Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.2s (16.9%)

Memory
21.8MiB live, 1 686.7MiB allocated; 411ms collecting garbage
Samples
833.0ms8 256×0valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
ival-mult: 138.0ms (25.5% of total)
ival-sqrt: 135.0ms (24.9% of total)
ival-add: 115.0ms (21.3% of total)
ival-sub: 74.0ms (13.7% of total)
ival-div: 55.0ms (10.2% of total)
exact: 12.0ms (2.2% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain158.0ms (2.2%)

Memory
9.7MiB live, 195.5MiB allocated; 31ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
00-0-#s(literal 4 binary64)
00-0-#s(literal 6 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms464×0valid
5.0ms22×2valid
4.0ms26×1valid
Compiler

Compiled 104 to 37 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 18.0ms (46.9% of total)
ival-add: 5.0ms (13% of total)
ival-div: 4.0ms (10.4% of total)
ival-sqrt: 4.0ms (10.4% of total)
adjust: 3.0ms (7.8% of total)
ival-sub: 3.0ms (7.8% of total)
exact: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess27.0ms (0.4%)

Memory
-18.4MiB live, 27.1MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
13134
27433
311933
416033
516833
617733
719032
821132
922232
01114
01814
13214
25414
37214
49514
09513
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff1
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
01843
13243
25443
37243
49543
09541
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)

localize49.0ms (0.7%)

Memory
-9.5MiB live, 92.6MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.1015625
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Samples
35.0ms232×0valid
3.0ms13×1valid
2.0ms11×2valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 4.0ms (28.8% of total)
ival-div: 2.0ms (14.4% of total)
ival-add: 2.0ms (14.4% of total)
ival-sub: 2.0ms (14.4% of total)
ival-sqrt: 2.0ms (14.4% of total)
adjust: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-10.4MiB live, 32.1MiB allocated; 9ms collecting garbage
Counts
5 → 30
Calls
Call 1
Inputs
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
-1
(- x 1)
(sqrt x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- x 1) (sqrt x))
2.0ms
x
@inf
((+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- x 1) (sqrt x))
2.0ms
x
@0
((+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- x 1) (sqrt x))

simplify196.0ms (2.8%)

Memory
37.1MiB live, 268.7MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131842
1389715
21309691
35745665
08405615
Stop Event
iter limit
node limit
Counts
30 → 29
Calls
Call 1
Inputs
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
-1
(- x 1)
(sqrt x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
x
(* x (- 1 (/ 1 x)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 (/.f64 (+.f64 (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x) #s(literal -6 binary64) (fma.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) x) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) x) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 #s(literal 6 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x)) x) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) (/.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 4 binary64)))) x)) #s(literal -6 binary64)) x)) x) (/.f64 #s(literal 6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite569.0ms (8.1%)

Memory
-45.1MiB live, 303.4MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16732
247032
3695032
0811830
Stop Event
iter limit
node limit
iter limit
Counts
5 → 333
Calls
Call 1
Inputs
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64)))) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) x (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (sqrt.f64 x) (*.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (sqrt.f64 x) (*.f64 #s(literal 16 binary64) x))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (sqrt.f64 x) (*.f64 #s(literal 16 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (sqrt.f64 x) (*.f64 #s(literal 16 binary64) x)) (-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -4 binary64)) (sqrt.f64 x) (*.f64 #s(literal 16 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 16 binary64) x)) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 16 binary64) x))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) #s(literal 1 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64)))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (log.f64 x))
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval82.0ms (1.2%)

Memory
3.6MiB live, 105.3MiB allocated; 13ms collecting garbage
Compiler

Compiled 11 434 to 1 250 computations (89.1% saved)

prune10.0ms (0.1%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3538361
Fresh000
Picked101
Done000
Total3548362
Accuracy
100.0%
Counts
362 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
53.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
99.8%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
50.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
50.9%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
100.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
75.6%
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.6%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Compiler

Compiled 302 to 232 computations (23.2% saved)

simplify404.0ms (5.7%)

Memory
-49.6MiB live, 442.1MiB allocated; 169ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
cost-diff12
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff1
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038281
063264
1110264
2190264
3489264
42389264
09063264
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 6 binary64)
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 2 binary64)
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
#s(literal 4 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 6 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
x
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 6 binary64)
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 2 binary64)
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))

localize121.0ms (1.7%)

