Toniolo and Linder, Equation (7)

Time bar (total: 13.4s)

analyze311.0ms (2.3%)

Memory
1.8MiB live, 680.9MiB 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 (24.4%)

Memory
9.1MiB live, 4 511.8MiB allocated
Samples
899.0ms2 721×1valid
664.0ms5 359×0valid
401.0ms2 787×0invalid
383.0ms1 625×1invalid
51.0ms176×2valid
27.0ms104×2invalid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 479.0ms (24.9% of total)
ival-div: 457.0ms (23.7% of total)
ival-sqrt: 312.0ms (16.2% of total)
ival-add: 258.0ms (13.4% of total)
ival-sub: 224.0ms (11.6% of total)
adjust: 168.0ms (8.7% of total)
exact: 14.0ms (0.7% of total)
ival-true: 10.0ms (0.5% of total)
ival-assert: 5.0ms (0.3% of total)
Bogosity

preprocess3.0s (22.6%)

Memory
2.1MiB live, 560.0MiB allocated
Algorithm
egg-herbie
Rules
25 302×lower-fma.f64
25 302×lower-fma.f32
4 556×lower-*.f32
4 546×lower-*.f64
2 076×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067250
1221248
2650246
32219246
47024246
01827
03127
15827
211327
321227
443727
599027
6226627
7507727
0818326
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 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (*.f64 l (neg.f64 l)))))
Symmetry

(abs l)

(negabs t)

explain420.0ms (3.1%)

Memory
-70.5MiB live, 522.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-3(1.438952598079532e+107 1.02858858931204e-256 7.368447665791424e-162)(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)))
890-0-(-.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-rescue900
(-.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))overflow90
(*.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))))overflow101
(*.f64 #s(literal 2 binary64) (*.f64 t t))overflow73
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))overflow101
(*.f64 t t)overflow73
(*.f64 l l)overflow90
-.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-rescue450
(*.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))))overflow101
(*.f64 #s(literal 2 binary64) (*.f64 t t))overflow73
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))overflow101
(*.f64 t t)overflow73
(*.f64 l l)overflow45
(*.f64 l l)overflow45
-.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))cancellation440
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-rescue300
(-.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))underflow30
(*.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))))underflow23
(*.f64 #s(literal 2 binary64) (*.f64 t t))underflow50
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))underflow23
(*.f64 t t)underflow50
(*.f64 l l)underflow174
Confusion
Predicted +Predicted -
+1751
-080
Precision
1.0
Recall
0.9943181818181818
Confusion?
Predicted +Predicted MaybePredicted -
+17501
-0080
Precision?
1.0
Recall?
0.9943181818181818
Freqs
test
numberfreq
081
1141
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms178×1valid
49.0ms320×0valid
4.0ms14×2valid
Compiler

Compiled 326 to 76 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-add: 74.0ms (56% of total)
ival-mult: 16.0ms (12.1% of total)
ival-sub: 15.0ms (11.3% of total)
ival-sqrt: 11.0ms (8.3% of total)
ival-div: 8.0ms (6.1% of total)
adjust: 6.0ms (4.5% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.4%
(/.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 30 to 18 computations (40% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize68.0ms (0.5%)

Memory
2.3MiB live, 160.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.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))))
accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy70.1%
(-.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))
accuracy55.6%
(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
23.0ms89×1valid
20.0ms160×0valid
2.0ms2valid
Compiler

Compiled 133 to 20 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 8.0ms (26.3% of total)
ival-sqrt: 7.0ms (23% of total)
adjust: 4.0ms (13.1% of total)
ival-div: 4.0ms (13.1% of total)
ival-add: 4.0ms (13.1% of total)
ival-sub: 3.0ms (9.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series66.0ms (0.5%)

Memory
7.1MiB live, 128.9MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (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)))>
#<alt (-.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))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (/.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
#<alt (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))>
#<alt (+ (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)))))))>
#<alt (+ (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)))))))))>
#<alt (+ (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)))))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 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 (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 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 (- (+ (* 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 (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 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 (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))>
#<alt (+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))))))>
#<alt (+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))))))))>
#<alt (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))>
#<alt (+ (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))))))>
#<alt (+ (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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#<alt (* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))>
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#<alt (* -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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Calls

30 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
7.0ms
l
@inf
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
5.0ms
x
@0
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
3.0ms
l
@0
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))
3.0ms
t
@inf
(/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))))

rewrite410.0ms (3.1%)

Memory
9.5MiB live, 1 080.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
13 380×lower-fma.f64
13 380×lower-fma.f32
6 638×lower-*.f32
6 628×lower-*.f64
3 164×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
03174
111674
292873
0881570
Stop Event
iter limit
node limit
iter limit
Counts
4 → 351
Calls
Call 1
Inputs
(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 (sqrt.f64 #s(literal 2 binary64)) 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))))
Outputs
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) t)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 t (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))))
(*.f64 (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l))))))
(*.f64 (/.f64 t (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))) (/.f64 t (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)) #s(literal 2 binary64))) t) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) t) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) t) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (sqrt.f64 #s(literal 2 binary64))) t)
(*.f64 (*.f64 (/.f64 t (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))

simplify694.0ms (5.2%)

Memory
-9.2MiB live, 882.0MiB allocated
Algorithm
egg-herbie
Rules
10 338×lower-fma.f64
10 338×lower-fma.f32
9 600×lower-*.f64
9 600×lower-*.f32
3 954×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067010103
123128916
086528526
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(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 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)))))
(* 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 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 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 (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 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 (- (+ (* 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 (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 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 (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2)))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))))
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))))))
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))))))))
(* 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)))))))
(* 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))))))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 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)))))))
(* -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))))))))
(* -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)))))))))
(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))))))))))
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(* (sqrt 1/2) (sqrt 2))
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))
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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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(/ (+ (* -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)
(/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.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 (+.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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (pow.f64 l #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.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 (+.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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (+.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 (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.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))) #s(literal 4 binary64))))))) (pow.f64 l #s(literal 6 binary64))))) (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.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))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 l (*.f64 l (+.f64 x #s(literal -1 binary64))))))))) l)
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))
(*.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))))) (neg.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)))
(* -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))
(/.f64 (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.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))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 l (*.f64 l (+.f64 x #s(literal -1 binary64)))))))) (neg.f64 l))
(* -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))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.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))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 l (*.f64 l (+.f64 x #s(literal -1 binary64)))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.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 (+.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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (pow.f64 l #s(literal 4 binary64))) (*.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)))) #s(literal -1/2 binary64)) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 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)))))))) (neg.f64 l))
(* -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))
(/.f64 (fma.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)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -3 binary64)) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.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 (+.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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (pow.f64 l #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.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 (+.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 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (+.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 (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 t #s(literal 6 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (pow.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))) #s(literal 4 binary64))))))) (pow.f64 l #s(literal 6 binary64))))) (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 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))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (/.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))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 l (*.f64 l (+.f64 x #s(literal -1 binary64))))))))) (neg.f64 l))

eval114.0ms (0.9%)

Memory
19.7MiB live, 172.2MiB allocated
Compiler

Compiled 30 123 to 1 958 computations (93.5% saved)

prune89.0ms (0.7%)

Memory
-13.6MiB live, 226.5MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New45021471
Fresh000
Picked101
Done000
Total45121472
Accuracy
92.7%
Counts
472 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
79.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
54.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
77.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
4.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 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))))))
12.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
27.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 l l)))))
26.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (neg.f64 (*.f64 l l)))))
26.4%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
37.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
31.8%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
3.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
52.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x))))
52.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
3.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.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))))))
3.3%
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
78.2%
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
5.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
4.1%
(*.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 t (sqrt.f64 #s(literal 2 binary64))) l))
76.7%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
33.3%
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
Compiler

