Toniolo and Linder, Equation (7)

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze559.0ms (4.9%)

Memory
-5.3MiB live, 363.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
0%0%99.9%0.1%0%0%0%7
0%0%74.9%0.1%0%25%0%8
4.2%3.1%71.8%0.1%0%25%0%9
6.3%4.7%70.2%0.1%0%25%0%10
11.3%7%55.4%0.1%0%37.4%0%11
16.9%10.5%51.9%0.1%0%37.4%0%12
Compiler

Compiled 29 to 20 computations (31% saved)

sample3.3s (29.1%)

Memory
59.2MiB live, 3 720.0MiB allocated
Samples
797.0ms2 700×1valid
732.0ms5 372×0valid
349.0ms1 649×1invalid
343.0ms2 723×0invalid
69.0ms184×2valid
22.0ms82×2invalid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 561.0ms (30.4% of total)
ival-add: 306.0ms (16.6% of total)
ival-sqrt: 255.0ms (13.8% of total)
adjust: 251.0ms (13.6% of total)
ival-sub: 222.0ms (12% of total)
ival-div: 221.0ms (12% of total)
exact: 14.0ms (0.8% of total)
ival-true: 10.0ms (0.5% of total)
ival-assert: 6.0ms (0.3% of total)
Bogosity

explain313.0ms (2.8%)

Memory
-2.0MiB live, 234.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-1(5.222511681710972e+241 -3.671032374289567e-216 -1.5923007971126205e-161)(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
1050-0-(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
00-0-(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
00-0-#s(literal 1 binary64)
00-0-t
00-0-(*.f64 #s(literal 2 binary64) (*.f64 t t))
00-0-(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 l l)
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
00-0-(*.f64 t t)
00-0-#s(literal 2 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-l
00-0-(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))oflow-rescue1050
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))overflow105
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))overflow123
(*.f64 #s(literal 2 binary64) (*.f64 t t))overflow89
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))overflow123
(*.f64 t t)overflow89
(*.f64 l l)overflow122
-.f64(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))nan-rescue610
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))overflow123
(*.f64 #s(literal 2 binary64) (*.f64 t t))overflow89
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))overflow123
(*.f64 t t)overflow89
(*.f64 l l)overflow61
(*.f64 l l)overflow61
-.f64(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))cancellation441
sqrt.f64(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))uflow-rescue150
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))underflow15
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))underflow6
(*.f64 #s(literal 2 binary64) (*.f64 t t))underflow38
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))underflow6
(*.f64 t t)underflow38
(*.f64 l l)underflow130
Confusion
Predicted +Predicted -
+1821
-073
Precision
1.0
Recall
0.994535519125683
Confusion?
Predicted +Predicted MaybePredicted -
+18201
-0172
Precision?
0.994535519125683
Recall?
0.994535519125683
Freqs
test
numberfreq
074
1139
243
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms314×0valid
41.0ms184×1valid
5.0ms14×2valid
Compiler

Compiled 293 to 58 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 16.0ms (28.9% of total)
ival-div: 9.0ms (16.2% of total)
ival-sqrt: 9.0ms (16.2% of total)
ival-sub: 7.0ms (12.6% of total)
adjust: 7.0ms (12.6% of total)
ival-add: 7.0ms (12.6% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess307.0ms (2.7%)

Memory
26.8MiB live, 210.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067250
1221248
2650246
32213246
47212246
01827
03127
15827
211327
321427
444327
596627
6237127
7575027
0815926
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
Symmetry

(abs l)

(negabs t)

Compiler

Compiled 27 to 18 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify342.0ms (3%)

Memory
-25.7MiB live, 193.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
cost-diff1
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018131
031131
158131
2113131
3214131
4443131
5966131
62371131
75750131
08159126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 t t)
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
(fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) (*.f64 t t))
(*.f64 (*.f64 t t) #s(literal 2 binary64))
(*.f64 t t)

localize71.0ms (0.6%)

Memory
12.1MiB live, 86.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10775375976844202
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
accuracy0.421875
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy22.9929619326284
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
accuracy28.25648613132824
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
Samples
31.0ms157×0valid
25.0ms92×1valid
2.0ms2valid
Compiler