Memory
19.4MiB live, 157.2MiB allocated; 21ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0.1015625
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
accuracy0.2890625
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
accuracy15.023430977652092
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
accuracy0.00390625
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
accuracy0.0
(sqrt.f64 x)
accuracy0.1015625
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.125
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy30.026239534396787
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 x)
accuracy0.1484375
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy31.58145355955642
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
accuracy0.0234375
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
accuracy0.03125
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
Samples
57.0ms232×0valid
8.0ms11×2valid
6.0ms13×1valid
Compiler

Compiled 267 to 31 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 13.0ms (31.3% of total)
ival-add: 8.0ms (19.3% of total)
ival-div: 7.0ms (16.9% of total)
adjust: 4.0ms (9.6% of total)
ival-sub: 4.0ms (9.6% of total)
ival-pow2: 3.0ms (7.2% of total)
ival-sqrt: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory
-1.7MiB live, 41.9MiB allocated; 11ms collecting garbage
Counts
19 → 84
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ -1 (+ 1 (* 4 (sqrt x))))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
-1
(- x 1)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(sqrt x)
-6
(- (* 6 x) 6)
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (pow (+ 1 (* 4 (sqrt x))) 2))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(pow (+ 1 (* 4 (sqrt x))) 2)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))
x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x)))))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)) (* 6 (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (pow x 2)))))
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(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))) x)
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(* 16 x)
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (* 16 (/ 1 x))))
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (/ 1 x)) (/ 1 (pow x 2)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
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(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
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(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
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(* -16 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
Calls

3 calls:

TimeVariablePointExpression
30.0ms
x
@-inf
((* (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) 6) (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (- x 1) (+ (* (sqrt x) 4) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (* 6 x) -6) (* (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (- x (+ (* (sqrt x) 4) 1))) (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (* (- x 1) 6) (pow (+ (* (sqrt x) 4) 1) 2))
8.0ms
x
@inf
((* (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) 6) (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (- x 1) (+ (* (sqrt x) 4) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (* 6 x) -6) (* (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (- x (+ (* (sqrt x) 4) 1))) (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (* (- x 1) 6) (pow (+ (* (sqrt x) 4) 1) 2))
3.0ms
x
@0
((* (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) 6) (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (- x 1) (+ (* (sqrt x) 4) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* (sqrt x) 4) 1) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (+ (* 6 x) -6) (* (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (- x (+ (* (sqrt x) 4) 1))) (/ (* (- x 1) 6) (- (* x x) (pow (+ (* (sqrt x) 4) 1) 2))) (* (- x 1) 6) (pow (+ (* (sqrt x) 4) 1) 2))

simplify219.0ms (3.1%)

Memory
5.4MiB live, 194.2MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04754336
115183473
261483358
083933122
Stop Event
iter limit
node limit
Counts
84 → 83
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
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(/ -1 (+ 1 (* 4 (sqrt x))))
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-1
(- x 1)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(sqrt x)
-6
(- (* 6 x) 6)
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ 6 (pow (+ 1 (* 4 (sqrt x))) 2))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
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(pow (+ 1 (* 4 (sqrt x))) 2)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
(- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))
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x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x)))))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)) (* 6 (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (pow x 2)))))
(+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (pow x 3))) (+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)) (* 6 (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (pow x 2))))))
(/ 6 (* x (- 1 (* 16 (/ 1 x)))))
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))) x)
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (+ (* 6 (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (pow x 2))) (* 6 (/ 1 (- 1 (* 16 (/ 1 x))))))) x)
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 3)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (- 1 (* 16 (/ 1 x)))))) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (pow x 3))) (+ (* 6 (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (pow x 2))) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))))) x)
(* 16 x)
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (* 16 (/ 1 x))))
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (/ 1 x)) (/ 1 (pow x 2)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(+ (* -6 (/ (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(+ (* -1 (/ (+ (* -6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))) x)) (* 6 (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(/ 6 (* x (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(* -1 (/ (- (* 6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))))) (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -16 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -6 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))) x (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/ -1 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(-.f64 (/.f64 (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(fma.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 (+.f64 x (/.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))) #s(literal -6 binary64) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 8 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 3 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))))) #s(literal -8 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x))) x) (fma.f64 (*.f64 #s(literal 8 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 3 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))))) x)) x) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))) (neg.f64 x))
(* -16 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 16 binary64) x)
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 8 binary64) (/.f64 #s(literal 16 binary64) x)) (*.f64 x x))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal 16 binary64)) x) (*.f64 x x))

rewrite237.0ms (3.4%)

