Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 10.5s)

analyze2.0ms (0%)

Algorithm
1×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 12 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.6s (15.6%)

Results
1.2s8256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 914.0ms
ival-add: 401.0ms (43.9% of total)
ival-mult: 264.0ms (28.9% of total)
ival-sub: 99.0ms (10.8% of total)
ival-sqrt: 70.0ms (7.7% of total)
ival-div: 58.0ms (6.3% of total)
const: 19.0ms (2.1% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess265.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
2438×fnmadd-define
2132×fnmadd-define
1572×sum3-define
1546×fmsub-define
1446×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02046
15243
213840
337738
4104438
5272338
6593538
01113
12513
24912
36612
48712
513312
621212
739612
881212
9139112
10319112
11573012
12612312
13613112
0613112
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
Call 2
Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))))
Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/ (fnmsub x -6 6) (fmsub 4 (sqrt x) (- -1 x)))
(/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x)))))
(/ (fnmsub 6 x 6) (fnmsub (sqrt (neg x)) -4 (+ x -1)))
(neg (/ (* 6 (- (neg x) 1)) (+ (+ (neg x) 1) (* 4 (sqrt (neg x))))))
(/ (fnmsub 6 x 6) (fnmsub 4 (sqrt (neg x)) (- 1 x)))

explain189.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
00-0-x
00-0-(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 6 binary64)
00-0-#s(literal 4 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 1 binary64)
00-0-(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 x)
00-0-(+.f64 x #s(literal 1 binary64))
Results
64.0ms468×0valid
7.0ms26×1valid
5.0ms18×2valid
Compiler

Compiled 105 to 35 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 13.0ms (37.5% of total)
ival-add: 6.0ms (17.3% of total)
ival-sqrt: 5.0ms (14.4% of total)
ival-div: 4.0ms (11.5% of total)
ival-sub: 4.0ms (11.5% of total)
backward-pass: 2.0ms (5.8% of total)
const: 1.0ms (2.9% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 12 computations (20% saved)

prune1.0ms (0%)

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 15 to 11 computations (26.7% saved)

simplify165.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓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))))
Rules
2132×fnmadd-define
1402×fma-define
1110×sum3-define
1076×fmsub-define
1040×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01141
12541
24939
36639
48739
513339
621239
739639
881239
9139139
10319139
11573039
12612339
13613139
0613139
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(* 6 (- x 1))
6
(- x 1)
x
1
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
(* 4 (sqrt x))
4
(sqrt x)
Outputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(* 6 (- x 1))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
6
#s(literal 6 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
1
#s(literal 1 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)

localize99.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy99.9%
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓accuracy99.8%
(/.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))))
Results
36.0ms13×1valid
23.0ms234×0valid
3.0ms9×2valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27% of total)
ival-add: 3.0ms (20.2% of total)
ival-div: 2.0ms (13.5% of total)
ival-sub: 2.0ms (13.5% of total)
ival-sqrt: 2.0ms (13.5% of total)
const: 1.0ms (6.7% of total)
backward-pass: 1.0ms (6.7% of total)

series7.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* 6 (- x 1))>
#<alt (- x 1)>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (sqrt x)>
Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 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))))))>
#<alt (- (* 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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 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))))>
#<alt (- (* -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))))>
#<alt (- (* -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))))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@0
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@-inf
(+ (+ x 1) (* 4 (sqrt x)))
0.0ms
x
@0
(+ (+ x 1) (* 4 (sqrt x)))

rewrite363.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
4334×/-lowering-/.f32
4334×/-lowering-/.f64
1532×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
16330
254728
0854528
Stop Event
1×iter limit
1×node limit
Counts
5 → 367
Calls
Call 1
Inputs
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
(* 6 (- x 1))
(- x 1)
(+ (+ x 1) (* 4 (sqrt x)))
(sqrt x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -6 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -6 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #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))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) x) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 16 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 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
(+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 16 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 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64))))))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
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(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
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(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
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(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))

simplify321.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3278×*-lowering-*.f32
3278×*-lowering-*.f64
2042×sum4-define
1482×sum3-define
1126×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0131825
1416704
21276673
34200673
08589673
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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 (+ 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 (- (* 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))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 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))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))))))
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x 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 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))
(+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64)))) x)) x) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(- (* 6 x) 6)
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* x (- 6 (* 6 (/ 1 x))))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* x (- 6 (* 6 (/ 1 x))))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval77.0ms (0.7%)