Compiled 133 to 20 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 20.0ms (44.9% of total)
adjust: 8.0ms (17.9% of total)
ival-div: 4.0ms (9% of total)
ival-sqrt: 4.0ms (9% of total)
ival-add: 4.0ms (9% of total)
ival-sub: 3.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series99.0ms (0.9%)

Memory
-18.5MiB live, 64.3MiB allocated
Counts
6 → 87
Calls
Call 1
Inputs
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
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(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1)))
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(pow l 2)
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2)))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
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(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
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(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
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(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
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Calls

9 calls:

TimeVariablePointExpression
39.0ms
t
@-inf
((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
15.0ms
x
@0
((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
7.0ms
l
@0
((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
7.0ms
t
@0
((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))
6.0ms
x
@-inf
((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))

simplify310.0ms (2.7%)

Memory
27.1MiB live, 216.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06769425
123328299
087557937
Stop Event
iter limit
node limit
Counts
87 → 87
Calls
Call 1
Inputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
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(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
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(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
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(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))
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(* 2 (pow t 2))
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(+ (* 2 (pow t 2)) (pow l 2))
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
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(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l))
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))))
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 l t) (/.f64 l t) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 t t))) (*.f64 t t))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 t #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))

rewrite350.0ms (3.1%)

Memory
-12.1MiB live, 308.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01885
03185
111685
292884
0889780
Stop Event
iter limit
node limit
iter limit
Counts
6 → 417
Calls
Call 1
Inputs
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))
Outputs
(*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l))))
(*.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))))))
(*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64))))
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(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))) (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 3 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))) (/.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))
(-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))
(+.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))
(+.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))) (neg.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 3 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)) (*.f64 l l)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 l l) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))
(+.f64 (*.f64 (neg.f64 l) l) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l))

eval407.0ms (3.6%)

Memory
-1.4MiB live, 155.4MiB allocated
Compiler

Compiled 28 305 to 2 441 computations (91.4% saved)

prune33.0ms (0.3%)

Memory
-8.1MiB live, 69.0MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New47727504
Fresh000
Picked101
Done000
Total47827505
Accuracy
88.8%
Counts
505 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
21.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l))))
15.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))
27.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
11.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
15.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
11.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
30.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
35.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
27.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
2.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
50.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
49.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
38.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
37.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
44.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
60.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
74.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
4.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
71.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
35.2%
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
35.2%
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
37.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
73.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
5.6%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
4.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
70.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 2 136 to 1 346 computations (37% saved)

simplify150.0ms (1.3%)

Memory
39.8MiB live, 192.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
cost-diff1
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))
cost-diff2
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff4
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060714
097702
1171692
2301672
3573672
41303672
53039672
67294672
08225667
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
(*.f64 l l)
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t))
(/.f64 (*.f64 t t) x)
(*.f64 t t)
x
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))
(/.f64 (*.f64 l l) x)
(*.f64 l l)
l
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
(sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l))))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)))
(*.f64 (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
(*.f64 l l)
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 t t))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 t t)))))
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 t t))))
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 t t)))
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t))
(*.f64 (+.f64 (/.f64 t x) t) t)
(/.f64 (*.f64 t t) x)
(*.f64 t t)
x
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))))
(/.f64 (*.f64 l l) x)
(*.f64 l l)
l
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
(/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l)) x)
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))
(fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 l l))

localize297.0ms (2.6%)

Memory
-5.6MiB live, 364.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.828632301449719
(/.f64 (*.f64 t t) x)
accuracy6.148911095332116
(/.f64 (*.f64 l l) x)
accuracy9.113713102549795
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
accuracy16.82639510574486
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy2.6126866196479632
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy20.727922010762796
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy34.140370856422095
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy14.16412125794766
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
accuracy16.82639510574486
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
accuracy18.399605071159094
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
(sqrt.f64 #s(literal 1/2 binary64))
accuracy0.59765625
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
accuracy16.970550306108297
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy0.015625
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy0.09603500976844202
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy16.050968284779618
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
Samples
109.0ms97×1valid
56.0ms43×2valid
49.0ms35×2invalid
32.0ms56×1invalid
4.0ms13×0valid
4.0ms12×0invalid
Compiler

Compiled 559 to 45 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
adjust: 38.0ms (29.2% of total)
ival-div: 31.0ms (23.8% of total)
ival-mult: 22.0ms (16.9% of total)
ival-add: 15.0ms (11.5% of total)
ival-sqrt: 14.0ms (10.7% of total)
ival-sub: 9.0ms (6.9% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.8%)