Memory
22.7MiB live, 409.6MiB allocated; 71ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038204
063199
1238199
21562199
08545199
Stop Event
iter limit
node limit
iter limit
Counts
19 → 551
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 #s(literal 6 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 #s(literal -6 binary64) (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal 16 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))
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(fabs.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
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(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))

eval211.0ms (3%)

Memory
-9.6MiB live, 276.2MiB allocated; 33ms collecting garbage
Compiler

Compiled 30 032 to 3 125 computations (89.6% saved)

prune43.0ms (0.6%)

Memory
18.9MiB live, 62.8MiB allocated; 5ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New80611817
Fresh033
Picked325
Done000
Total80916825
Accuracy
100.0%
Counts
825 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
99.8%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
53.1%
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.9%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
100.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
53.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
75.6%
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
53.1%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
50.6%
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
50.6%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 697 to 522 computations (25.1% saved)

simplify21.0ms (0.3%)

Memory
-12.9MiB live, 31.1MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 6 binary64) x)
cost-diff0
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal 6 binary64) x)
cost-diff0
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
cost-diff1
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041306
061300
191300
2136300
3191300
4273300
5335300
6353300
7370300
8383300
9395300
10421300
11451300
12469300
0469297
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal -3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(literal -3/8 binary64)
(neg.f64 x)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
#s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(literal -3/8 binary64)
(neg.f64 x)
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
#s(approx (* 6 (- x 1)) (*.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
x
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
x
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)

localize95.0ms (1.3%)

Memory
15.0MiB live, 157.8MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
accuracy0.09375
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy30.026239534396787
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy30.026239534396787
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy31.733260706006263
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
accuracy0.1328125
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
accuracy0.15234375
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
accuracy31.58145355955642
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
accuracy62.92842574307228
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
accuracy0.11328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.32421875
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy30.55394780561132
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy31.58145355955642
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
Samples
62.0ms232×0valid
7.0ms11×2valid
6.0ms13×1valid
Compiler

Compiled 215 to 32 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 15.0ms (30.6% of total)
ival-div: 12.0ms (24.5% of total)
ival-add: 9.0ms (18.4% of total)
adjust: 4.0ms (8.2% of total)
ival-sqrt: 4.0ms (8.2% of total)
ival-sub: 3.0ms (6.1% of total)
exact: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-31.3MiB live, 13.3MiB allocated; 8ms collecting garbage
Counts
20 → 44
Calls
Call 1
Inputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(sqrt.f64 x)
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(* -3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(- (* -3/2 (sqrt x)) 3/8)
(* 6 x)
(sqrt x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* -3/2 (sqrt x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
((/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* 6 x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- (* 6 x) 6) (sqrt x))
2.0ms
x
@0
((/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* 6 x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- (* 6 x) 6) (sqrt x))
2.0ms
x
@inf
((/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* -3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (+ (* -3/2 (sqrt x)) -3/8) (neg x)) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (+ (* -3/2 (sqrt x)) -3/8) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (* 6 x) (+ (+ x 1) (* 4 (sqrt x))) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (* 6 (- x 1)) (- (* 6 x) 6) (sqrt x))

simplify163.0ms (2.3%)

