal 98/5 binary64)) (*.f64 H #s(literal -98/5 binary64)))
(*.f64 #s(literal -9604/25 binary64) (*.f64 H H))
(*.f64 (*.f64 H H) #s(literal -9604/25 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 H H) #s(literal 9604/25 binary64)))
(*.f64 (neg.f64 H) (*.f64 #s(literal -98/5 binary64) (*.f64 H #s(literal -98/5 binary64))))
(*.f64 (neg.f64 H) (*.f64 #s(literal 98/5 binary64) (*.f64 H #s(literal 98/5 binary64))))
(*.f64 (*.f64 H (*.f64 H #s(literal 98/5 binary64))) #s(literal -98/5 binary64))
(*.f64 (*.f64 H #s(literal -9604/25 binary64)) H)
(*.f64 #s(literal 9604/25 binary64) (*.f64 H (neg.f64 H)))
(*.f64 (*.f64 H (neg.f64 H)) #s(literal 9604/25 binary64))
(*.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) H) #s(literal 98/5 binary64))
(*.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -98/5 binary64)) (neg.f64 H))
(*.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 98/5 binary64)) (neg.f64 H))
(*.f64 (neg.f64 (*.f64 H (*.f64 H #s(literal 98/5 binary64)))) #s(literal 98/5 binary64))
(*.f64 (neg.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) H)) #s(literal -98/5 binary64))
(*.f64 (neg.f64 (*.f64 (*.f64 H #s(literal -98/5 binary64)) #s(literal -98/5 binary64))) H)
(*.f64 (neg.f64 (*.f64 (*.f64 H #s(literal 98/5 binary64)) #s(literal 98/5 binary64))) H)

eval152.0ms (1.7%)

Memory
6.7MiB live, 154.6MiB allocated
Compiler

Compiled 21 339 to 2 262 computations (89.4% saved)

prune173.0ms (2%)

Memory
-1.1MiB live, 275.2MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New9087915
Fresh426
Picked325
Done022
Total91513928
Accuracy
100.0%
Counts
928 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
34.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 H #s(literal -98/5 binary64))))))
▶66.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
34.4%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.4%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) v))
▶17.8%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
▶34.4%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
✓34.5%
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
▶34.4%
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
▶39.6%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
✓35.7%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
✓38.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Compiler

Compiled 336 to 213 computations (36.6% saved)

simplify261.0ms (3%)

Memory
35.9MiB live, 335.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
cost-diff0
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
cost-diff384
(/.f64 H #s(literal -5/98 binary64))
cost-diff0
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
cost-diff0
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
cost-diff0
(/.f64 H (*.f64 v v))
cost-diff0
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
cost-diff0
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
cost-diff0
(/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)
cost-diff0
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
cost-diff384
(/.f64 H #s(literal -5/98 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))
Rules
6 810×lower-fma.f32
6 804×lower-fma.f64
3 484×lower-*.f32
3 468×lower-*.f64
2 532×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060507
088475
1138453
2207449
3311449
4469449
5521438
6627438
7719438
8816438
9883438
101129438
111266438
121313438
131450438
141919438
153002438
164872438
177984438
08004429
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)
(sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
(fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))
v
(/.f64 H #s(literal -5/98 binary64))
H
#s(literal -5/98 binary64)
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -49/5 binary64)
#s(literal -1 binary64)
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
H
#s(literal -5/98 binary64)
v
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))
(/.f64 H #s(literal -5/98 binary64))
H
#s(literal -5/98 binary64)
v
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))
v
(*.f64 H #s(literal 98/5 binary64))
H
#s(literal 98/5 binary64)
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(*.f64 H #s(literal -9604/25 binary64))
#s(literal -9604/25 binary64)
Outputs
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
(atan.f64 (/.f64 v (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 -5/98 binary64)))) v))
(/.f64 v (sqrt.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 -5/98 binary64)))) v)
(/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)
(sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
(sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))
(fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))
(fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))
v
(/.f64 H #s(literal -5/98 binary64))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -5/98 binary64)
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
H
(*.f64 v v)
v
#s(literal -49/5 binary64)
#s(literal -1 binary64)
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(/.f64 #s(literal -5/98 binary64) H)
(/.f64 #s(literal 1 binary64) H)
#s(literal 1 binary64)
H
#s(literal -5/98 binary64)
v
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)
(*.f64 v (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))
#s(literal 1 binary64)
#s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))
#s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))
(/.f64 H #s(literal -5/98 binary64))
(*.f64 H #s(literal -98/5 binary64))
H
#s(literal -5/98 binary64)
v
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)
(*.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))))
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
(fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))
v
(*.f64 H #s(literal 98/5 binary64))
H
#s(literal 98/5 binary64)
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(*.f64 H #s(literal -9604/25 binary64))
#s(literal -9604/25 binary64)

localize225.0ms (2.6%)