Compiled 1 178 to 722 computations (38.7% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize244.0ms (1.8%)

Memory
22.8MiB live, 543.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
accuracy99.6%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy99.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
accuracy77.9%
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
accuracy99.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy83.1%
(fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))
accuracy73.3%
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)))))
accuracy95.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
accuracy91.6%
(/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64)))
accuracy75.7%
(sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))
accuracy68.2%
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
accuracy99.1%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
accuracy100.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
accuracy100.0%
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy99.6%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
Samples
65.0ms107×1valid
56.0ms96×1invalid
33.0ms39×2valid
2.0ms0invalid
2.0ms0valid
Compiler

Compiled 432 to 43 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 44.0ms (39.1% of total)
ival-div: 22.0ms (19.5% of total)
ival-sqrt: 17.0ms (15.1% of total)
adjust: 13.0ms (11.5% of total)
ival-add: 12.0ms (10.7% of total)
ival-sub: 3.0ms (2.7% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series95.0ms (0.7%)

Memory
-6.0MiB live, 191.8MiB allocated
Counts
17 → 372
Calls
Call 1
Inputs
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
#<alt (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))>
#<alt (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))>
#<alt (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))>
#<alt (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)))))>
#<alt (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))>
#<alt (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
Outputs
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (* (sqrt -1) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))>
#<alt (* t (* (pow (sqrt -1) 2) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (- (* -1 (pow l 2)) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))>
#<alt (- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)>
#<alt (/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)>
#<alt (/ (- (pow l 2) (* -1 (pow l 2))) x)>
#<alt (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))>
#<alt (sqrt (- (* -1 (pow l 2)) (pow l 2)))>
#<alt (+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* 1/2 (* x (sqrt (- (* -1 (pow l 2)) (pow l 2))))))>
#<alt (+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2))))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* 1/2 (sqrt (- (* -1 (pow l 2)) (pow l 2)))))))>
#<alt (+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* x (+ (* 1/2 (sqrt (- (* -1 (pow l 2)) (pow l 2)))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1/2 (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2))))))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))))))>
#<alt (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x))>
#<alt (+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))))>
#<alt (+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5))))))>
#<alt (+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 7) (- (pow l 2) (* -1 (pow l 2)))))) (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* 1/4 (* x (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5)))))))>
#<alt (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (pow l 2)) (pow l 2)))) (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (pow l 2)) (pow l 2)))) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5)))) (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2))))>
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#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))))>
#<alt (* 4 (/ t (* x (sqrt 2))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2)))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (pow l 2) (* t (* x (sqrt 2)))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2)))))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2)))))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (* (pow t 2) (+ (* -1 (/ (* (pow t 2) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))))) (pow l 4))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (* (pow t 2) (+ (* (pow t 2) (- (/ (* (pow t 2) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2)))) (pow l 6)) (/ (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (pow l 4)))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (* (pow t 2) (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (/ (* (pow t 2) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))) (pow l 8))) (* -1 (/ (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))) (pow l 6))))) (/ (* (pow x 2) (* (pow (sqrt 2) 3) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (pow l 4)))) (/ (* x (pow (sqrt 2) 2)) (pow l 2))))>
#<alt (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))>
#<alt (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (- (+ (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2)))))>
#<alt (- (+ (* -1 (/ (pow l 6) (* (pow t 6) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 4)))))) (/ (sqrt 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (/ (pow l 2) (* (pow t 2) (* x (pow (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2))))) 2))))))>
#<alt (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2)))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 3))))))))>
#<alt (+ (* -1 (/ (sqrt 2) (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* x (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 2))))) (+ (* -1 (/ (pow l 4) (* (pow t 4) (* (pow x 2) (* (sqrt 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 3)))))) (* -1 (/ (pow l 6) (* (pow t 6) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))) 4)))))))))>
#<alt (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))))>
#<alt (+ (* -1 (/ (pow l 2) (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (+ (* (pow l 2) (- (/ (pow l 2) (* t (* (pow x 2) (* (sqrt 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3))))) (/ 1 (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2))))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (+ (* (pow l 2) (- (* (pow l 2) (+ (* -1 (/ (pow l 2) (* (pow t 2) (* (pow x 3) (* (pow (sqrt 2) 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 4)))))) (/ 1 (* t (* (pow x 2) (* (sqrt 2) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3))))))) (/ 1 (* x (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2))))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (+ (* -1 (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (pow l 2))>
#<alt (/ (- (+ (* (pow t 2) (* x (pow (sqrt 2) 2))) (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (pow l 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow t 5) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3)))) (pow l 6))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (+ (* -1 (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow l 2))>
#<alt (/ (+ (* -1 (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (pow l 2))>
#<alt (/ (- (+ (* (pow t 2) (* x (pow (sqrt 2) 2))) (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2))) (pow l 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow t 5) (* (pow x 4) (* (pow (sqrt 2) 5) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 3)))) (pow l 6))) (* (pow t 2) (* x (pow (sqrt 2) 2)))) (+ (* -1 (/ (* (pow t 4) (* (pow x 3) (* (pow (sqrt 2) 4) (pow (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) 2)))) (pow l 4))) (/ (* (pow t 3) (* (pow x 2) (* (pow (sqrt 2) 3) (+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2)))))) (pow l 2)))) (pow l 2))>
#<alt (/ (* t (* x (sqrt 2))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))>
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* x (pow (sqrt 2) 2))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt (* x (+ (* x (- (/ (* (pow t 3) (* x (pow (sqrt 2) 3))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 3)) (/ (* (pow t 2) (pow (sqrt 2) 2)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt (* x (+ (* x (- (* x (- (* -1 (/ (* (pow t 4) (* x (pow (sqrt 2) 4))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 4))) (* -1 (/ (* (pow t 3) (pow (sqrt 2) 3)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 3))))) (/ (* (pow t 2) (pow (sqrt 2) 2)) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)))) (/ (* t (sqrt 2)) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) x)))>
#<alt (- (+ 1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2))))))>
#<alt (- (+ 1 (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)) (* (pow t 2) (* (pow x 3) (pow (sqrt 2) 2)))))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (* x (pow (sqrt 2) 2))))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (* x (pow (sqrt 2) 4))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 3) (* (pow t 6) (* x (pow (sqrt 2) 6))))) (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 4))))) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
#<alt (* x (sqrt 2))>
Calls

93 calls:

TimeVariablePointExpression
12.0ms
t
@0
(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))))))
8.0ms
x
@-inf
(/ (* (sqrt 2) t) (sqrt (- (/ (* (* (+ x 1) l) l) (+ x -1)) (* l l))))
5.0ms
x
@0
(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))))))
5.0ms
x
@inf
(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))))))
4.0ms
x
@-inf
(/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (+ x 1) (+ x -1)) (+ (* 2 (* t t)) (* l l))))))

rewrite316.0ms (2.4%)

Memory
-9.7MiB live, 710.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 294×lower-/.f32
5 280×lower-/.f64
5 034×lower-*.f32
5 012×lower-*.f64
3 596×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038227
072223
1275213
22113209
08620208
Stop Event
iter limit
node limit
iter limit
Counts
17 → 667
Calls
Call 1
Inputs
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))
(sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))
(/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)))))
(fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
(/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (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)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.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 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))))
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(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 t (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 t #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) (*.f64 (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 t (*.f64 t #s(literal 2 binary64)))))))) (/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l))) (*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)))) (*.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (-.f64 (*.f64 t (*.f64 t #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l))) x) #s(literal 1 binary64)))))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l))) (*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)))) (*.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 t (*.f64 t #s(literal 2 binary64))))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t #s(literal 2 binary64)) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

simplify413.0ms (3.1%)