Memory
29.4MiB live, 216.6MiB allocated; 47ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01901047
1586895
22050853
08659784
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
-6
(- (* 6 x) 6)
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(* -3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(- (* -3/2 (sqrt x)) 3/8)
(* 6 x)
(sqrt x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* -3/2 (sqrt x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (+.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (/.f64 x (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) x (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 1 binary64))
(* -3/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(- (* -3/2 (sqrt x)) 3/8)
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(sqrt x)
(sqrt.f64 x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) #s(literal -6 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) x) #s(literal 6 binary64) #s(literal 6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(fma.f64 #s(literal -6 binary64) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) x) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/.f64 (fma.f64 #s(literal -3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(/.f64 (fma.f64 #s(literal -3/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 3/128 binary64) x)) #s(literal 3/8 binary64))) x)
(* 3/2 (sqrt (/ 1 x)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/8 binary64) x))
(* -3/2 (sqrt x))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(fma.f64 (*.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 #s(literal 6 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x)) x) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 4 binary64)))) x))) x)) x) (/.f64 #s(literal 6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) (fma.f64 (/.f64 #s(literal -3/32 binary64) x) (sqrt.f64 x) #s(literal 3/8 binary64))) x)
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) (-.f64 (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -3/32 binary64) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 3/128 binary64))) (*.f64 x x)) #s(literal -3/8 binary64))) x)
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(fma.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/8 binary64) x))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(fma.f64 (*.f64 x #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/8 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite464.0ms (6.6%)

Memory
-11.7MiB live, 376.0MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041246
061241
1224234
21330234
08419234
Stop Event
iter limit
node limit
iter limit
Counts
20 → 290
Calls
Call 1
Inputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal 6 binary64) x)
#s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) x))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 #s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))))
#s(approx (* 6 (- x 1)) (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))) (*.f64 (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)) (*.f64 (neg.f64 x) #s(literal 6 binary64)))) (+.f64 #s(literal -6 binary64) (*.f64 (neg.f64 x) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 #s(literal -6 binary64) x))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))) (*.f64 (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))))) (-.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (fma.f64 (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 36 binary64) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))))
(/.f64 (-.f64 #s(literal -216 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 6 binary64)) (*.f64 (neg.f64 x) #s(literal 6 binary64)) (*.f64 #s(literal -6 binary64) (*.f64 (neg.f64 x) #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal -216 binary64) (pow.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 #s(literal -6 binary64) x) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))) (/.f64 #s(literal -216 binary64) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 36 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) #s(literal 36 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))) #s(literal -216 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x))) (-.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 36 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (neg.f64 (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (neg.f64 (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 36 binary64)) (-.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 36 binary64)) x (fma.f64 x #s(literal 36 binary64) #s(literal 36 binary64))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
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eval113.0ms (1.6%)

Memory
6.1MiB live, 243.3MiB allocated; 19ms collecting garbage
Compiler

Compiled 15 118 to 1 668 computations (89% saved)

prune108.0ms (1.5%)

Memory
11.5MiB live, 116.3MiB allocated; 17ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New3755380
Fresh279
Picked235
Done022
Total37917396
Accuracy
100.0%
Counts
396 → 17
Alt Table
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StatusAccuracyProgram
74.9%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
99.8%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
53.1%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.9%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
100.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
53.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
75.6%
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
53.1%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
50.6%
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
50.6%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 679 to 506 computations (25.5% saved)

simplify130.0ms (1.9%)

Memory
7.3MiB live, 93.8MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
cost-diff0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
cost-diff0
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
cost-diff0
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
cost-diff0
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
cost-diff15
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046317
070315
1124315
2286299
31185299
45213299
09115297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 6 binary64)
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 6 binary64)
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
#s(literal -3/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 4 binary64)
(sqrt.f64 x)
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
x
#s(literal -6 binary64)
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal 4 binary64)
#s(literal 1 binary64)

localize162.0ms (2.3%)

Memory
-8.2MiB live, 132.9MiB allocated; 24ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.0
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy30.026239534396787
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.00390625
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
accuracy0.125
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
accuracy31.820762329500234
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
accuracy0.11328125
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
accuracy0.32421875
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
accuracy31.58145355955642
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
accuracy62.856498076119024
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
accuracy0.0
(sqrt.f64 x)
accuracy0.234375
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
accuracy30.55394780561132
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
accuracy31.58145355955642
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
accuracy0.08203125
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
accuracy0.1015625
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
accuracy0.2890625
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy15.023430977652092
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
Samples
65.0ms232×0valid
32.0ms11×2valid
7.0ms13×1valid
Compiler