Compiler

Compiled 12526 to 1302 computations (89.6% saved)

prune59.0ms (0.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New41611427
Fresh000
Picked011
Done000
Total41612428
Accuracy
100.0%
Counts
428 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) #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))))
99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
78.7%
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64))))
▶48.3%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓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))))
54.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
▶100.0%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
▶51.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
▶52.0%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
48.2%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
▶99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
Compiler

Compiled 353 to 269 computations (23.8% saved)

simplify324.0ms (3.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(*.f64 x #s(literal 6 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
Rules
2030×fnmadd-define
1690×fma-define
1510×fmsub-define
1342×fnmsub-define
1340×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025191
153184
2120184
3214184
4311184
5370184
6493184
7828184
81537184
93095184
105791184
08157184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 6 (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1)))
6
(/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1))
(+ x (+ 1 (* 4 (sqrt x))))
x
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
(+ x -1)
-1
(/ 6 (+ -1 (* (sqrt x) -4)))
6
(+ -1 (* (sqrt x) -4))
-1
(* (sqrt x) -4)
(sqrt x)
x
-4
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
-6
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
x
1
(* 4 (sqrt x))
4
(sqrt x)
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(* x 6)
x
6
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
1
(* 4 (sqrt x))
4
(sqrt x)
(* (/ 1 (+ x (+ 1 (* 4 (sqrt x))))) (* 6 (+ x -1)))
(/ 1 (+ x (+ 1 (* 4 (sqrt x)))))
1
(+ x (+ 1 (* 4 (sqrt x))))
x
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
(* 6 (+ x -1))
6
(+ x -1)
-1
Outputs
(/ 6 (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1)))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
6
#s(literal 6 binary64)
(/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+ x (+ 1 (* 4 (sqrt x))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
x
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(/ 6 (+ -1 (* (sqrt x) -4)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
6
#s(literal 6 binary64)
(+ -1 (* (sqrt x) -4))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
-1
#s(literal -1 binary64)
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
x
-4
#s(literal -4 binary64)
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
-6
#s(literal -6 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
(* x 6)
(*.f64 #s(literal 6 binary64) x)
x
6
#s(literal 6 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(* (/ 1 (+ x (+ 1 (* 4 (sqrt x))))) (* 6 (+ x -1)))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/ 1 (+ x (+ 1 (* 4 (sqrt x)))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ x (+ 1 (* 4 (sqrt x))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))
x
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(* 6 (+ x -1))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))
6
#s(literal 6 binary64)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize355.0ms (3.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
✓accuracy99.9%
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy100.0%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
Results
197.0ms215×0valid
75.0ms9×2valid
23.0ms32×1valid
Compiler

Compiled 206 to 26 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
backward-pass: 70.0ms (64.6% of total)
ival-div: 12.0ms (11.1% of total)
ival-mult: 12.0ms (11.1% of total)
ival-add: 9.0ms (8.3% of total)
ival-sqrt: 4.0ms (3.7% of total)
const: 1.0ms (0.9% of total)

series14.0ms (0.1%)

Counts
17 → 204
Calls
Call 1
Inputs
#<alt (/ 6 (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1)))>
#<alt (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1))>
#<alt (+ x (+ 1 (* 4 (sqrt x))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (/ 6 (+ -1 (* (sqrt x) -4)))>
#<alt (+ -1 (* (sqrt x) -4))>
#<alt (* (sqrt x) -4)>
#<alt (sqrt x)>
#<alt (/ -6 (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (+ (+ x 1) (* 4 (sqrt x)))>
#<alt (+ x 1)>
#<alt (* 4 (sqrt x))>
#<alt (/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))>
#<alt (* x 6)>
#<alt (* (/ 1 (+ x (+ 1 (* 4 (sqrt x))))) (* 6 (+ x -1)))>
#<alt (/ 1 (+ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (+ x -1))>
Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 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))))))>
#<alt (- (* 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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 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))))>
#<alt (- (* -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))))>
#<alt (- (* -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))))>
#<alt (* -1 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 3))) (* -1 (/ (- 1 (* -1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (pow x 2))))))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* 2 (/ 1 x))) x)))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 2 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)>
#<alt (/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))>
#<alt (* -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))>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (* -4 (sqrt x))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* -4 (sqrt x))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) x)>
#<alt (/ (- (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)>
#<alt (/ (- (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))) x)>
#<alt (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (* x (+ (* x (- (* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 6 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -1 (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))))>
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 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))))))>
#<alt (- (* 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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 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))))>
#<alt (- (* -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))))>
#<alt (- (* -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))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- (/ x (pow (+ 1 (* 4 (sqrt x))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* 4 (sqrt x))) 4))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (/ (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))) x)>
#<alt (/ -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))>
#<alt (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@-inf
(/ 6 (+ -1 (* (sqrt x) -4)))
1.0ms
x
@0
(/ 6 (+ -1 (* (sqrt x) -4)))
0.0ms
x
@-inf
(/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1))
0.0ms
x
@0
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))