Memory
19.8MiB live, 775.3MiB allocated
Algorithm
egg-herbie
Rules
7 212×lower-*.f64
7 212×lower-*.f32
6 024×lower-fma.f64
6 024×lower-fma.f32
3 716×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131718595
1439217725
0863316707
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* 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))))))))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))
(* t (* (pow (sqrt -1) 2) (sqrt 2)))
(+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(- (* -1 (pow l 2)) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)
(/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)
(/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(sqrt (- (* -1 (pow l 2)) (pow l 2)))
(+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* 1/2 (* x (sqrt (- (* -1 (pow l 2)) (pow l 2))))))
(+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2))))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* 1/2 (sqrt (- (* -1 (pow l 2)) (pow l 2)))))))
(+ (sqrt (- (* -1 (pow l 2)) (pow l 2))) (* x (+ (* 1/2 (sqrt (- (* -1 (pow l 2)) (pow l 2)))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1/2 (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2))))))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* 1/4 (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))))))
(sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x))
(+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))))
(+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5))))))
(+ (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 7) (- (pow l 2) (* -1 (pow l 2)))))) (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* 1/4 (* x (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 3)))) (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5)))))))
(* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (pow l 2)) (pow l 2)))) (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (pow l 2)) (pow l 2)))) (+ (* 1/2 (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5)))) (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt (* x (- (pow l 2) (* -1 (pow l 2)))))) (* -1/2 (* (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1/4 (/ (* x (pow (- (* -1 (pow l 2)) (pow l 2)) 2)) (* (pow (sqrt -1) 2) (- (pow l 2) (* -1 (pow l 2)))))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))) (- (* -1 (pow l 2)) (pow l 2)))) (* (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)) (pow (sqrt -1) 2))))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* -1 (pow l 2))
(+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2))))
(+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))))
(+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2))))
(pow l 2)
(- (+ (/ (pow l 2) x) (pow l 2)) (* -1 (/ (pow l 2) x)))
(- (+ (/ (pow l 2) x) (+ (/ (pow l 2) (pow x 2)) (pow l 2))) (+ (* -1 (/ (pow l 2) x)) (* -1 (/ (pow l 2) (pow x 2)))))
(- (+ (/ (pow l 2) x) (+ (/ (pow l 2) (pow x 3)) (pow l 2))) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) x)) (* -1 (/ (pow l 2) (pow x 3))))))
(pow l 2)
(- (+ (/ (pow l 2) x) (pow l 2)) (* -1 (/ (pow l 2) x)))
(+ (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x)) (pow l 2))
(+ (* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x)) (pow l 2))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(/ (* (pow l 2) (+ 1 x)) (- x 1))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))
(+ (* -1/2 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))
(+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/8 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))
(+ (* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* x (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))) (* -1/16 (* (* t (* x (sqrt 2))) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2)))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (pow l 2)) (pow l 2))))))
(* (* t (sqrt 2)) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2))))))
(* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))
(* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))
(* x (+ (* -1/2 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 3) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/8 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 5) (- (pow l 2) (* -1 (pow l 2)))))))) (+ (* -1/16 (* (* t (sqrt 2)) (sqrt (/ 1 (* (pow x 7) (- (pow l 2) (* -1 (pow l 2)))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))
(* -1 (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ x (- (pow l 2) (* -1 (pow l 2)))))))
(* -1 (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2))))))))))
(* -1 (* x (+ (* -1/2 (* (* t (* (sqrt 2) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3))))) (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 5))))) (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (* t (* (sqrt 2) (- (/ (pow l 2) (pow (- (pow l 2) (* -1 (pow l 2))) 2)) (+ (* -1 (/ (- (* -1 (pow l 2)) (pow l 2)) (pow (- (pow l 2) (* -1 (pow l 2))) 2))) (+ (* -1 (/ (pow l 2) (pow (- (pow l 2) (* -1 (pow l 2))) 2))) (+ (* -1/4 (/ (* x (pow (- (* -1 (pow l 2)) (pow l 2)) 2)) (* (pow (sqrt -1) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))) (/ (* (- (* -1 (pow l 2)) (pow l 2)) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))) (- (pow l 2) (* -1 (pow l 2)))))))))) (sqrt (/ (- (pow l 2) (* -1 (pow l 2))) x)))) (* 1/2 (* (* t (* (sqrt 2) (- (/ 1 (- (pow l 2) (* -1 (pow l 2)))) (/ (pow (- (* -1 (pow l 2)) (pow l 2)) 2) (pow (- (pow l 2) (* -1 (pow l 2))) 3))))) (sqrt (* x (- (pow l 2) (* -1 (pow l 2)))))))) (pow x 3))) (+ (* 1/2 (* (* t (* (sqrt 2) (- (* -1 (pow l 2)) (pow l 2)))) (sqrt (/ 1 (* (pow x 3) (pow (- (pow l 2) (* -1 (pow l 2))) 3)))))) (* (* t (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt (/ 1 (* x (- (pow l 2) (* -1 (pow l 2)))))))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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1
(+ 1 (* -1 (/ (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) x)))
(- (+ 1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2))))))
(- (+ 1 (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)) (* (pow t 2) (* (pow x 3) (pow (sqrt 2) 2)))))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2)))))))
1
(+ 1 (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (* x (pow (sqrt 2) 2))))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (* x (pow (sqrt 2) 4))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 3) (* (pow t 6) (* x (pow (sqrt 2) 6))))) (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 4))))) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
Outputs
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(* t (* (sqrt -1) (sqrt 2)))
(*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))
(-.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 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))))))
(fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(+ (* 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))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal -1/2 binary64) (fma.f64 t (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x)))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))))
(* t (* (pow (sqrt -1) 2) (sqrt 2)))
(*.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(+ (* -1 (/ (* t (sqrt 2)) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(-.f64 (*.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))
(+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(-.f64 (*.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x) #s(literal 1/2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* t (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* t (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) x))) x)) (* t (sqrt 2))) x)) (* t (* (pow (sqrt -1) 2) (sqrt 2))))
(-.f64 (*.f64 t (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) x))) x)) x))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) x))
(- (* -1 (pow l 2)) (pow l 2))
(neg.f64 (fma.f64 l l (*.f64 l l)))
(- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2))
(-.f64 (fma.f64 x (neg.f64 (fma.f64 l l (*.f64 l l))) (neg.f64 (*.f64 l l))) (*.f64 l l))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* -1 (pow l 2)) (pow l 2)))) (pow l 2)))) (pow l 2))
(-.f64 (-.f64 (*.f64 x (-.f64 (fma.f64 x (neg.f64 (fma.f64 l l (*.f64 l l))) (neg.f64 (*.f64 l l))) (*.f64 l l))) (*.f64 l l)) (*.f64 l l))
(- (+ (* -1 (pow l 2)) (* x (- (+ (* -1 (pow l 2)) (* x (- (* x (- (* -1 (pow l 2)) (pow l 2))) (* -1 (- (* -1 (pow l 2)) (pow l 2)))))) (pow l 2)))) (pow l 2))
(-.f64 (-.f64 (*.f64 x (-.f64 (fma.f64 x (*.f64 (neg.f64 (fma.f64 l l (*.f64 l l))) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 l l))) (*.f64 l l))) (*.f64 l l)) (*.f64 l l))
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/.f64 (fma.f64 l l (*.f64 l l)) x)
(/ (- (+ (/ (pow l 2) x) (pow l 2)) (+ (* -1 (/ (pow l 2) x)) (* -1 (pow l 2)))) x)
(/.f64 (+.f64 (fma.f64 l l (/.f64 (*.f64 l l) x)) (fma.f64 l l (/.f64 (*.f64 l l) x))) x)
(/ (- (+ (/ (pow l 2) (pow x 2)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (pow l 2) (pow x 2))) (* -1 (pow l 2))))) x)
(/.f64 (-.f64 (fma.f64 l l (/.f64 (*.f64 l l) (*.f64 x x))) (-.f64 (neg.f64 (fma.f64 l l (/.f64 (*.f64 l l) (*.f64 x x)))) (/.f64 (fma.f64 l l (*.f64 l l)) x))) x)
(/ (- (+ (/ (pow l 2) (pow x 3)) (pow l 2)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) x)) (+ (* -1 (/ (- (pow l 2) (* -1 (pow l 2))) (pow x 2))) (+ (* -1 (/ (pow l 2) (pow x 3))) (* -1 (pow l 2)))))) x)
(/.f64 (-.f64 (fma.f64 l l (/.f64 (*.f64 l l) (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 (neg.f64 (fma.f64 l l (/.f64 (*.f64 l l) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 l l (*.f64 l l)) (*.f64 x x))) (/.f64 (fma.f64 l l (*.f64 l l)) x))) x)
(/ (- (pow l 2) (* -1 (pow l 2))) x)
(/.f64 (fma.f64 l l (*.f64 l l)) x)
(* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))
(neg.f64 (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (- (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (/ (pow l 2) x)) (* -1 (/ (pow l 2) x))) x))) x))
(/.f64 (-.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)
(* -1 (/ (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (+ (* -1 (- (* -1 (pow l 2)) (pow l 2))) (* -1 (/ (- (+ (* -1 (- (pow l 2) (* -1 (pow l 2)))) (* -1 (/ (pow l 2) x))) (/ (pow l 2) x)) x))) x))) x))
(/.f64 (-.f64 (neg.f64 (fma.f64 l l (*.f64 l l))) (/.f64 (-.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x))) x)) (neg.f64 x))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))
(*.f64 (*.f64 l l) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(* (pow l 2) (- (+ (/ 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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(* 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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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
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(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 l l) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 t (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)))))
(- (+ 1 (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (pow (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) 2)) (* (pow t 2) (* (pow x 3) (pow (sqrt 2) 2)))))) (+ (* -1 (/ (* (+ (* 2 (/ 1 (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (pow (sqrt 2) 2)))) (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (/ 2 (* x (pow (sqrt 2) 2))) (/ (pow l 2) (* (pow t 2) (* x (pow (sqrt 2) 2)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 l l) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 l l) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))) (*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 l l) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))))) (*.f64 (*.f64 t (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (* x (pow (sqrt 2) 2))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (* x (pow (sqrt 2) 4))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) x) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 t t))))) x))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 3) (* (pow t 6) (* x (pow (sqrt 2) 6))))) (* -1 (/ (pow (+ (* 2 (pow t 2)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 4))))) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) (pow (sqrt 2) 2))))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)))) (neg.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) x))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