Memory
-24.1MiB live, 130.9MiB allocated
Counts
23 → 149
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t))
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
(/.f64 (*.f64 l l) x)
(/.f64 (*.f64 t t) x)
Outputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))))
-2
(- (* -2 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2)
(/ (* t (* (sqrt -1/2) (sqrt 2))) l)
(+ (* 1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt -1/2)))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* -1/32 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 3)))) (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))) (* x (+ (* -1/32 (/ (* t (sqrt 2)) (* l (pow (sqrt -1/2) 3)))) (* 1/128 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 5)))))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/4 (/ x (sqrt -1/2))))
(+ (sqrt -1/2) (* x (+ (* -1/32 (/ x (pow (sqrt -1/2) 3))) (* 1/4 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* x (+ (* x (- (* 1/128 (/ x (pow (sqrt -1/2) 5))) (* 1/32 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/4 (/ 1 (sqrt -1/2))))))
(/ (pow t 2) x)
(/ (+ (* (pow t 2) x) (pow t 2)) x)
(/ (+ (* 2 (pow l 2)) (* 2 (pow t 2))) x)
(* t (* (sqrt -1) (sqrt 2)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2))
(/ (+ (* 2 (pow t 2)) (pow l 2)) x)
(/ (pow l 2) x)
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))))
(* t (sqrt 2))
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))
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(* (sqrt x) (sqrt 1/2))
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
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(* 2 (/ (pow l 2) x))
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(pow l 2)
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(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5))))))))))
(* (pow t 2) (+ 1 (/ 1 x)))
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2))
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* (pow t 2) (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 2 (/ 1 x))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
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(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
Calls

9 calls:

TimeVariablePointExpression
28.0ms
x
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (/ (* t t) x) (* t t)) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* l l) (* 2 (* t t))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x))
15.0ms
t
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (/ (* t t) x) (* t t)) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* l l) (* 2 (* t t))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x))
8.0ms
l
@0
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (/ (* t t) x) (* t t)) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* l l) (* 2 (* t t))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x))
6.0ms
x
@-inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (/ (* t t) x) (* t t)) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* l l) (* 2 (* t t))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x))
5.0ms
x
@inf
((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (+ (/ (* t t) x) (* t t)) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x -1) (- x 1))) (* (sqrt 2) t)) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+ (* l l) (* 2 (* t t))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x))

simplify224.0ms (2%)

Memory
7.2MiB live, 286.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096510880
132819523
083429022
Stop Event
iter limit
node limit
Counts
149 → 149
Calls
Call 1
Inputs
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
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(pow t 2)
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(* 2 (pow t 2))
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
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(* (pow t 2) (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 2 (/ 1 x))))
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2))))
(* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
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Outputs
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(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64))))) (pow.f64 t #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 t t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))

rewrite181.0ms (1.6%)

Memory
2.0MiB live, 317.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060484
097466
1399436
23471432
09513429
Stop Event
iter limit
node limit
iter limit
Counts
23 → 535
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t))
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
(/.f64 (*.f64 l l) x)
(/.f64 (*.f64 t t) x)
Outputs
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
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(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) x))
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(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (*.f64 x (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l))))
(/.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 x (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 x (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x))
(neg.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)))
(*.f64 (/.f64 l x) l)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 l l))
(*.f64 (*.f64 (neg.f64 l) l) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 l l) (pow.f64 x #s(literal -1 binary64)))
(*.f64 l (/.f64 l x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) x))
(pow.f64 (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 l l)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 l) l))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 l l) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 l) l)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 l l) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 l) l) (neg.f64 x))
(/.f64 (*.f64 l l) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 l l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 l l)))
(neg.f64 (/.f64 (*.f64 (neg.f64 l) l) x))
(neg.f64 (/.f64 (*.f64 l l) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 l l))) #s(literal -1 binary64)))
(*.f64 (/.f64 t x) t)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 t t))
(*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 t t) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) x))
(*.f64 t (/.f64 t x))
(pow.f64 (/.f64 (/.f64 x (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 t t)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 x))
(/.f64 (*.f64 t t) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 t t)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 t t)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t t)))
(neg.f64 (/.f64 (*.f64 (neg.f64 t) t) x))
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 t t))) #s(literal -1 binary64)))

eval279.0ms (2.5%)