rewrite336.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4100×/-lowering-/.f32
4100×/-lowering-/.f64
3304×*-lowering-*.f32
3304×*-lowering-*.f64
1766×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025120
1161114
21388114
08396114
Stop Event
1×iter limit
1×node limit
Counts
17 → 1000
Calls
Call 1
Inputs
(/ 6 (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1)))
(/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1))
(+ x (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
(/ 6 (+ -1 (* (sqrt x) -4)))
(+ -1 (* (sqrt x) -4))
(* (sqrt x) -4)
(sqrt x)
(/ -6 (+ (+ x 1) (* 4 (sqrt x))))
(+ (+ x 1) (* 4 (sqrt x)))
(+ x 1)
(* 4 (sqrt x))
(/ (* x 6) (+ (+ x 1) (* 4 (sqrt x))))
(* x 6)
(* (/ 1 (+ x (+ 1 (* 4 (sqrt x))))) (* 6 (+ x -1)))
(/ 1 (+ x (+ 1 (* 4 (sqrt x)))))
(* 6 (+ x -1))
Outputs
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal -6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (*.f64 x #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(-.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) (*.f64 #s(literal -6 binary64) (/.f64 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) x) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
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(/.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) x))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))
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(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) x)) #s(literal -6 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x)) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal 36 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #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))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal -6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
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(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
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(*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))

simplify260.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
3002×*-lowering-*.f32
3002×*-lowering-*.f64
2266×+-lowering-+.f64
2266×+-lowering-+.f32
1470×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03833622
113042959
242272878
084612878
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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 (+ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
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(- (* -4 (sqrt x)) 1)
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(* -4 (sqrt x))
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(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
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(sqrt x)
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(sqrt x)
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(sqrt x)
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ -6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
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(* -1 (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(+ 1 (* 4 (sqrt x)))
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(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
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(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
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(* x (+ (* -6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))
(* x (+ (* x (- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x)))))))
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(- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 6 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* 6 x)
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(* 6 x)
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(* 6 x)
(* 6 x)
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(* 6 x)
(* 6 x)
(* 6 x)
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(+ (* -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 (/ (+ (* -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 (+ 1 (* 4 (sqrt x))))
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(/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(/ (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))))) x)
(/ -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))
(* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (+ (/ 1 (* (pow x 2) (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) x)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) x))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 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))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 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))))))
(+.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/ 6 (+ 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 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* x (- 6 (* 6 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -6 binary64) x)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(*.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) x)) (-.f64 #s(literal 0 binary64) x))

eval343.0ms (3.3%)

Compiler

Compiled 46107 to 3355 computations (92.7% saved)

prune192.0ms (1.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1717101727
Fresh336
Picked325
Done101
Total1724151739
Accuracy
100.0%
Counts
1739 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) #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%
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
48.1%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
48.5%
(/.f64 x (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
▶50.8%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
54.4%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
▶48.2%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓51.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
4.4%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓52.0%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
▶51.8%
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
▶4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
Compiler

Compiled 342 to 271 computations (20.8% saved)