eval159.0ms (1.2%)

Memory
0.2MiB live, 302.7MiB allocated
Compiler

Compiled 54 141 to 3 670 computations (93.2% saved)

prune162.0ms (1.2%)

Memory
-7.5MiB live, 278.4MiB allocated
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1 120241 144
Fresh13316
Picked505
Done000
Total1 138271 165
Accuracy
94.4%
Counts
1 165 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.2%
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
4.1%
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) l)
6.4%
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
75.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
4.2%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 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))))))
10.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
3.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (*.f64 l (neg.f64 l)))))
6.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))))))
14.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x)))
52.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
14.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))))
40.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
78.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
9.8%
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
79.0%
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
79.4%
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
79.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
79.3%
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
14.6%
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
22.1%
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
4.1%
(*.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 t (sqrt.f64 #s(literal 2 binary64))) l))
38.9%
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
9.8%
(*.f64 x (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 l l (*.f64 l l))))) (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 l l (*.f64 l l))))))))
9.8%
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 l l (*.f64 l l)))))) (fma.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 l l (*.f64 l l)))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 l l (*.f64 l l)) (pow.f64 x #s(literal 5 binary64)))))))))
79.1%
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
79.4%
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
77.9%
#s(literal 1 binary64)
Compiler

Compiled 1 344 to 800 computations (40.5% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize219.0ms (1.6%)

Memory
11.9MiB live, 283.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.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))))
accuracy99.6%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy97.5%
(*.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 t (sqrt.f64 #s(literal 2 binary64))) l))
accuracy45.3%
(+.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)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
accuracy99.6%
(*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
accuracy99.6%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy100.0%
(*.f64 t t)
accuracy100.0%
(*.f64 l l)
accuracy92.1%
(*.f64 (*.f64 t t) x)
accuracy71.6%
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x))
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)
Samples
45.0ms62×2valid
40.0ms84×1valid
33.0ms62×1invalid
26.0ms33×2invalid
5.0ms0invalid
2.0ms0valid
Compiler