Memory
-1.3MiB live, 398.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5078125
(*.f64 H #s(literal 98/5 binary64))
accuracy19.4864378418724
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
accuracy40.548068883838724
(/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
accuracy43.240415064330314
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
accuracy0.17578125
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)
accuracy0.6532415689463066
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))
accuracy19.4864378418724
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))))
accuracy43.79310602810077
#s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))
accuracy0.17578125
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
accuracy0.265625
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
accuracy19.4864378418724
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
accuracy43.51454189031534
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
accuracy0
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
accuracy0.0546875
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
accuracy7.894659001891663
(/.f64 H (*.f64 v v))
accuracy38.22274833936795
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
accuracy0.0546875
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))
accuracy0.078125
(/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)
accuracy0.1171875
(/.f64 H #s(literal -5/98 binary64))
accuracy20.073716741015975
(sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
Samples
148.0ms250×0valid
11.0ms6×5exit
Compiler

Compiled 428 to 54 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 46.0ms (34.3% of total)
const: 40.0ms (29.8% of total)
ival-div: 16.0ms (11.9% of total)
ival-atan: 12.0ms (8.9% of total)
ival-sqrt: 9.0ms (6.7% of total)
ival-add: 8.0ms (6% of total)
adjust: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory
7.8MiB live, 82.4MiB allocated
Counts
25 → 564
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())
#s(alt (/.f64 H #s(literal -5/98 binary64)) (patch (/.f64 H #s(literal -5/98 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))) (patch (atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v) (patch (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())
#s(alt (atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) (patch (atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) (patch #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 H (*.f64 v v)) (patch (/.f64 H (*.f64 v v)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) (patch (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) #<representation binary64>) () ())
#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) (patch (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))) (patch (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) (patch (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) (patch #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))) (patch #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 H #s(literal 98/5 binary64)) (patch (*.f64 H #s(literal 98/5 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 49/5 (/ H (pow v 2)))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) (taylor inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (- (* -49/5 (/ H (pow v 2))) 1) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)) #<representation binary64>) () ())) ())
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#s(alt (atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4)))))) (taylor 0 H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor -inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor -inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor -inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (atan (* v (sqrt (/ (- (pow v 2) (* -98/5 H)) (- (pow v 4) (* 9604/25 (pow H 2))))))) (taylor -inf H) (#s(alt (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) (patch (atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98)))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98)))))))))) (taylor 0 v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))) (taylor inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))) (taylor inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (- (* -49/5 (/ H (pow v 2))) 1) (taylor -inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1) (taylor -inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1) (taylor -inf v) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 H) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 49/5 (/ H (pow v 2)))) (taylor 0 H) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2)))))) (taylor 0 H) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2)))))) (taylor 0 H) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 H)) (* v (sqrt -5/98))) (taylor inf H) (#s(alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<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 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<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 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) (patch (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2)) (taylor -inf v) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow v 2)) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2))) (taylor 0 H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor inf H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H) (taylor inf H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H) (taylor inf H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H) (taylor inf H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -5/98 H) (taylor -inf H) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 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) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 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) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 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) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor 0 v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow v 4) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow v 4) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4))))) (taylor -inf v) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow v 4) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -9604/25 (pow H 2)) (pow v 4)) (taylor 0 H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -9604/25 (pow H 2)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25)) (taylor -inf H) (#s(alt #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) (patch #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 98/5 H) (taylor 0 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 0 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 0 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 0 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 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 H #s(literal 98/5 binary64)) (patch (*.f64 H #s(literal 98/5 binary64)) #<representation binary64>) () ())) ())
Calls

141 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(* (sqrt (/ (+ (* v v) (* H 98/5)) (+ (* v (* v (* v v))) (* (* H H) -9604/25)))) v)
2.0ms
v
@inf
(+ (* (/ H (* v v)) -49/5) -1)
1.0ms
H
@inf
(+ (* (/ H (* v v)) -49/5) -1)
0.0ms
H
@0
(+ (* (/ H (* v v)) -49/5) -1)
0.0ms
H
@-inf
(/ H (* v v))

simplify367.0ms (4.2%)