Compiled 273 to 36 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 25.0ms (35.2% of total)
adjust: 18.0ms (25.3% of total)
ival-div: 10.0ms (14.1% of total)
ival-add: 9.0ms (12.7% of total)
ival-sub: 4.0ms (5.6% of total)
ival-sqrt: 4.0ms (5.6% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.5%)

Memory
-22.3MiB live, 23.3MiB allocated; 8ms collecting garbage
Counts
20 → 74
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* -1 (pow (+ 1 (* 4 (sqrt x))) 2))
(- (pow x 2) (pow (+ 1 (* 4 (sqrt x))) 2))
(/ 6 (pow (+ 1 (* 4 (sqrt x))) 2))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
-6
(- (* 6 x) 6)
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* -3/2 (sqrt (/ 1 x)))
(sqrt x)
(* 3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(pow (+ 1 (* 4 (sqrt x))) 2)
(* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x)))))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)) (* 6 (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (pow x 2)))))
(+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (pow x 3))) (+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)) (* 6 (/ (- (/ 1 (- 1 (* 16 (/ 1 x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) (- 1 (* 16 (/ 1 x)))))) (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2))))) (pow x 2))))))
(* (pow x 2) (- 1 (* 16 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* -8 (sqrt (/ 1 (pow x 3))))) (* 16 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* 8 (sqrt (/ 1 x))) (/ 1 x)) x))) (* 16 (/ 1 x))))
(/ 6 (* x (- 1 (* 16 (/ 1 x)))))
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))) x)
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (+ (* 6 (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (pow x 2))) (* 6 (/ 1 (- 1 (* 16 (/ 1 x))))))) x)
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 3)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (- 1 (* 16 (/ 1 x)))))) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (pow x 3))) (+ (* 6 (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (pow x 2))) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))))) x)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* 16 x)
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (* 16 (/ 1 x))))
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (/ 1 x)) (/ 1 (pow x 2)))))
(* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(+ (* -6 (/ (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(+ (* -1 (/ (+ (* -6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))) x)) (* 6 (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(* (pow x 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))
(* (pow x 2) (- (+ 1 (* 8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -16 (/ (pow (sqrt -1) 2) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ 1 x) (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) (* -16 (/ (pow (sqrt -1) 2) x))))
(/ 6 (* x (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(* -1 (/ (- (* 6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))))) (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -16 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
Calls

3 calls:

TimeVariablePointExpression
29.0ms
x
@-inf
((* (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (- x (+ (* (sqrt x) 4) 1))) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1))) (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (* (- x 1) 6) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* 3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))
2.0ms
x
@0
((* (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (- x (+ (* (sqrt x) 4) 1))) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1))) (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (* (- x 1) 6) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* 3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))
2.0ms
x
@inf
((* (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (- x (+ (* (sqrt x) 4) 1))) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1))) (/ (* (- x 1) 6) (- (* x x) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))) (* (- x 1) 6) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (/ -3/2 (sqrt x)) (sqrt x) (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/ -6 (+ (* (sqrt x) 4) 1)) (* 3/2 (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x)) (/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) (+ 1 x))) (* 6 (- x 1)) (+ (* 6 x) -6) (+ (* 4 (sqrt x)) (+ 1 x)) (* (+ (* 4 (sqrt x)) 1) (+ (* 4 (sqrt x)) 1)))

simplify308.0ms (4.4%)