Compiled 317 to 39 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-mult: 36.0ms (33.6% of total)
ival-div: 25.0ms (23.3% of total)
adjust: 17.0ms (15.9% of total)
ival-add: 14.0ms (13.1% of total)
ival-sqrt: 13.0ms (12.1% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
-10.5MiB live, 66.8MiB allocated
Counts
15 → 300
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)>
#<alt (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))>
#<alt (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x))>
#<alt (*.f64 (*.f64 t t) x)>
#<alt (*.f64 l l)>
#<alt (*.f64 t t)>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))>
#<alt (+.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)))>
#<alt (*.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 t (sqrt.f64 #s(literal 2 binary64))) l))>
#<alt (/.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))))>
Outputs
#<alt (* t (sqrt -1))>
#<alt (+ (* -1 (/ (* t x) (sqrt -1))) (* t (sqrt -1)))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* -1/2 (/ (* t (* x (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))>
#<alt (+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) (sqrt -1))) (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))))>
#<alt t>
#<alt (+ t (/ t x))>
#<alt (+ t (+ (* 1/2 (/ t (pow x 2))) (/ t x)))>
#<alt (+ t (+ (* 1/2 (/ t (pow x 2))) (+ (* 1/2 (/ t (pow x 3))) (/ t x))))>
#<alt (* t (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ t x)) (* t (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ t (* 1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) x))) x)) (* t (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (/ (+ t (* -1 (/ (+ (* -1/2 (* t (+ 2 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (* t (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x))) x))) x)) (* t (pow (sqrt -1) 2)))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* -1 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))>
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))>
#<alt (pow (sqrt -1) 2)>
#<alt (- (pow (sqrt -1) 2) (/ 1 x))>
#<alt (+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 (* x (pow (sqrt -1) 2))))>
#<alt (+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (/ (pow l 2) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))>
#<alt (/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))>
#<alt (/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (/ 2 x)>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))>
#<alt (/ (pow l 2) (* (pow t 2) x))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (/ (pow l 2) (* (pow t 2) x))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (* (pow t 2) x)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))>
#<alt (* t (* (sqrt -1) (sqrt 2)))>
#<alt (+ (* -1 (/ (* t (* x (sqrt 2))) (sqrt -1))) (* t (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* t (sqrt 2))>
#<alt (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))>
#<alt (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))>
#<alt (* t (* (sqrt -2) (sqrt -1)))>
#<alt (+ (* -1 (/ (* t (sqrt -2)) (* x (sqrt -1)))) (* t (* (sqrt -2) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt -2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (* x (sqrt -1)))) (/ (* t (sqrt -2)) (sqrt -1))) x)) (* t (* (sqrt -2) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt -2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) (* x (sqrt -1))))) x)) (/ (* t (sqrt -2)) (sqrt -1))) x)) (* t (* (sqrt -2) (sqrt -1))))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt (/ (- x 1) (+ 1 x)))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (/ (* (sqrt -1) (sqrt 2)) (sqrt -2))>
#<alt (+ (/ (sqrt 2) (* x (* (sqrt -2) (sqrt -1)))) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sqrt 2) (* (sqrt -2) (sqrt -1)))) (* 1/2 (/ (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* x (* (sqrt -2) (sqrt -1)))))) x)) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (sqrt 2) (* (sqrt -2) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* (sqrt -2) (sqrt -1)))) (* 1/2 (/ (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (* x (* (sqrt -2) (sqrt -1)))))) x))) x)) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))>
#<alt (/ (sqrt -1) (* t (sqrt 2)))>
#<alt (+ (/ x (* t (* (sqrt -1) (sqrt 2)))) (/ (sqrt -1) (* t (sqrt 2))))>
#<alt (+ (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* t (* (sqrt -1) (sqrt 2))))) (/ 1 (* t (* (sqrt -1) (sqrt 2)))))) (/ (sqrt -1) (* t (sqrt 2))))>
#<alt (+ (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* (sqrt -1) (sqrt 2))))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* t (* (sqrt -1) (sqrt 2))))))) (/ 1 (* t (* (sqrt -1) (sqrt 2)))))) (/ (sqrt -1) (* t (sqrt 2))))>
#<alt (/ 1 (* t (sqrt 2)))>
#<alt (- (/ 1 (* t (sqrt 2))) (/ 1 (* t (* x (sqrt 2)))))>
#<alt (- (+ (/ 1/2 (* t (* (pow x 2) (sqrt 2)))) (/ 1 (* t (sqrt 2)))) (/ 1 (* t (* x (sqrt 2)))))>
#<alt (- (+ (/ 1 (* t (sqrt 2))) (* 1/2 (/ 1 (* t (* (pow x 2) (sqrt 2)))))) (+ (/ 1 (* t (* x (sqrt 2)))) (* 1/2 (/ 1 (* t (* (pow x 3) (sqrt 2)))))))>
#<alt (/ (sqrt -1) (* t (sqrt -2)))>
#<alt (+ (/ 1 (* t (* x (* (sqrt -2) (sqrt -1))))) (/ (sqrt -1) (* t (sqrt -2))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* x (* (sqrt -2) (sqrt -1)))))) (/ 1 (* t (* (sqrt -2) (sqrt -1))))) x)) (/ (sqrt -1) (* t (sqrt -2))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* (sqrt -2) (sqrt -1))))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* t (* x (* (sqrt -2) (sqrt -1))))))) x)) (/ 1 (* t (* (sqrt -2) (sqrt -1))))) x)) (/ (sqrt -1) (* t (sqrt -2))))>
#<alt -2>
#<alt (- (* -2 x) 2)>
#<alt (- (* x (- (* -2 x) 2)) 2)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 2)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)>
#<alt (/ (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 2 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))>
#<alt (/ (* t (* (sqrt -1/2) (sqrt 2))) l)>
#<alt (+ (* 1/4 (/ (* t (* x (sqrt 2))) (* l (sqrt -1/2)))) (/ (* t (* (sqrt -1/2) (sqrt 2))) l))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))>
#<alt (* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))>
#<alt -1/2>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* 1/2 x) 1/2)>
#<alt (* 1/2 x)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))>
Calls

75 calls:

TimeVariablePointExpression
8.0ms
l
@inf
(* (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))) (/ (* t (sqrt 2)) l))
3.0ms
x
@-inf
(+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1))
1.0ms
x
@-inf
(* (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))) (/ (* t (sqrt 2)) l))
1.0ms
t
@0
(* (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))) (/ (* t (sqrt 2)) l))
1.0ms
x
@inf
(* (sqrt (/ 1 (+ (/ x (+ x -1)) (+ (/ 1 (+ x -1)) -1)))) (/ (* t (sqrt 2)) l))

rewrite286.0ms (2.1%)

Memory
33.2MiB live, 389.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 846×lower-*.f32
4 826×lower-*.f64
4 438×lower-/.f32
4 422×lower-/.f64
1 852×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033160
061158
1221142
21685138
08234135
Stop Event
iter limit
node limit
iter limit
Counts
15 → 513
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x))
(*.f64 (*.f64 t t) x)
(*.f64 l l)
(*.f64 t t)
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.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 (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 t (sqrt.f64 #s(literal 2 binary64))) l))
(/.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))))
Outputs
(/.f64 (*.f64 t (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) t) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) t)) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (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 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x 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 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (sqrt.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))))))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.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)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t)) #s(literal -1 binary64)))
(neg.f64 (/.f64 t (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(neg.f64 (/.f64 (neg.f64 t) (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))))
(/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))
(/.f64 (neg.f64 t) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 t))
(/.f64 (/.f64 t t) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) t)
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (/.f64 t t)) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(/.f64 (neg.f64 (*.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64))) (neg.f64 t))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t) t) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)))
(*.f64 t (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) #s(literal 1 binary64)))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 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)))) (pow.f64 (/.f64 t t) #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 l) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))) (neg.f64 (neg.f64 l)))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 l (*.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 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 l (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) t)) #s(literal -1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(*.f64 (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))) t) (/.f64 #s(literal 1 binary64) l))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(exp.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -2 binary64))
(pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (/.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.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 -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))

simplify330.0ms (2.5%)