Memory
-7.7MiB live, 519.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 170×lower-fma.f64
11 170×lower-fma.f32
7 138×lower-*.f64
7 138×lower-*.f32
3 132×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059410795
1173010421
2550310385
081549711
Stop Event
1×iter limit
1×node limit
Counts
564 → 562
Calls
Call 1
Inputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2)))))
(+ 1 (+ (* -1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (+ (* -1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))) (* 49/5 (/ H (pow v 2))))))
-1
(- (* -49/5 (/ H (pow v 2))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4)))) 1)
(- (+ (* -49/5 (/ H (pow v 2))) (+ (* 1/2 (/ (+ (* -941192/125 (pow H 3)) (* -49/5 (* H (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2)))))) (pow v 6))) (* 1/2 (/ (+ (* -9604/25 (pow H 2)) (* 2401/25 (pow H 2))) (pow v 4))))) 1)
1
(+ 1 (* 49/5 (/ H (pow v 2))))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(+ 1 (* H (+ (* H (+ (* 117649/50 (/ H (pow v 6))) (* 7203/50 (/ 1 (pow v 4))))) (* 49/5 (/ 1 (pow v 2))))))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98)))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 3) (sqrt -1)) (sqrt 5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 5) (sqrt -1)) (sqrt 5/98)))) (* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))))
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(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))) (pow v 2))
(/ (- (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 941192/125 (/ (pow H 3) (pow v 6))))) (* -9604/25 (/ (pow H 2) (pow v 4)))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 9604/25 (/ (pow H 2) (pow v 4))))) (pow v 2))
(/ (- (+ 1 (+ (* 98/5 (/ H (pow v 2))) (* 941192/125 (/ (pow H 3) (pow v 6))))) (* -9604/25 (/ (pow H 2) (pow v 4)))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -125/941192 (/ (pow v 4) (pow H 2)))) 5/98) H)
(/ (- (+ (* -25/9604 (/ (pow v 2) H)) (* -625/92236816 (/ (pow v 6) (pow H 3)))) (+ 5/98 (* 125/941192 (/ (pow v 4) (pow H 2))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (+ (* -25/9604 (pow v 2)) (* -125/941192 (/ (pow v 4) H))) 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 H) (sqrt -98/5))
(+ (* 1/2 (* (sqrt (/ 1 H)) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt H) (sqrt -98/5)))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (pow (sqrt -98/5) 3)))) (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))))))
(+ (* (sqrt H) (sqrt -98/5)) (* (pow v 2) (+ (* 1/2 (* (sqrt (/ 1 H)) (/ 1 (sqrt -98/5)))) (* (pow v 2) (+ (* -1/8 (* (sqrt (/ 1 (pow H 3))) (/ 1 (pow (sqrt -98/5) 3)))) (* 1/16 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 2) (pow (sqrt -98/5) 5)))))))))
v
(* v (+ 1 (* -49/5 (/ H (pow v 2)))))
(* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))
(* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 v)
(* -1 (* v (+ 1 (* -49/5 (/ H (pow v 2))))))
(* -1 (* v (+ 1 (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2)))))))
(* -1 (* v (+ 1 (+ (* -117649/250 (/ (pow H 3) (pow v 6))) (+ (* -2401/50 (/ (pow H 2) (pow v 4))) (* -49/5 (/ H (pow v 2))))))))
v
(+ v (* -49/5 (/ H v)))
(+ v (* H (- (* -2401/50 (/ H (pow v 3))) (* 49/5 (/ 1 v)))))
(+ v (* H (- (* H (- (* -117649/250 (/ H (pow v 5))) (* 2401/50 (/ 1 (pow v 3))))) (* 49/5 (/ 1 v)))))
(* (sqrt H) (sqrt -98/5))
(* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5)))))
(* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 4) (pow (sqrt -98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (pow v 6) (pow (sqrt -98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -98/5)))) (* (sqrt (/ 1 H)) (sqrt -98/5))))))
(* -1 (* (sqrt H) (* (sqrt -1) (sqrt 98/5))))
(* -1 (* H (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5)))))))
(* -1 (* H (+ (* -1/8 (* (sqrt (/ 1 (pow H 5))) (/ (* (pow v 4) (sqrt -1)) (pow (sqrt 98/5) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow H 7))) (/ (* (pow v 6) (sqrt -1)) (pow (sqrt 98/5) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow H 3))) (/ (* (pow v 2) (sqrt -1)) (sqrt 98/5)))) (* (sqrt (/ 1 H)) (* (sqrt -1) (sqrt 98/5))))))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -98/5 H)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(* (pow v 2) (+ 1 (* -98/5 (/ H (pow v 2)))))
(pow v 2)
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(+ (* -98/5 H) (pow v 2))
(* -98/5 H)
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* H (- (/ (pow v 2) H) 98/5))
(* -98/5 H)
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(/ -5/98 H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(- (* (pow v 2) (- (* (pow v 2) (- (* -625/92236816 (/ (pow v 2) (pow H 4))) (* 125/941192 (/ 1 (pow H 3))))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/ (- (+ 1 (* 941192/125 (/ (pow H 3) (pow v 6)))) (+ (* -9604/25 (/ (pow H 2) (pow v 4))) (* -98/5 (/ H (pow v 2))))) (pow v 2))
(/ 1 (pow v 2))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(/ -5/98 H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/ (- (* -125/941192 (/ (pow v 4) (pow H 2))) (+ 5/98 (* 25/9604 (/ (pow v 2) H)))) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/ -5/98 H)
(* -1 (/ (+ 5/98 (* 25/9604 (/ (pow v 2) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -125/941192 (/ (pow v 4) H)) (* 25/9604 (pow v 2))) H))) H))
(* -1 (/ (+ 5/98 (* -1 (/ (- (* -1 (/ (- (* 625/92236816 (/ (pow v 6) H)) (* -125/941192 (pow v 4))) H)) (* 25/9604 (pow v 2))) H))) H))
(* -9604/25 (pow H 2))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(pow v 4)