Memory
16.9MiB live, 382.8MiB allocated
Compiler

Compiled 47 792 to 3 959 computations (91.7% saved)

prune40.0ms (0.4%)

Memory
-15.7MiB live, 100.1MiB allocated
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New70719726
Fresh13922
Picked415
Done000
Total72429753
Accuracy
98.9%
Counts
753 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
16.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
11.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
2.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
11.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
39.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (*.f64 l l) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 t t)))))))
49.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
38.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
37.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
44.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
4.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
74.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
50.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t))
74.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
2.7%
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
49.8%
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))))
37.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
4.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
4.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
73.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
3.9%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.8%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.9%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
70.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
22.7%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
26.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
71.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Compiler

Compiled 2 759 to 1 712 computations (37.9% saved)

simplify155.0ms (1.4%)

Memory
6.3MiB live, 209.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
cost-diff4
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
cost-diff4
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
cost-diff1
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060652
094644
1173641
2340595
3771595
42419595
56031595
08072587
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
#s(literal 1 binary64)
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
t
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
(sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
x
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))
(*.f64 t t)
(*.f64 l l)
l
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
#s(literal 1 binary64)
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
t
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) l)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) l))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) l)
(sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
l
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
x
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) t)
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))
(*.f64 t t)
(*.f64 l l)
l

localize390.0ms (3.5%)

Memory
-8.3MiB live, 275.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy4.230968820803746
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
accuracy11.774584863891802
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
accuracy16.434980484861725
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
accuracy0.12890625
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy20.766595464767008
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
accuracy34.140370856422095
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy1.5030018813013222
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
accuracy2.6126866196479632
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy20.727922010762796
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy16.970550306108297
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
accuracy0.09603500976844202
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
accuracy0.24609375
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy16.050968284779618
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
Samples
174.0ms56×1invalid
65.0ms97×1valid
44.0ms43×2valid
40.0ms35×2invalid
4.0ms13×0valid
4.0ms12×0invalid
Compiler

Compiled 505 to 46 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-div: 160.0ms (56.2% of total)
ival-mult: 46.0ms (16.2% of total)
ival-sub: 20.0ms (7% of total)
ival-add: 20.0ms (7% of total)
adjust: 19.0ms (6.7% of total)
ival-sqrt: 17.0ms (6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series98.0ms (0.9%)

Memory
4.1MiB live, 83.3MiB allocated
Counts
21 → 155
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
-2
(- (* -4 x) 2)
(- (* x (- (* -4 x) 4)) 2)
(- (* x (- (* x (- (* -4 x) 4)) 4)) 2)
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(/ (* t (* (sqrt -1/2) (sqrt 2))) l)
(+ (* 1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt -1/2)))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* -1/32 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 3)))) (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(+ (* x (+ (* 1/4 (/ (* t (sqrt 2)) (* l (sqrt -1/2)))) (* x (+ (* -1/32 (/ (* t (sqrt 2)) (* l (pow (sqrt -1/2) 3)))) (* 1/128 (/ (* t (* x (sqrt 2))) (* l (pow (sqrt -1/2) 5)))))))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/4 (/ x (sqrt -1/2))))
(+ (sqrt -1/2) (* x (+ (* -1/32 (/ x (pow (sqrt -1/2) 3))) (* 1/4 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* x (+ (* x (- (* 1/128 (/ x (pow (sqrt -1/2) 5))) (* 1/32 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/4 (/ 1 (sqrt -1/2))))))
-1/2
(- (* 1/2 x) 1/2)
(- (* -2 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 2)
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))))
(* t (* (sqrt -1) (sqrt 2)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))))))
(+ (* t (* (sqrt -1) (sqrt 2))) (* x (+ (* -1 (/ (* t (sqrt 2)) (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))))
(* l (sqrt -2))
(+ (* -1 (/ (* l x) (sqrt -2))) (* l (sqrt -2)))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* -1/2 (/ (* l (* x (+ 2 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))))))
(+ (* l (sqrt -2)) (* x (+ (* -1 (/ l (sqrt -2))) (* x (+ (* -1/2 (/ (* l (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -2) 2))) (/ 1 (pow (sqrt -2) 4)))))) (sqrt -2))) (* -1/2 (/ (* l (+ 2 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))))))
(* x (sqrt 2))
2
(+ 2 (* 4 (/ 1 x)))
(+ 2 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(+ 2 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(* (sqrt 1/2) (sqrt 2))
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x))))))
(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))
(* (sqrt x) (sqrt 1/2))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/2)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/2) 3)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/2) 3)))) (+ (* -1/128 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt 1/2) 5)))) (* (sqrt (/ 1 x)) (sqrt 1/2))))))
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)
(/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)
(* t (sqrt 2))
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2))))))
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(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))))))
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t)
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5))))))))))
(/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) t)
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))))
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* t (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
(* -1 (* t (- (* -2 (/ (pow l 2) (pow t 2))) 4)))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
t
@inf
((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (* (sqrt 2) x))
9.0ms
x
@0
((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (* (sqrt 2) x))
5.0ms
x
@-inf
((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (* (sqrt 2) x))
5.0ms
l
@0
((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (* (sqrt 2) x))
5.0ms
t
@-inf
((* 2 (/ (- x -1) (- x 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (* 2 (/ (- x -1) (- x 1)))) t) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (* (sqrt 2) x))