Memory
-25.6MiB live, 451.9MiB allocated
Algorithm
egg-herbie
Rules
7 484×lower-fma.f64
7 484×lower-fma.f32
5 766×lower-*.f64
5 766×lower-*.f32
3 582×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04884239
115033775
257023745
086473655
Stop Event
iter limit
node limit
Counts
300 → 297
Calls
Call 1
Inputs
(* t (sqrt -1))
(+ (* -1 (/ (* t x) (sqrt -1))) (* t (sqrt -1)))
(+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* -1/2 (/ (* t (* x (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))
(+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) (sqrt -1))) (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))))
t
(+ t (/ t x))
(+ t (+ (* 1/2 (/ t (pow x 2))) (/ t x)))
(+ t (+ (* 1/2 (/ t (pow x 2))) (+ (* 1/2 (/ t (pow x 3))) (/ t x))))
(* t (pow (sqrt -1) 2))
(+ (* -1 (/ t x)) (* t (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ t (* 1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) x))) x)) (* t (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ t (* -1 (/ (+ (* -1/2 (* t (+ 2 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (* t (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x))) x))) x)) (* t (pow (sqrt -1) 2)))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(sqrt -1)
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(pow (sqrt -1) 2)
(- (pow (sqrt -1) 2) (/ 1 x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
1
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (pow l 2) (* (pow t 2) x))
(/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))
(/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))
(/ (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) (pow t 2))
(/ 2 x)
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(/ 2 x)
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(/ 2 x)
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))
(/ (pow l 2) (* (pow t 2) x))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(/ (pow l 2) (* (pow t 2) x))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(* (pow l 2) (+ (* 2 (/ 1 (* (pow l 2) x))) (/ 1 (* (pow t 2) x))))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(/ (+ (* 2 (pow t 2)) (pow l 2)) (* (pow t 2) x))
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(* (pow t 2) x)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))
(* 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))))))))
(* t (sqrt 2))
(+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x)))
(+ (* 1/2 (/ (* t (sqrt 2)) (pow x 2))) (+ (* 1/2 (/ (* t (sqrt 2)) (pow x 3))) (+ (* t (sqrt 2)) (/ (* t (sqrt 2)) x))))
(* t (* (sqrt -2) (sqrt -1)))
(+ (* -1 (/ (* t (sqrt -2)) (* x (sqrt -1)))) (* t (* (sqrt -2) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (/ (* t (* (sqrt -2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (* x (sqrt -1)))) (/ (* t (sqrt -2)) (sqrt -1))) x)) (* t (* (sqrt -2) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* t (* (sqrt -2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))))) (* x (sqrt -1))))) x)) (/ (* t (sqrt -2)) (sqrt -1))) x)) (* t (* (sqrt -2) (sqrt -1))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(/ (* (sqrt -1) (sqrt 2)) (sqrt -2))
(+ (/ (sqrt 2) (* x (* (sqrt -2) (sqrt -1)))) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))
(+ (* -1 (/ (+ (* -1 (/ (sqrt 2) (* (sqrt -2) (sqrt -1)))) (* 1/2 (/ (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* x (* (sqrt -2) (sqrt -1)))))) x)) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))
(+ (* -1 (/ (+ (* -1 (/ (sqrt 2) (* (sqrt -2) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* (sqrt -2) (sqrt -1)))) (* 1/2 (/ (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (* x (* (sqrt -2) (sqrt -1)))))) x))) x)) (/ (* (sqrt -1) (sqrt 2)) (sqrt -2)))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(* (/ 1 (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))
(/ (sqrt -1) (* t (sqrt 2)))
(+ (/ x (* t (* (sqrt -1) (sqrt 2)))) (/ (sqrt -1) (* t (sqrt 2))))
(+ (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* t (* (sqrt -1) (sqrt 2))))) (/ 1 (* t (* (sqrt -1) (sqrt 2)))))) (/ (sqrt -1) (* t (sqrt 2))))
(+ (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* (sqrt -1) (sqrt 2))))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (* t (* (sqrt -1) (sqrt 2))))))) (/ 1 (* t (* (sqrt -1) (sqrt 2)))))) (/ (sqrt -1) (* t (sqrt 2))))
(/ 1 (* t (sqrt 2)))
(- (/ 1 (* t (sqrt 2))) (/ 1 (* t (* x (sqrt 2)))))
(- (+ (/ 1/2 (* t (* (pow x 2) (sqrt 2)))) (/ 1 (* t (sqrt 2)))) (/ 1 (* t (* x (sqrt 2)))))
(- (+ (/ 1 (* t (sqrt 2))) (* 1/2 (/ 1 (* t (* (pow x 2) (sqrt 2)))))) (+ (/ 1 (* t (* x (sqrt 2)))) (* 1/2 (/ 1 (* t (* (pow x 3) (sqrt 2)))))))
(/ (sqrt -1) (* t (sqrt -2)))
(+ (/ 1 (* t (* x (* (sqrt -2) (sqrt -1))))) (/ (sqrt -1) (* t (sqrt -2))))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* x (* (sqrt -2) (sqrt -1)))))) (/ 1 (* t (* (sqrt -2) (sqrt -1))))) x)) (/ (sqrt -1) (* t (sqrt -2))))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* t (* (sqrt -2) (sqrt -1))))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* t (* x (* (sqrt -2) (sqrt -1))))))) x)) (/ 1 (* t (* (sqrt -2) (sqrt -1))))) x)) (/ (sqrt -1) (* t (sqrt -2))))
-2
(- (* -2 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 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)
(/ 2 x)
(/ (+ 2 (* 2 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2) x))
(/ (* 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))
(* (/ (* 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)))))))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x)))))))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
-1/2
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(- (* 1/2 x) 1/2)
(* 1/2 x)
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
Outputs
(* t (sqrt -1))
(*.f64 t (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ (* t x) (sqrt -1))) (* t (sqrt -1)))
(-.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (*.f64 t (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))
(+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* -1/2 (/ (* t (* x (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))))
(fma.f64 x (-.f64 (*.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 t (sqrt.f64 #s(literal -1 binary64)))) (*.f64 t (sqrt.f64 #s(literal -1 binary64))))
(+ (* t (sqrt -1)) (* x (+ (* -1 (/ t (sqrt -1))) (* x (+ (* -1/2 (/ (* t (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) (sqrt -1))) (* -1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))))))
(fma.f64 x (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 t (sqrt.f64 #s(literal -1 binary64))))) (/.f64 t (sqrt.f64 #s(literal -1 binary64)))) (*.f64 t (sqrt.f64 #s(literal -1 binary64))))
t
(+ t (/ t x))
(+.f64 t (/.f64 t x))
(+ t (+ (* 1/2 (/ t (pow x 2))) (/ t x)))
(+.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 t (*.f64 x x)) (/.f64 t x)))
(+ t (+ (* 1/2 (/ t (pow x 2))) (+ (* 1/2 (/ t (pow x 3))) (/ t x))))
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 t (*.f64 x x)) (/.f64 t (*.f64 x (*.f64 x x)))) (+.f64 t (/.f64 t x)))
(* t (pow (sqrt -1) 2))
(neg.f64 t)
(+ (* -1 (/ t x)) (* t (pow (sqrt -1) 2)))
(-.f64 (/.f64 t (neg.f64 x)) t)
(+ (* -1 (/ (+ t (* 1/2 (/ (* t (+ 2 (/ 1 (pow (sqrt -1) 2)))) x))) x)) (* t (pow (sqrt -1) 2)))
(-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 t x) (neg.f64 t)) x) t)
(+ (* -1 (/ (+ t (* -1 (/ (+ (* -1/2 (* t (+ 2 (/ 1 (pow (sqrt -1) 2))))) (* -1/2 (/ (* t (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x))) x))) x)) (* t (pow (sqrt -1) 2)))
(-.f64 (neg.f64 t) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 t (/.f64 t x)) x) t) x))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(* t (sqrt (/ (+ 1 x) (- x 1))))
(*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* -1 (/ x (sqrt -1))))
(-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (- (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (- (* x (+ (* -1/2 (/ (* x (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) (sqrt -1))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (+ (/ 1/2 (pow x 2)) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(+ 1 (+ (/ 1/2 (pow x 2)) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(- (pow (sqrt -1) 2) (/ 1 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ (* -1 (/ (+ 1 (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x))) x)) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) x))) x))) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) x))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt (/ (- x 1) (+ 1 x)))
(sqrt.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (* x (pow (sqrt -1) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (pow (sqrt -1) 2)))) (/ 1 (pow (sqrt -1) 2))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* x (pow (sqrt -1) 2))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))
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(*.f64 (fma.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 l (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 l (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64))))) (neg.f64 x))
(* -1 (* x (+ (* -1/4 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -1/2))) (sqrt (/ 1 (pow x 3))))) (+ (* -1/32 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 3))) (sqrt (/ 1 (pow x 5))))) (+ (* -1/128 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (pow (sqrt -1/2) 5))) (sqrt (/ 1 (pow x 7))))) (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt (/ 1 x))))))))
(*.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 l (sqrt.f64 #s(literal -1/2 binary64)))) (fma.f64 t (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (*.f64 l (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/32 binary64)) (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 l (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64)))))))) (neg.f64 x))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(- (* 1/2 x) 1/2)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/2 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)))

eval159.0ms (1.2%)

Memory
13.6MiB live, 197.7MiB allocated
Compiler

Compiled 27 275 to 3 521 computations (87.1% saved)

prune122.0ms (0.9%)

Memory
11.0MiB live, 247.4MiB allocated
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New9898997
Fresh111122
Picked415
Done000
Total1 004201 024
Accuracy
99.2%
Counts
1 024 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
66.6%
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
4.1%
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) l)
6.4%
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
75.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
10.1%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
14.7%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x)))
52.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
79.4%
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
40.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
78.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
79.3%
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
20.0%
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 x))
14.6%
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
20.6%
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
20.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
38.9%
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
20.0%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
79.4%
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
77.9%
#s(literal 1 binary64)
Compiler