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* -9604/25 (pow H 2))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
(* 98/5 H)
Outputs
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(* v (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 2) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (sqrt -5/98))))
(*.f64 v (fma.f64 (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3))))) (sqrt -5/98)))) (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98))))))))
(*.f64 v (fma.f64 (*.f64 v v) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 H) (*.f64 (*.f64 v v) (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))))) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)))))
(* v (+ (* (sqrt (/ 1 H)) (sqrt -5/98)) (* (pow v 2) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ 1 (sqrt -5/98)))) (* (pow v 2) (+ (* -1/2 (* (sqrt H) (/ (* (pow v 2) (+ (* 25/19208 (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (* H (pow (sqrt -5/98) 2)))) (* 625/92236816 (/ 1 (pow H 4))))) (sqrt -5/98)))) (* -1/2 (* (sqrt H) (/ (+ (* 625/368947264 (/ 1 (* (pow H 3) (pow (sqrt -5/98) 2)))) (* 125/941192 (/ 1 (pow H 3)))) (sqrt -5/98))))))))))
(*.f64 v (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (sqrt.f64 #s(literal -5/98 binary64)) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 H)) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) H) #s(literal -5/196 binary64) (/.f64 #s(literal 625/92236816 binary64) (pow.f64 H #s(literal 4 binary64)))) (/.f64 (*.f64 v v) (sqrt.f64 #s(literal -5/98 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -125/3764768 binary64) (*.f64 H (*.f64 H H))) (/.f64 #s(literal 125/941192 binary64) (*.f64 H (*.f64 H H)))) (sqrt.f64 #s(literal -5/98 binary64))))) (/.f64 (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H))))) (sqrt.f64 #s(literal -5/98 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 H (*.f64 H #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.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) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (fma.f64 H (*.f64 #s(literal -49/5 binary64) (*.f64 H (*.f64 H #s(literal -7203/25 binary64)))) (*.f64 H (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -49/5 (/ H (pow v 2))) 1)
(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.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 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 H (*.f64 H #s(literal -7203/25 binary64))) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1/2 binary64) #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 #s(literal 1/2 binary64) (fma.f64 (*.f64 H H) (/.f64 #s(literal -7203/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 (fma.f64 H (*.f64 #s(literal -49/5 binary64) (*.f64 H (*.f64 H #s(literal -7203/25 binary64)))) (*.f64 H (*.f64 (*.f64 H H) #s(literal -941192/125 binary64)))) (pow.f64 v #s(literal 6 binary64)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 49/5 (/ H (pow v 2))))
(fma.f64 H (/.f64 #s(literal 49/5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(+ 1 (* H (+ (* 7203/50 (/ H (pow v 4))) (* 49/5 (/ 1 (pow v 2))))))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #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 H (fma.f64 H (fma.f64 #s(literal 117649/50 binary64) (/.f64 H (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 7203/50 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 49/5 binary64) (*.f64 v v))) #s(literal 1 binary64))
(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))))
(+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) (*.f64 #s(literal -25/19208 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))))))
(+ (* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64)) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow H 7))) (/ (* v (+ (* 625/368947264 (/ (* H (pow v 4)) (pow (sqrt -5/98) 2))) (* 625/92236816 (pow v 6)))) (sqrt -5/98)))) (+ (* -25/19208 (* (sqrt (/ 1 (pow H 3))) (/ (pow v 3) (sqrt -5/98)))) (+ (* -125/1882384 (* (sqrt (/ 1 (pow H 5))) (/ (pow v 5) (sqrt -5/98)))) (* (sqrt (/ 1 H)) (* v (sqrt -5/98))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 H #s(literal -5/98 binary64))) (*.f64 #s(literal 625/368947264 binary64) v) (*.f64 #s(literal 625/92236816 binary64) (pow.f64 v #s(literal 7 binary64))))) (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) H)) (*.f64 v (sqrt.f64 #s(literal -5/98 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 H (*.f64 H H)))) (*.f64 (/.f64 (*.f64 v (*.f64 v v)) (sqrt.f64 #s(literal -5/98 binary64))) #s(literal -25/19208 binary64)) (*.f64 #s(literal -125/1882384 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 H #s(literal 5 binary64)))) (pow.f64 v #s(literal 5 binary64))) (sqrt.f64 #s(literal -5/98 binary64)))))))
(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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1
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1
#s(literal 1 binary64)
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
(atan.f64 (*.f64 v (sqrt.f64 (/.f64 (fma.f64 H #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))))))
(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (+ (* -9604/25 (pow H 2)) (pow v 4))))))
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
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(atan (* v (sqrt (/ (+ (* 98/5 H) (pow v 2)) (- (pow v 4) (* 9604/25 (pow H 2)))))))
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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1
#s(literal 1 binary64)
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-1
#s(literal -1 binary64)