simplify204.0ms (1.8%)

Memory
-11.8MiB live, 218.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103410722
134779593
085729193
Stop Event
iter limit
node limit
Counts
155 → 155
Calls
Call 1
Inputs
-2
(- (* -4 x) 2)
(- (* x (- (* -4 x) 4)) 2)
(- (* x (- (* x (- (* -4 x) 4)) 4)) 2)
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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2
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(* 1/2 x)
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(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
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(* t (+ 4 (* 2 (/ (pow l 2) (pow t 2)))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
(* -1 (* t (- (* -2 (/ (pow l 2) (pow t 2))) 4)))
Outputs
-2
#s(literal -2 binary64)
(- (* -4 x) 2)
(fma.f64 #s(literal -4 binary64) x #s(literal -2 binary64))
(- (* x (- (* -4 x) 4)) 2)
(fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -4 binary64)) x #s(literal -2 binary64))
(- (* x (- (* x (- (* -4 x) 4)) 4)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -4 binary64)) x #s(literal -4 binary64)) x #s(literal -2 binary64))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) (fma.f64 (*.f64 t x) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) (pow.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64)))))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(* (sqrt 1/2) (sqrt 2))
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(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
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(* x (+ (* -1/4 (* (/ (* t (sqrt 2)) (* l (sqrt 1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (sqrt 2)) (* l (pow (sqrt 1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt (/ 1 x)))))))
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(* (sqrt x) (sqrt 1/2))
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(* x (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt 1/2)))) (+ (* -1/32 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt 1/2) 3)))) (* (sqrt (/ 1 x)) (sqrt 1/2)))))
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(* 1/2 x)
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(* x (- 1/2 (* 1/2 (/ 1 x))))
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(* t (sqrt 2))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))
(* -1 (* t (- (* -2 (/ (pow l 2) (pow t 2))) 4)))
(*.f64 (neg.f64 t) (fma.f64 (/.f64 #s(literal -2 binary64) t) (/.f64 (*.f64 l l) t) #s(literal -4 binary64)))

rewrite186.0ms (1.6%)

Memory
20.9MiB live, 344.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060517
094509
1363465
22850463
08626456
Stop Event
iter limit
node limit
iter limit
Counts
21 → 366
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))
(*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Outputs
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))) #s(literal -1 binary64)))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(pow.f64 (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(neg.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l))
(*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 l #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 l (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 l (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) (neg.f64 l))
(/.f64 (*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
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(/.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64)))))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
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#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))
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(*.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
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(pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) l))
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(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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eval98.0ms (0.9%)

Memory
-15.9MiB live, 260.3MiB allocated
Compiler

Compiled 39 207 to 3 166 computations (91.9% saved)

prune42.0ms (0.4%)

Memory
5.7MiB live, 89.0MiB allocated
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New54518563
Fresh17623
Picked415
Done011
Total56626592
Accuracy
99.2%
Counts
592 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (*.f64 l l) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 t t)))))))
49.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
38.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
44.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t))))
66.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
74.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
26.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
26.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
72.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
77.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
48.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l t) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) x))))
26.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
74.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
49.8%
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
26.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
22.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
26.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 l (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
73.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
23.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
70.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
21.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
26.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
71.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Compiler