Compiled 794 to 482 computations (39.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize89.0ms (0.7%)

Memory
26.9MiB live, 143.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
accuracy95.9%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x)))
accuracy95.2%
(/.f64 (fma.f64 l l (*.f64 l l)) x)
accuracy75.7%
(sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy99.8%
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
accuracy99.6%
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
accuracy97.5%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
accuracy99.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
Samples
30.0ms153×0valid
23.0ms103×0invalid
Compiler

Compiled 161 to 31 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sqrt: 12.0ms (33.7% of total)
ival-div: 9.0ms (25.3% of total)
ival-mult: 8.0ms (22.5% of total)
ival-add: 5.0ms (14% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory
-2.5MiB live, 35.3MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 x #s(literal -1 binary64)))>
#<alt (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))>
#<alt (*.f64 t (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)>
#<alt (sqrt.f64 #s(literal 2 binary64))>
#<alt (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x))>
#<alt (/.f64 (fma.f64 l l (*.f64 l l)) x)>
#<alt (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x)))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)>
Outputs
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -2 x))) 1)>
#<alt (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))>
#<alt (/ -1 x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt (/ (- x 1) x)>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (- 1 (/ 1 x))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ x (sqrt -1)))>
#<alt (+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))>
#<alt (pow (sqrt -1) 2)>
#<alt (+ (/ 1 x) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))>
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 3/8 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))>
#<alt (sqrt (/ 1 x))>
#<alt (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))>
#<alt (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))>
#<alt (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (sqrt x)>
#<alt (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))>
#<alt (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (/ (* t (sqrt 2)) l)>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (sqrt 2)) (sqrt (/ 1 x)))>
#<alt (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))>
#<alt (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))>
#<alt (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))>
#<alt (* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* 2 (/ (pow l 2) x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* -1 (* (/ t l) (sqrt x)))>
#<alt (* -1 (* (/ t l) (sqrt x)))>
#<alt (* -1 (* (/ t l) (sqrt x)))>
#<alt (* -1 (* (/ t l) (sqrt x)))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* (/ t l) (sqrt x))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))>
#<alt (* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
#<alt (* t (sqrt 2))>
Calls

69 calls:

TimeVariablePointExpression
34.0ms
x
@0
(* (sqrt (* x 1/2)) (/ (* t (sqrt 2)) l))
1.0ms
x
@-inf
(* (sqrt (* x 1/2)) (/ (* t (sqrt 2)) l))
1.0ms
t
@0
(* (sqrt (* x 1/2)) (/ (* t (sqrt 2)) l))
1.0ms
l
@0
(sqrt (/ (+ (* l l) (* l l)) x))
1.0ms
l
@0
(* (sqrt (* x 1/2)) (/ (* t (sqrt 2)) l))

rewrite77.0ms (0.6%)

Memory
-43.1MiB live, 61.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
528×lower-/.f32
516×lower-/.f64
470×lower-*.f32
458×lower-*.f64
158×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029108
051102
116895
0103495
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 231
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x))
(/.f64 (fma.f64 l l (*.f64 l l)) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (fma.f64 l l (*.f64 l l)) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
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(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 l l) #s(literal 0 binary64)) (*.f64 l (+.f64 l l))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 l l) (*.f64 l l) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(pow.f64 (*.f64 x (*.f64 l (+.f64 l l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(*.f64 l (*.f64 (+.f64 l l) (/.f64 #s(literal 1 binary64) x)))
(*.f64 l (/.f64 (+.f64 l l) x))
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 l (+.f64 l l)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 l (+.f64 l l)))
(neg.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))))
(neg.f64 (/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))))
(/.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))))
(*.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 t (sqrt.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 l (+.f64 l l)))) (sqrt.f64 x))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)

simplify364.0ms (2.7%)

Memory
47.2MiB live, 584.3MiB allocated
Algorithm
egg-herbie
Rules
12 746×lower-fma.f64
12 746×lower-fma.f32
6 006×lower-*.f64
6 006×lower-*.f32
3 314×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02452438
16992212
221572172
368932163
085192114
Stop Event
iter limit
node limit
Counts
276 → 272
Calls
Call 1
Inputs
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(pow (sqrt -1) 2)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -2 x))) 1)
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))
(/ -1 x)
(/ (- x 1) x)
(/ (- x 1) x)
(/ (- x 1) x)
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
1
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(- 1 (/ 1 x))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(sqrt -1)
(+ (sqrt -1) (/ x (sqrt -1)))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(pow (sqrt -1) 2)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* 3/8 x) 1/2)))
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (* (sqrt -1/2) (sqrt 2)))) l) (sqrt x)))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* (/ (* t (* (sqrt 1/2) (sqrt 2))) l) (sqrt x))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(/ (* t (sqrt 2)) l)
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* 2 (/ (pow l 2) x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* -1 (* (/ t l) (sqrt x)))
(* -1 (* (/ t l) (sqrt x)))
(* -1 (* (/ t l) (sqrt x)))
(* -1 (* (/ t l) (sqrt x)))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* (/ t l) (sqrt x))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
(* t (sqrt 2))
Outputs
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ x (sqrt -1)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1)))))
(fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1)))))
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3)))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (/ 1 x) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) x)) x)) x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 x) 1)
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(- (* x (+ 2 (* -2 x))) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
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(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(/ (* t (sqrt 2)) l)
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* -1 (* (* l (sqrt 2)) (sqrt (/ 1 x))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) l)))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (sqrt 2)) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 l (sqrt.f64 #s(literal -2 binary64)))))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 l (sqrt.f64 #s(literal -2 binary64)))))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 l (sqrt.f64 #s(literal -2 binary64)))))
(* (* l (* (sqrt -2) (sqrt -1))) (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 l (sqrt.f64 #s(literal -2 binary64)))))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* 2 (/ (pow l 2) x))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 l l) x))
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* -1 (* (/ t l) (sqrt x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) t) l))
(* -1 (* (/ t l) (sqrt x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) t) l))
(* -1 (* (/ t l) (sqrt x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) t) l))
(* -1 (* (/ t l) (sqrt x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) t) l))
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* (/ t l) (sqrt x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 l (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 l (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 l (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (/ (* t (* (sqrt -1) (sqrt 2))) (* l (sqrt -2))) (sqrt x)))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 l (sqrt.f64 #s(literal -2 binary64))))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))
(* t (sqrt 2))
(*.f64 t (sqrt.f64 #s(literal 2 binary64)))

eval61.0ms (0.5%)

Memory
-18.5MiB live, 108.3MiB allocated
Compiler

Compiled 7 052 to 894 computations (87.3% saved)

prune135.0ms (1%)

Memory
-5.5MiB live, 117.0MiB allocated
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New5607567
Fresh7714
Picked325
Done011
Total57017587
Accuracy
100.0%
Counts
587 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.4%
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
66.6%
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
22.3%
(/.f64 (*.f64 (sqrt.f64 x) t) l)
75.0%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
52.5%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
40.2%
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
3.7%
(/.f64 #s(literal -1 binary64) x)
78.6%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
22.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
20.6%
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
20.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
20.0%
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t l)))
22.3%
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
35.5%
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
79.4%
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
78.6%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
77.9%
#s(literal 1 binary64)
Compiler

Compiled 1 474 to 454 computations (69.2% saved)

regimes102.0ms (0.8%)

Memory
1.8MiB live, 156.7MiB allocated
Counts
61 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t l)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (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 (fma.f64 l l (*.f64 l l)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 t (sqrt.f64 (*.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) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (*.f64 l (neg.f64 l)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.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))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.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 (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 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
(*.f64 x (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 l l (*.f64 l l))))) (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 l l (*.f64 l l))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 l l)))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))) l)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 l l (*.f64 l l)))))) (fma.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 l l (*.f64 l l)))))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 l l (*.f64 l l)) (pow.f64 x #s(literal 5 binary64)))))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
Calls