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(fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))
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1
#s(literal 1 binary64)
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(* (sqrt (/ 1 H)) (* v (sqrt -5/98)))
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(* (sqrt (/ 1 H)) (* v (* (sqrt -1) (sqrt 5/98))))
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(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* H (- (/ (pow v 2) H) 98/5))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -98/5 H)
(*.f64 H #s(literal -98/5 binary64))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(* -1 (* H (+ 98/5 (* -1 (/ (pow v 2) H)))))
(*.f64 H (fma.f64 v (/.f64 v H) #s(literal -98/5 binary64)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(- (* -25/9604 (/ (pow v 2) (pow H 2))) (* 5/98 (/ 1 H)))
(/.f64 (fma.f64 (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) H) #s(literal -5/98 binary64)) H)
(- (* (pow v 2) (- (* -125/941192 (/ (pow v 2) (pow H 3))) (* 25/9604 (/ 1 (pow H 2))))) (* 5/98 (/ 1 H)))
(fma.f64 (*.f64 v v) (fma.f64 #s(literal -125/941192 binary64) (/.f64 (*.f64 v v) (*.f64 H (*.f64 H H))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (/.f64 #s(literal -5/98 binary64) 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)))
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (*.f64 v v) (pow.f64 H #s(literal 4 binary64))) (/.f64 #s(literal -125/941192 binary64) (*.f64 H (*.f64 H H)))) (/.f64 #s(literal -25/9604 binary64) (*.f64 H H))) (/.f64 #s(literal -5/98 binary64) H))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (*.f64 v v))
(/ (- (+ 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))
(/.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)))) (*.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (* 98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)) (*.f64 v v))
(/ (- (+ 1 (* 9604/25 (/ (pow H 2) (pow v 4)))) (* -98/5 (/ H (pow v 2)))) (pow v 2))
(/.f64 (fma.f64 H (/.f64 #s(literal 98/5 binary64) (*.f64 v v)) (fma.f64 (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 9604/25 binary64) #s(literal 1 binary64))) (*.f64 v v))
(/ (- (+ 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))
(/.f64 (fma.f64 (*.f64 H H) (/.f64 #s(literal 9604/25 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (fma.f64 (/.f64 (*.f64 H (*.f64 H H)) (pow.f64 v #s(literal 6 binary64))) #s(literal 941192/125 binary64) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal 98/5 binary64) #s(literal 1 binary64)))) (*.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(+ (* 98/5 (/ H (pow v 4))) (/ 1 (pow v 2)))
(fma.f64 H (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ (* H (+ (* 9604/25 (/ H (pow v 6))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ (* H (+ (* H (+ (* 941192/125 (/ H (pow v 8))) (* 9604/25 (/ 1 (pow v 6))))) (* 98/5 (/ 1 (pow v 4))))) (/ 1 (pow v 2)))
(fma.f64 H (fma.f64 H (fma.f64 #s(literal 941192/125 binary64) (/.f64 H (pow.f64 v #s(literal 8 binary64))) (/.f64 #s(literal 9604/25 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 #s(literal 98/5 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (*.f64 v v)))
(/ -5/98 H)
(/.f64 #s(literal -5/98 binary64) H)
(/ (- (* -25/9604 (/ (pow v 2) H)) 5/98) H)
(/.f64 (fma.f64 (*.f64 v v) (/.f64 #s(literal -25/9604 binary64) H) #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 #s(literal -5/98 binary64) (/.f64 (fma.f64 v (*.f64 v #s(literal -25/9604 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H))) H)) H)
(/ (- (* -625/92236816 (/ (pow v 6) (pow H 3))) (+ 5/98 (+ (* 125/941192 (/ (pow v 4) (pow H 2))) (* 25/9604 (/ (pow v 2) H))))) H)
(/.f64 (+.f64 (fma.f64 #s(literal -625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 H (*.f64 H H))) #s(literal -5/98 binary64)) (/.f64 (fma.f64 v (*.f64 v #s(literal -25/9604 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H))) H)) 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 v v) (/.f64 #s(literal -25/9604 binary64) H) #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 v (*.f64 v #s(literal -25/9604 binary64)) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (/.f64 #s(literal -125/941192 binary64) H))) 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 v (*.f64 v #s(literal -25/9604 binary64)) (/.f64 (fma.f64 #s(literal 625/92236816 binary64) (/.f64 (pow.f64 v #s(literal 6 binary64)) H) (*.f64 #s(literal 125/941192 binary64) (*.f64 (*.f64 v v) (*.f64 v v)))) (neg.f64 H))) H)) H)
(* -9604/25 (pow H 2))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(* (pow v 4) (+ 1 (* -9604/25 (/ (pow H 2) (pow v 4)))))
(*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (fma.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 H H) (*.f64 (*.f64 v v) (*.f64 v v))) #s(literal 1 binary64)))
(pow v 4)
(*.f64 (*.f64 v v) (*.f64 v v))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(+ (* -9604/25 (pow H 2)) (pow v 4))
(fma.f64 H (*.f64 H #s(literal -9604/25 binary64)) (*.f64 (*.f64 v v) (*.f64 v v)))
(* -9604/25 (pow H 2))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H))))
(* -9604/25 (pow H 2))
(*.f64 H (*.f64 H #s(literal -9604/25 binary64)))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H H))))
(* (pow H 2) (- (/ (pow v 4) (pow H 2)) 9604/25))
(*.f64 (*.f64 H H) (+.f64 #s(literal -9604/25 binary64) (/.f64 (*.f64 (*.f64 v v) (*.f64 v v)) (*.f64 H 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))
(* 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))
(* 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))