Compiled 2 710 to 1 592 computations (41.3% saved)

simplify180.0ms (1.6%)

Memory
17.9MiB live, 217.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
cost-diff0
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
cost-diff0
(/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l)
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
cost-diff0
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
cost-diff0
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
cost-diff0
(/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
cost-diff0
#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
cost-diff0
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
cost-diff0
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
cost-diff1
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
cost-diff2
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072936
0106936
1207930
2444919
3898919
42157919
55209919
67558847
08018826
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 l (*.f64 t x))
l
(*.f64 t x)
x
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
l
(sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)
(sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) x)
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
(/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l)
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1/2 binary64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
l
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 t #s(literal 2 binary64) (*.f64 (/.f64 l t) l)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 l (*.f64 t x))
(/.f64 l (*.f64 x t))
l
(*.f64 t x)
(*.f64 x t)
x
(/.f64 l (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t)
(/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(/.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
l
(sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
x
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))) l)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
t
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))) l))
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))) l)
(sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))
(sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 2 binary64) x)
l
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)))
(/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l)
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -1/2 binary64)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
t
(sqrt.f64 #s(literal 2 binary64))
l

localize306.0ms (2.7%)

Memory
10.6MiB live, 445.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy1.5030018813013222
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
accuracy2.209976052596039
(/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l)
accuracy20.727922010762796
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
accuracy0.12890625
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.6190777980350849
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))
accuracy20.766595464767008
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))
accuracy0.25390625
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy1.5030018813013222
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
accuracy2.6244053696479632
(/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
accuracy20.727922010762796
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy1.5079170201951853
#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
accuracy2.6126866196479632
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
accuracy20.727922010762796
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
accuracy0.25390625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy0.26953125
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy4.973758355374052
(/.f64 l (*.f64 t x))
accuracy16.434980484861725
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
Samples
88.0ms97×1valid
74.0ms103×0invalid
59.0ms43×2valid
5.0ms13×0valid
Compiler

Compiled 595 to 61 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 42.0ms (27.8% of total)
ival-div: 37.0ms (24.5% of total)
ival-sqrt: 24.0ms (15.9% of total)
adjust: 17.0ms (11.3% of total)
ival-add: 15.0ms (9.9% of total)
ival-pow: 9.0ms (6% of total)
ival-sub: 6.0ms (4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series60.0ms (0.5%)

Memory
7.2MiB live, 118.6MiB allocated
Counts
25 → 147
Calls
Call 1
Inputs
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l))
(sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
(/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l)
(*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 l (*.f64 t x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)
Outputs
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(* 2 (/ t (* x (sqrt 2))))
(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x)
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))))
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2)))))))
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@0
((+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (/ (* t (sqrt 2)) l) (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* t (sqrt 2)) l) (* t (sqrt 2)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) l) (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* (sqrt 2) x) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
8.0ms
t
@inf
((+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (/ (* t (sqrt 2)) l) (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* t (sqrt 2)) l) (* t (sqrt 2)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) l) (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* (sqrt 2) x) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
6.0ms
l
@inf
((+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (/ (* t (sqrt 2)) l) (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* t (sqrt 2)) l) (* t (sqrt 2)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) l) (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* (sqrt 2) x) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
5.0ms
t
@-inf
((+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (/ (* t (sqrt 2)) l) (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* t (sqrt 2)) l) (* t (sqrt 2)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) l) (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* (sqrt 2) x) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))
5.0ms
x
@-inf
((+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (/ (* t (sqrt 2)) l) (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* t (sqrt 2)) l) (* t (sqrt 2)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) l) (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* (sqrt 2) x) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l))

simplify205.0ms (1.8%)

Memory
-6.9MiB live, 314.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098710783
133469722
081949320
Stop Event
iter limit
node limit
Counts
147 → 147
Calls
Call 1
Inputs
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
(* 2 (/ t (* x (sqrt 2))))
(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x)
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))
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(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))
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(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
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Outputs
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x)
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(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x)
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(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x)
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l))
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))
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(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))
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(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))))
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rewrite169.0ms (1.5%)