Memory
6.3MiB live, 340.0MiB allocated; 37ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04353720
114062951
258232860
088322662
Stop Event
iter limit
node limit
Counts
74 → 74
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* -1 (pow (+ 1 (* 4 (sqrt x))) 2))
(- (pow x 2) (pow (+ 1 (* 4 (sqrt x))) 2))
(/ 6 (pow (+ 1 (* 4 (sqrt x))) 2))
(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
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(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
-6
(- (* 6 x) 6)
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(* -3/2 (sqrt (/ 1 x)))
(sqrt x)
(* 3/2 (sqrt (/ 1 x)))
(sqrt (/ 1 x))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(pow (+ 1 (* 4 (sqrt x))) 2)
(* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x)))))
(+ (* 6 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (* 6 (/ (- (* -1 (/ (- 1 (* 4 (sqrt (/ 1 x)))) (- 1 (* 16 (/ 1 x))))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (- 1 (* 4 (sqrt (/ 1 x)))) (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x)))))) x)))
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(* (pow x 2) (- 1 (* 16 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* -8 (sqrt (/ 1 (pow x 3))))) (* 16 (/ 1 x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (+ (* 8 (sqrt (/ 1 x))) (/ 1 x)) x))) (* 16 (/ 1 x))))
(/ 6 (* x (- 1 (* 16 (/ 1 x)))))
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (* 6 (/ 1 (- 1 (* 16 (/ 1 x)))))) x)
(/ (+ (* -6 (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) x)) (+ (* 6 (/ (- (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)) (* 8 (* (sqrt (/ 1 x)) (/ (+ (* -8 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (* 16 (/ 1 x))) 2)))) (/ 1 (- 1 (* 16 (/ 1 x))))) (- 1 (* 16 (/ 1 x))))))) (pow x 2))) (* 6 (/ 1 (- 1 (* 16 (/ 1 x))))))) x)
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(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* 16 x)
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (* 16 (/ 1 x))))
(* (pow x 2) (+ (* 8 (sqrt (/ 1 (pow x 3)))) (+ (* 16 (/ 1 x)) (/ 1 (pow x 2)))))
(* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(+ (* -6 (/ (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
(+ (* -1 (/ (+ (* -6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (+ (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) (* -1 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (- (+ (* 2 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))))) x)) (* 6 (/ (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))
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(* (pow x 2) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))
(* (pow x 2) (- (+ 1 (* 8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -16 (/ (pow (sqrt -1) 2) x))))
(* (pow x 2) (- (+ 1 (* -1 (/ (- (/ 1 x) (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) (* -16 (/ (pow (sqrt -1) 2) x))))
(/ 6 (* x (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))
(* -1 (/ (- (* 6 (/ (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2))))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
(* -1 (/ (- (* -1 (/ (+ (* -6 (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (* 6 (/ (- (/ 1 (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)) (* -8 (* (sqrt (/ 1 x)) (/ (* (pow (sqrt -1) 2) (- (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))) (* -8 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (- 1 (* -16 (/ (pow (sqrt -1) 2) x))) 2)))))) (- 1 (* -16 (/ (pow (sqrt -1) 2) x))))))) x))) x)) (* 6 (/ 1 (- 1 (* -16 (/ (pow (sqrt -1) 2) x)))))) x))
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(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -16 (* x (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (* -6 (/ (* x (- (* -1 (+ 1 (* 4 (sqrt x)))) 1)) (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(- (* x (+ (* -6 (/ (- (* -1 (+ 1 (* 4 (sqrt x)))) 1) (pow (+ 1 (* 4 (sqrt x))) 2))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(* -1 (pow (+ 1 (* 4 (sqrt x))) 2))
(neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(- (pow x 2) (pow (+ 1 (* 4 (sqrt x))) 2))
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(/ 6 (pow (+ 1 (* 4 (sqrt x))) 2))
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(+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) x (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 4))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64))) x (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 6 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))) #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 3 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))))) #s(literal -8 binary64) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x))) x) (fma.f64 (*.f64 #s(literal -8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 3 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)) #s(literal 2 binary64))))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) x)))) (neg.f64 x))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) x))) x) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(fma.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -6 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 4 binary64)))) x))) x)) x) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -3/32 binary64) (sqrt.f64 x))) (neg.f64 x))) (neg.f64 x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -3/8 binary64) (/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3/32 binary64) (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -3/128 binary64))) (neg.f64 x))) (neg.f64 x))) (neg.f64 x))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(* -16 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 16 binary64) x)
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 #s(literal 8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 16 binary64) x)) (*.f64 x x))
(* (pow x 2) (+ (* -16 (/ (pow (sqrt -1) 2) x)) (* -1 (/ (- (* 8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) x))))
(*.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal 16 binary64)) x) (*.f64 x x))

rewrite250.0ms (3.5%)

Memory
23.2MiB live, 323.3MiB allocated; 79ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046259
070241
1273234
21825234
08377234
Stop Event
iter limit
node limit
iter limit
Counts
20 → 585
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* 6 (- x 1)) #s(literal -6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (neg.f64 x) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 (neg.f64 x) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 (neg.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 x (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (-.f64 (neg.f64 x) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))))
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(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
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(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(-.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(-.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fabs.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))

eval171.0ms (2.4%)