rewrite243.0ms (2.8%)

Memory
17.5MiB live, 330.3MiB allocated
Rules
4 968×lower-fma.f32
4 962×lower-fma.f64
4 822×lower-/.f32
4 808×lower-/.f64
3 924×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060458
088409
1311382
21918322
08521317
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 431
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v))
(/.f64 H #s(literal -5/98 binary64))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
(/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
#s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64)))
(fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))
(/.f64 H (*.f64 v v))
(*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v)
(sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v)
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v)
(sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))))
(/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))
(sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64))))
#s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))
#s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64))))
(*.f64 H #s(literal 98/5 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(neg.f64 (/.f64 v (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (*.f64 v #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))))) (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) (/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
(/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(/.f64 (neg.f64 v) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
(/.f64 (/.f64 v (sqrt.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (/.f64 #s(literal 1 binary64) v))
(/.f64 (neg.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 v)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))))
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(/.f64 (*.f64 v #s(literal 1 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal -98/5 binary64)) (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v)))))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))
(*.f64 (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) (*.f64 (*.f64 H (*.f64 H H)) #s(literal -941192/125 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))))
(*.f64 (pow.f64 (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H #s(literal 98/5 binary64)) (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(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))
(exp.f64 (log.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1 binary64))
#s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))
(pow.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1 binary64))
(*.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal 1 binary64))
(exp.f64 (neg.f64 (log.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))))
(pow.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))))
#s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))
(*.f64 H #s(literal 98/5 binary64))
(*.f64 #s(literal 98/5 binary64) H)