Memory
-13.3MiB live, 227.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072713
0106711
1473647
24252647
08482632
Stop Event
iter limit
node limit
iter limit
Counts
25 → 350
Calls
Call 1
Inputs
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))
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(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
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#s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))
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#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))
(*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)
Outputs
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (-.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 x t) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (*.f64 x t) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (*.f64 x t) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))))) (*.f64 (*.f64 x t) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 (/.f64 l (*.f64 x t)) l) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (/.f64 l (*.f64 x t)) l) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 l l) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 x t) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l))) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x t)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 l (*.f64 x t)) l))) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 l l))) (*.f64 (fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (*.f64 x t) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l))) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 x t)))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 l (*.f64 x t)) l))) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 l l))) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 3 binary64)) (/.f64 (pow.f64 l #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 l (*.f64 x t)) l) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
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eval83.0ms (0.7%)

Memory
15.6MiB live, 141.0MiB allocated
Compiler

Compiled 41 089 to 2 550 computations (93.8% saved)

prune49.0ms (0.4%)

Memory
5.6MiB live, 79.3MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New48816504
Fresh81119
Picked325
Done022
Total49931530
Accuracy
99.2%
Counts
530 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
38.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
66.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
74.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
26.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
26.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
72.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
77.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
48.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l t) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) x))))
76.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) #s(approx (+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
26.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
76.7%
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64)))
74.0%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
26.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) l))
26.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
22.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
20.8%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal -1 binary64))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
26.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
26.0%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
26.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
73.1%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
23.3%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) l)))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
26.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
22.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
70.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
21.5%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
26.4%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
71.2%
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Compiler

Compiled 5 770 to 1 510 computations (73.8% saved)

regimes144.0ms (1.3%)

Memory
-13.7MiB live, 178.9MiB allocated
Counts
81 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) #s(approx (+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l t) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (*.f64 l l) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 t t)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 l (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal -1 binary64))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

6 calls:

25.0ms
l
25.0ms
x
22.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
22.0ms
t
22.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Results
AccuracySegmentsBranch
77.1%1x
79.6%2l
86.0%3t
84.1%3(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
77.1%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
77.1%1(*.f64 l l)
Compiler

Compiled 40 to 38 computations (5% saved)

regimes28.0ms (0.2%)

Memory
-11.2MiB live, 34.5MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
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(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 l) l))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

1 calls:

24.0ms
t
Results
AccuracySegmentsBranch
85.9%3t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.2%)

Memory
-3.7MiB live, 33.7MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) #s(approx (+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l t) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (*.f64 l l) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 t t)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 l (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

1 calls:

19.0ms
t
Results
AccuracySegmentsBranch
85.9%3t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.2%)

Memory
35.6MiB live, 35.6MiB allocated
Counts
65 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) #s(approx (+ (* (/ l (* t x)) (/ l (sqrt 2))) (+ (* (/ t (* (sqrt 2) x)) 2) (* (sqrt 2) t))) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 l x) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l t) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t (*.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (*.f64 l l) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 t t)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) t) (sqrt.f64 #s(literal 2 binary64))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 l (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

1 calls:

18.0ms
t
Results
AccuracySegmentsBranch
85.8%3t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.2%)

Memory
-29.6MiB live, 46.9MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(approx (/ (* 2 (+ (* (* t t) 2) (* l l))) t) (*.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

1 calls:

16.0ms
t
Results
AccuracySegmentsBranch
85.7%3t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes28.0ms (0.3%)

Memory
12.8MiB live, 58.0MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

2 calls:

15.0ms
t
11.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Results
AccuracySegmentsBranch
78.7%2(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
81.7%2t
Compiler

Compiled 28 to 21 computations (25% saved)

regimes16.0ms (0.1%)

Memory
3.3MiB live, 41.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 l (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (* (sqrt (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))
Calls

1 calls:

13.0ms
t
Results
AccuracySegmentsBranch
81.5%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory
-20.8MiB live, 18.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
Calls

1 calls:

8.0ms
t
Results
AccuracySegmentsBranch
81.3%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
Calls

1 calls:

7.0ms
t
Results
AccuracySegmentsBranch
80.4%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (/ (* (sqrt 2) t) l)) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 #s(approx (* (pow (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) -1/2) (* t (sqrt 2))) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) l))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t)))
Calls

1 calls:

5.0ms
t
Results
AccuracySegmentsBranch
80.0%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
-21.6MiB live, 16.6MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 #s(literal 2 binary64) x))) l)))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
t
4.0ms
l
Results
AccuracySegmentsBranch
76.3%2l
78.7%2t
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) l)))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))))))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
78.7%2t
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Accuracy