6 calls:

19.0ms
l
17.0ms
x
16.0ms
t
15.0ms
(/.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))))
15.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
86.1%5x
84.0%2l
87.9%3t
81.8%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))))
79.4%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
82.1%2(*.f64 l l)
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes19.0ms (0.1%)

Memory
-5.9MiB live, 32.8MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t l)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (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 (fma.f64 l l (*.f64 l l)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 t (sqrt.f64 (*.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) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (*.f64 l (neg.f64 l)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.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))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.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 (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 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
(*.f64 x (fma.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 l l (*.f64 l l))))) (*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 l l (*.f64 l l))))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
Calls

1 calls:

16.0ms
t
Results
AccuracySegmentsBranch
87.7%3t
Compiler

Compiled 4 to 3 computations (25% saved)

regimes34.0ms (0.3%)

Memory
16.7MiB live, 55.2MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t l)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 x (fma.f64 l l (*.f64 l l)))))
(*.f64 (*.f64 (*.f64 t (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (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 (fma.f64 l l (*.f64 l l)) x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (*.f64 t t)) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 l (neg.f64 l) (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 t (sqrt.f64 (*.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) (sqrt.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (*.f64 l (neg.f64 l)))))
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 l (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 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 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) l) l) (+.f64 x #s(literal -1 binary64))) (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (*.f64 (*.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))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (*.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 (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 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 l l (*.f64 l l)) (/.f64 (fma.f64 l l (*.f64 l l)) x)) (neg.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 l l)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l))) (*.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) l) l (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 2 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)))))
Outputs
(*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
Calls

2 calls:

16.0ms
l
15.0ms
t
Results
AccuracySegmentsBranch
84.0%2l
83.4%2t
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t l)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) l))
(*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
Outputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
Calls

1 calls:

7.0ms
l
Results
AccuracySegmentsBranch
84.0%2l
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-26.5MiB live, 16.9MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) #s(literal 2 binary64)) (*.f64 l l))
(fma.f64 (/.f64 (*.f64 l l) (*.f64 t (*.f64 t x))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) t) t)
(/.f64 (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))) t)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (*.f64 (*.f64 t t) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 l (/.f64 l (*.f64 t (*.f64 t x))) (/.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) #s(literal 1 binary64))
Outputs
(sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
Calls

1 calls:

7.0ms
l
Results
AccuracySegmentsBranch
84.0%2l
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 x) t) l)
Calls

2 calls:

3.0ms
l
3.0ms
t
Results
AccuracySegmentsBranch
80.9%2t
83.3%2l
Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-9.9MiB live, 28.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
Calls

6 calls:

4.0ms
(/.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))))
2.0ms
l
2.0ms
x
2.0ms
t
2.0ms
(*.f64 l l)
Results
AccuracySegmentsBranch
78.6%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
78.6%1t
78.6%1x
78.6%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))))
78.6%1(*.f64 l l)
78.6%1l
Compiler

Compiled 58 to 38 computations (34.5% saved)

regimes9.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Accuracy

Total -47.5b remaining (-335.7%)

Threshold costs -47.5b (-335.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
Outputs
#s(literal 1 binary64)
Calls

6 calls:

1.0ms
x
1.0ms
t
1.0ms
l
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
77.9%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))))
77.9%1x
77.9%1l
77.9%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
77.9%1(*.f64 l l)
77.9%1t
Compiler

Compiled 58 to 38 computations (34.5% saved)

bsearch59.0ms (0.4%)

Memory
8.1MiB live, 84.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
16.0ms
1.9997404697368556e+80
1.3894279345799729e+82
37.0ms
1.240289838818145e-157
7.211542981542067e-151
Samples
19.0ms95×1valid
14.0ms138×0valid
6.0ms21×1invalid
2.0ms2valid
1.0ms2invalid
0.0ms0invalid
Compiler

Compiled 1 164 to 591 computations (49.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 8.0ms (27% of total)
ival-div: 5.0ms (16.9% of total)
ival-sqrt: 5.0ms (16.9% of total)
ival-sub: 4.0ms (13.5% of total)
adjust: 4.0ms (13.5% of total)
ival-add: 4.0ms (13.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-42.8MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
1.9997404697368556e+80
1.3894279345799729e+82
1.0ms
1.240289838818145e-157
7.211542981542067e-151
Compiler

Compiled 939 to 516 computations (45% saved)

bsearch36.0ms (0.3%)

Memory
17.8MiB live, 56.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
3.769546700577648e+224
8.114396034982913e+226
Samples
16.0ms86×1valid
7.0ms36×1invalid
3.0ms26×0valid
1.0ms0invalid
Compiler

Compiled 264 to 199 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (24.9% of total)
adjust: 4.0ms (19.9% of total)
ival-div: 3.0ms (15% of total)
ival-add: 3.0ms (15% of total)
ival-sub: 3.0ms (15% of total)
ival-sqrt: 3.0ms (15% 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
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.769546700577648e+224
8.114396034982913e+226
Compiler

Compiled 222 to 178 computations (19.8% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.769546700577648e+224
8.114396034982913e+226
Compiler

Compiled 187 to 143 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.769546700577648e+224
8.114396034982913e+226
Compiler

Compiled 166 to 129 computations (22.3% saved)

simplify15.0ms (0.1%)

Memory
-17.9MiB live, 20.4MiB allocated
Algorithm
egg-herbie
Rules
72×unsub-neg_binary64
50×neg-mul-1_binary64
38×*-commutative_binary64
34×+-commutative_binary64
28×distribute-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071256
198256
2113256
3128256
4150256
5174256
6189256
7224256
8263256
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x)))) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))))
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x)))) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64)) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (sqrt.f64 x) t) l))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 x) t) l))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
Outputs
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x)))) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))))
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) (neg.f64 x))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 t t) x) (/.f64 (*.f64 l l) x))) x)))) (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x)))) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64))))
(if (<=.f64 t #s(literal 3787246772556913/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 l l)) (*.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 t #s(literal 599999999999999973831586271110906984744907486169596774865018014583660739920134144 binary64)) (/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (*.f64 t t) (/.f64 (*.f64 t t) x)) (/.f64 (*.f64 l l) x)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 t t) (*.f64 l l)) x)))) (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (*.f64 (/.f64 t (*.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) t)) #s(literal 1 binary64)) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (/.f64 t (*.f64 t (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 t (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 (sqrt.f64 x) t) l))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (sqrt.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 t (sqrt.f64 x)) l))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (sqrt.f64 x) t) l))
(if (<=.f64 l #s(literal 5599999999999999993853843928492564218486963045709976626479297452790326022762206168648444478000860491038161473591230204375547778101838511072351439791312513342830264891091146430848426303520982082707749315257474373159527332708352 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 t (sqrt.f64 x)) l))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)

soundness1.1s (7.9%)

Memory
46.8MiB live, 1 022.9MiB allocated
Rules
12 746×lower-fma.f64
12 746×lower-fma.f32
10 338×lower-fma.f64
10 338×lower-fma.f32
9 600×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029108
051102
116895
0103495
0131718595
1439217725
0863316707
04884239
115033775
257023745
086473655
067010103
123128916
086528526
038227
072223
1275213
22113209
08620208
02452438
16992212
221572172
368932163
085192114
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 675 to 375 computations (44.4% saved)

preprocess181.0ms (1.4%)

Memory
-31.6MiB live, 257.7MiB allocated
Remove

(abs l)

Compiler

Compiled 1 142 to 432 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...