Memory
-16.0MiB live, 251.8MiB allocated; 54ms collecting garbage
Compiler

Compiled 31 409 to 3 105 computations (90.1% saved)

prune28.0ms (0.4%)

Memory
24.8MiB live, 70.6MiB allocated; 5ms collecting garbage
Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New7213724
Fresh077
Picked145
Done055
Total72219741
Accuracy
100.0%
Counts
741 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
99.8%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
53.1%
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.4%
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
50.9%
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
100.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
53.0%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
51.0%
(*.f64 (/.f64 #s(approx (* (- x 1) 6) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
53.1%
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
50.6%
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
50.6%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
3.8%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
3.9%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
4.4%
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 1 115 to 464 computations (58.4% saved)

regimes30.0ms (0.4%)

Memory
-21.4MiB live, 29.2MiB allocated; 22ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (* (- x 1) 6) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
Calls

2 calls:

20.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
8.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
100.0%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.8%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
99.8%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes15.0ms (0.2%)

Memory
-18.9MiB live, 25.0MiB allocated; 7ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Calls

2 calls:

9.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
5.0ms
x
Results
AccuracySegmentsBranch
53.1%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
53.1%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes9.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
53.1%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
53.1%2x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes10.0ms (0.1%)

Memory
-26.9MiB live, 19.0MiB allocated; 4ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(approx (/ (- x 1) (+ (* (sqrt x) 4) (+ 1 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
Calls

2 calls:

5.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.0ms
x
Results
AccuracySegmentsBranch
53.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
53.0%2x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64)) (neg.f64 x))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
53.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
53.0%2x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
6.8%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6.8%2x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) #s(approx (+ (* (sqrt x) 4) 1) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
6.8%2x
6.8%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.1%)

Memory
-39.3MiB live, 6.5MiB allocated; 4ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Outputs
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Calls

2 calls:

3.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
1.0ms
x
Results
AccuracySegmentsBranch
4.4%1x
4.4%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch20.0ms (0.3%)

Memory
41.8MiB live, 41.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.2628520081757724e-8
122233409.12966035
Samples
10.0ms160×0valid
Compiler

Compiled 407 to 355 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 2.0ms (29% of total)
ival-div: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
ival-sub: 1.0ms (14.5% of total)
ival-sqrt: 1.0ms (14.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
-52.1MiB live, 6.2MiB allocated; 30ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.2628520081757724e-8
122233409.12966035
Compiler

Compiled 477 to 385 computations (19.3% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2628520081757724e-8
122233409.12966035
Compiler

Compiled 547 to 435 computations (20.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5.997304019832991
5.997829904640833
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
1.0ms
-5.997304019832991
5.997829904640833
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify16.0ms (0.2%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064383
183383
2111383
3133383
4151383
5158383
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))
Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal 6 binary64))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 4 (sqrt x)) (+ 1 x)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 #s(approx (* 6 (- x 1)) (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(approx (* 6 (- x 1)) (*.f64 #s(literal 6 binary64) x)) #s(approx (+ (+ x 1) (* 4 (sqrt x))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (* 6 (- x 1)) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 #s(literal 1 binary64) x))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 (fma.f64 #s(literal 3/2 binary64) (sqrt.f64 x) #s(literal 3/8 binary64)) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -5 binary64)) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)))) #s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x)))) #s(approx (/ -6 (+ (* (sqrt x) 4) 1)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))))

derivations1.2s (16.6%)

Memory
-4.1MiB live, 1 024.1MiB allocated; 124ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046259
070241
1273234
21825234
08377234
0131842
1389715
21309691
35745665
08405615
01132
01832
16732
247032
3695032
0811830
041246
061241
1224234
21330234
08419234
04754336
115183473
261483358
083933122
01901047
1586895
22050853
08659784
038204
063199
1238199
21562199
08545199
Stop Event
fuel
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
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 383 to 65 computations (83% saved)

preprocess65.0ms (0.9%)

Memory
39.3MiB live, 84.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 822 to 174 computations (78.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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