Total -0.7b remaining (-3.5%)

Threshold costs -0.7b (-3.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))
Outputs
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Calls

6 calls:

2.0ms
l
2.0ms
x
2.0ms
t
1.0ms
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
1.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
71.2%1l
71.2%1x
71.2%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
71.2%1(*.f64 l l)
71.2%1(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))
71.2%1t
Compiler

Compiled 40 to 38 computations (5% saved)

bsearch40.0ms (0.4%)

Memory
0.4MiB live, 49.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
2.642921223570268e+44
2.0159136508953483e+45
17.0ms
1.642300607018683e-144
2.0589819007365462e-144
Samples
11.0ms60×1valid
8.0ms82×0valid
3.0ms17×1invalid
1.0ms2valid
0.0ms0invalid
Compiler

Compiled 915 to 585 computations (36.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.6% of total)
ival-div: 3.0ms (16.5% of total)
ival-sqrt: 3.0ms (16.5% of total)
ival-sub: 2.0ms (11% of total)
adjust: 2.0ms (11% of total)
ival-add: 2.0ms (11% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
-35.3MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.642921223570268e+44
2.0159136508953483e+45
2.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 897 to 567 computations (36.8% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.642921223570268e+44
2.0159136508953483e+45
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 1 068 to 603 computations (43.5% saved)

bsearch2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.642921223570268e+44
2.0159136508953483e+45
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 933 to 558 computations (40.2% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.642921223570268e+44
2.0159136508953483e+45
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 1 014 to 594 computations (41.4% saved)

bsearch9.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.642300607018683e-144
2.0589819007365462e-144
Samples
2.0ms20×0valid
2.0ms11×1valid
1.0ms1invalid
0.0ms2valid
0.0ms2invalid
0.0ms0invalid
Compiler

Compiled 321 to 207 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (22.4% of total)
ival-add: 1.0ms (22.4% of total)
adjust: 1.0ms (22.4% of total)
ival-div: 1.0ms (22.4% of total)
ival-mult: 1.0ms (22.4% of total)
ival-sqrt: 1.0ms (22.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 312 to 207 computations (33.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 312 to 207 computations (33.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 321 to 222 computations (30.8% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 333 to 219 computations (34.2% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 282 to 189 computations (33% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.642300607018683e-144
2.0589819007365462e-144
Compiler

Compiled 282 to 189 computations (33% saved)

simplify84.0ms (0.7%)

Memory
-14.8MiB live, 62.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01501526
12081526
23141524
35061524
48661476
517741476
653261476
777621476
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 589999999999999964895053525617122227242663936 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 589999999999999964895053525617122227242663936 binary64)) (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))
Outputs
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 589999999999999964895053525617122227242663936 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 589999999999999964895053525617122227242663936 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 2 binary64))) t) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 589999999999999964895053525617122227242663936 binary64)) (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) (neg.f64 x)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 #s(literal 2 binary64) t) t (/.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) (fma.f64 (/.f64 (*.f64 t t) x) #s(literal 2 binary64) (/.f64 (*.f64 l l) x))) x))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 5799381063278339/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (if (<=.f64 t #s(literal 580000000000000035318263647924383797362032640 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) #s(approx (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64))))))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1)) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) x))) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) t)))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(approx (* 2 (/ (- x -1) (- x 1))) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)))) t))))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
(if (<=.f64 t #s(literal 6853813983874401/3514776401986872174070733209129673327241950873673372369609965291102998109899599898686750536018664732148375711432438199315006457855854921632037902485050909261824 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 #s(approx (/ 1 (+ (/ x (- x 1)) (- (/ 1 (- x 1)) 1))) (*.f64 #s(literal 1/2 binary64) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)))
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64))

soundness1.1s (9.7%)

Memory
36.3MiB live, 819.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096510880
132819523
083429022
060517
094509
1363465
22850463
08626456
06769425
123328299
087557937
060484
097466
1399436
23471432
09513429
072713
0106711
1473647
24252647
08482632
0103410722
134779593
085729193
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 3 109 to 1 296 computations (58.3% saved)

preprocess157.0ms (1.4%)

Memory
-6.1MiB live, 223.6MiB allocated
Compiler

Compiled 3 734 to 590 computations (84.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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