eval212.0ms (2.4%)

Memory
-42.3MiB live, 265.9MiB allocated
Compiler

Compiled 24 441 to 2 515 computations (89.7% saved)

prune164.0ms (1.9%)

Memory
32.8MiB live, 305.5MiB allocated
Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New1 02211 023
Fresh044
Picked055
Done044
Total1 022141 036
Accuracy
100.0%
Counts
1 036 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.6%
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
✓66.2%
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
34.5%
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 H #s(literal -98/5 binary64))))))
✓66.2%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
34.4%
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) v)))
34.4%
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) v))
✓17.8%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
✓34.4%
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) v))
✓34.5%
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))) v))
✓34.4%
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
✓39.6%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
21.4%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(approx (+ (* (/ H (* v v)) -49/5) -1) (/.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -49/5 binary64))) (*.f64 v v)))))
✓35.7%
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
✓38.8%
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64)))
Compiler

Compiled 777 to 296 computations (61.9% saved)

regimes55.0ms (0.6%)

Memory
-14.5MiB live, 103.5MiB allocated
Counts
34 → 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 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(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 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(approx (+ (* (/ H (* v v)) -49/5) -1) (/.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -49/5 binary64))) (*.f64 v v)))))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (/.f64 v (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (/.f64 H #s(literal -5/98 binary64))))) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64)))) v)))
(atan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))) (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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) v)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
(atan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (/.f64 H #s(literal -5/98 binary64)))) v)))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 #s(approx (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (*.f64 #s(literal -9604/25 binary64) (*.f64 H H))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))))))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal 98/5 binary64))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal -9604/25 binary64)))))) v))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64))) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))))))
(atan.f64 (/.f64 v (sqrt.f64 (*.f64 (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)) (*.f64 (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))))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))))) (*.f64 (neg.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)))))
(atan.f64 (/.f64 v (/.f64 (sqrt.f64 (-.f64 (*.f64 H (*.f64 H #s(literal 9604/25 binary64))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (-.f64 (*.f64 H #s(literal -98/5 binary64)) (*.f64 v v))))))
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (/.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (fma.f64 H (*.f64 #s(literal 98/5 binary64) (fma.f64 v v (*.f64 H #s(literal 98/5 binary64)))) (*.f64 v (*.f64 v (*.f64 v v)))))))))
(atan.f64 (/.f64 v (*.f64 (sqrt.f64 (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))) (sqrt.f64 (*.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) (*.f64 H (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))))))
(atan.f64 (/.f64 v (sqrt.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 (*.f64 H H) #s(literal -9604/25 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 98/5 binary64) H (*.f64 v v)))) (fma.f64 v (*.f64 v (*.f64 v v)) (*.f64 H (*.f64 H #s(literal 9604/25 binary64))))))))
(atan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (neg.f64 v))) (*.f64 (neg.f64 (sqrt.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 (sqrt.f64 (fma.f64 v v (*.f64 H #s(literal -98/5 binary64)))) (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 H #s(literal -98/5 binary64))))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

5 calls:

12.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
12.0ms
H
10.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
9.0ms
v
8.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
Results
AccuracySegmentsBranch
99.9%3v
72.5%3H
80.7%3(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
80.7%3(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
72.5%3(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes5.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB 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 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
(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 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 #s(literal -98/5 binary64) H)))))
(atan.f64 (/.f64 v (sqrt.f64 #s(approx (/ (+ (* v (* v (* v v))) (* (* H H) -9604/25)) (+ (* 98/5 H) (* v v))) (*.f64 H #s(literal -98/5 binary64))))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(approx (+ (* (/ H (* v v)) -49/5) -1) (/.f64 (fma.f64 v (neg.f64 v) (*.f64 H #s(literal -49/5 binary64))) (*.f64 v v)))))
(atan.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (*.f64 (/.f64 #s(literal 1 binary64) H) #s(literal -5/98 binary64)))) v))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* v v) (* H -98/5)) (*.f64 #s(literal -98/5 binary64) H)))) v))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ (* v v) (* H -98/5)) (*.f64 H #s(literal -98/5 binary64))))) v))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(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:

4.0ms
v
Results
AccuracySegmentsBranch
91.2%3v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-15.6MiB live, 21.7MiB 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 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) #s(literal 1 binary64)))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (* (sqrt (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))))))) (fma.f64 (/.f64 H (*.f64 v v)) #s(literal -49/5 binary64) #s(literal -1 binary64))))
Outputs
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) 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
56.5%2(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
56.5%2(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
73.1%2v
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 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 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* v v))))) (sqrt (* (+ (* v v) (* H -98/5)) (/ 1 (+ (* 98/5 (* H (+ (* 98/5 H) (* v v)))) (* v (* v (* 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

1 calls:

2.0ms
v
Results
AccuracySegmentsBranch
72.8%2v
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
1.0ms
H
1.0ms
v
1.0ms
(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
1.0ms
(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
Results
AccuracySegmentsBranch
38.8%1(atan.f64 (/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)))))
38.8%1(/.f64 v (sqrt.f64 (-.f64 (*.f64 v v) (*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H))))
38.8%1H
38.8%1(*.f64 (*.f64 #s(literal 2 binary64) #s(literal 49/5 binary64)) H)
38.8%1v
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch43.0ms (0.5%)

Memory
-44.2MiB live, 48.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
30.0ms
1.019764381345137e+89
6.6274056648485e+94
10.0ms
-8.246897278587371e+156
-9.390913954462803e+151
Samples
32.0ms208×0valid
0.0ms4×0invalid
Compiler

Compiled 265 to 198 computations (25.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 13.0ms (51.6% of total)
ival-mult: 4.0ms (15.9% of total)
const: 3.0ms (11.9% of total)
ival-atan: 2.0ms (7.9% of total)
ival-sqrt: 2.0ms (7.9% of total)
ival-sub: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch42.0ms (0.5%)

Memory
37.2MiB live, 73.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.9773044637149398e-23
2.1061647782474156e-21
21.0ms
-2.291483881373237e-67
-2.879504126264548e-73
Samples
23.0ms256×0valid
4.0ms48×0invalid
Compiler

Compiled 353 to 260 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (41.3% of total)
const: 4.0ms (20.6% of total)
ival-div: 2.0ms (10.3% of total)
ival-atan: 2.0ms (10.3% of total)
ival-sqrt: 2.0ms (10.3% of total)
ival-sub: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch35.0ms (0.4%)

Memory
-12.2MiB live, 58.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-1.5575715997972062e-123
-8.773961804007246e-143
Samples
15.0ms160×0valid
10.0ms63×0invalid
Compiler

Compiled 208 to 156 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 9.0ms (47.5% of total)
ival-sub: 3.0ms (15.8% of total)
const: 3.0ms (15.8% of total)
ival-sqrt: 2.0ms (10.6% of total)
ival-div: 1.0ms (5.3% of total)
ival-atan: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory
-9.5MiB live, 36.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
27.0ms
-2.0260735291690485e-304
-1.126457135761109e-306
Samples
16.0ms112×0valid
5.0ms72×0invalid
Compiler

Compiled 102 to 86 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 11.0ms (64.8% of total)
const: 2.0ms (11.8% of total)
ival-div: 1.0ms (5.9% of total)
ival-atan: 1.0ms (5.9% of total)
ival-sub: 1.0ms (5.9% of total)
ival-sqrt: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056182
161182
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 v #s(literal -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 65999999999999999852307280154645199824313749220942390393237468789529044624821769116385997225984 binary64)) (atan.f64 (/.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)))))
(if (<=.f64 v #s(literal -6829695324231079/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (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 -7541891960592711/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -7273830978231475/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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 -20000000000000000738950913761164530819618359659685376903845557104301087318694439194433026219410816654893023507374465334628674006699146808342092384896548864 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal -1 binary64))) (if (<=.f64 v #s(literal 65999999999999999852307280154645199824313749220942390393237468789529044624821769116385997225984 binary64)) (atan.f64 (/.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)))))
(if (<=.f64 v #s(literal -6829695324231079/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (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 -6829695324231079/30354201441027016733116592294117482916287606860189680019559568902170379456331382784 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) (if (<=.f64 v #s(literal 3934514867523351/10633823966279326983230456482242756608 binary64)) (atan.f64 (*.f64 v (sqrt.f64 #s(approx (/ 1 (+ (* v v) (* H -98/5))) (/.f64 #s(literal -5/98 binary64) H))))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64)))))
(if (<=.f64 v #s(literal -7541891960592711/418993997810706159361688281193932691483730181893512293053861295116305125939798343025058571817715732115313495568327689089179808837873330310826051531440128 binary64)) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) (fma.f64 H (/.f64 #s(literal -49/5 binary64) (*.f64 v v)) #s(literal -1 binary64)))) (atan.f64 #s(approx (/ v (sqrt (- (* v v) (* (* 2 49/5) H)))) #s(literal 1 binary64))))
(if (<=.f64 v #s(literal -7273830978231475/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 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)))

soundness490.0ms (5.7%)

Memory
-5.2MiB live, 386.8MiB allocated
Rules
10 380×lower-fma.f64
10 380×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
03231843
19331797
231661774
372391741
082561626
083311472
1254910992
0823410275
01140
01940
15040
227540
3226040
0897836
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 184 to 119 computations (35.3% saved)

preprocess77.0ms (0.9%)

Memory
-18.0MiB live, 113.4MiB allocated
Compiler

Compiled 200 to 102 computations (49% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...