simplify143.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 16 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓cost-diff0
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
Rules
1836×sum3-define
1570×fmsub-define
1490×fnmsub-define
1408×sum5-define
1274×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028183
161172
2134168
3211165
4272165
5437165
6944165
72547165
86065165
08116165
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ x -1) (/ (+ x (+ 1 (* 4 (sqrt x)))) 6))
(+ x -1)
x
-1
(/ (+ x (+ 1 (* 4 (sqrt x)))) 6)
(+ x (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
6
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
1
x
-3/2
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
6
(+ 1 (* 4 (sqrt (/ 1 x))))
1
(* 4 (sqrt (/ 1 x)))
4
(sqrt (/ 1 x))
(/ 1 x)
x
(/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))
6
(/ (+ x (* 4 (sqrt x))) (+ x -1))
(+ x (* 4 (sqrt x)))
x
(* 4 (sqrt x))
4
(sqrt x)
(+ x -1)
-1
(* (/ 6 (- 1 (* x 16))) (+ -1 (* 4 (sqrt x))))
(/ 6 (- 1 (* x 16)))
6
(- 1 (* x 16))
1
(* x 16)
x
16
(+ -1 (* 4 (sqrt x)))
-1
(* 4 (sqrt x))
4
(sqrt x)
Outputs
(/ (+ x -1) (/ (+ x (+ 1 (* 4 (sqrt x)))) 6))
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64)))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(/ (+ x (+ 1 (* 4 (sqrt x)))) 6)
(/.f64 (-.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(+ x (+ 1 (* 4 (sqrt x))))
(-.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
6
#s(literal 6 binary64)
(* (sqrt (/ 1 x)) -3/2)
(*.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 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-3/2
#s(literal -3/2 binary64)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
6
#s(literal 6 binary64)
(+ 1 (* 4 (sqrt (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(* 4 (sqrt (/ 1 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
4
#s(literal 4 binary64)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6
#s(literal 6 binary64)
(/ (+ x (* 4 (sqrt x))) (+ x -1))
(/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
x
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (/ 6 (- 1 (* x 16))) (+ -1 (* 4 (sqrt x))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -24 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 16 binary64))))
(/ 6 (- 1 (* x 16)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))
6
#s(literal 6 binary64)
(- 1 (* x 16))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))
1
#s(literal 1 binary64)
(* x 16)
(*.f64 x #s(literal 16 binary64))
x
16
#s(literal 16 binary64)
(+ -1 (* 4 (sqrt x)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
-1
#s(literal -1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)

localize129.0ms (1.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy99.7%
(/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy100.0%
(/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Results
80.0ms256×0valid
Compiler

Compiled 193 to 29 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 12.0ms (32.1% of total)
ival-mult: 11.0ms (29.4% of total)
ival-add: 8.0ms (21.4% of total)
ival-sqrt: 4.0ms (10.7% of total)
ival-sub: 1.0ms (2.7% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.2%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ (+ x -1) (/ (+ x (+ 1 (* 4 (sqrt x)))) 6))>
#<alt (+ x -1)>
#<alt (/ (+ x (+ 1 (* 4 (sqrt x)))) 6)>
#<alt (+ x (+ 1 (* 4 (sqrt x))))>
#<alt (* (sqrt (/ 1 x)) -3/2)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))>
#<alt (/ (+ x (* 4 (sqrt x))) (+ x -1))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* (/ 6 (- 1 (* x 16))) (+ -1 (* 4 (sqrt x))))>
#<alt (/ 6 (- 1 (* x 16)))>
#<alt (- 1 (* x 16))>
#<alt (* x 16)>
#<alt (sqrt x)>
Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 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))))))>
#<alt (- (* 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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 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))))>
#<alt (- (* -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))))>
#<alt (- (* -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))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* 1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))>
#<alt (* 1/6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))>
#<alt (* -1/6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* 3/2 (sqrt x))>
#<alt (* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (* -4 (sqrt x))>
#<alt (+ (* -4 (sqrt x)) (* -1 (* x (+ 1 (* 4 (sqrt x))))))>
#<alt (+ (* -4 (sqrt x)) (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))>
#<alt (+ (* -4 (sqrt x)) (* x (- (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))>
#<alt (- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 7)))) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))>
#<alt (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 x)) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (/ 1 x)) x)))>
#<alt (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 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 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))>
#<alt (* 4 (sqrt x))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 6 (- (* 4 (sqrt x)) 1))>
#<alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))>
#<alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))>
#<alt (+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))>
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt 6>
#<alt (+ 6 (* 96 x))>
#<alt (+ 6 (* x (+ 96 (* 1536 x))))>
#<alt (+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))>
#<alt (/ -3/8 x)>
#<alt (* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x)>
#<alt (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) (pow x 2))) (+ 3/8 (* 3/128 (/ 1 x)))) x)>
#<alt (/ -3/8 x)>
#<alt (* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x))>
#<alt 1>
#<alt (+ 1 (* -16 x))>
#<alt (+ 1 (* -16 x))>
#<alt (+ 1 (* -16 x))>
#<alt (* -16 x)>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* x (- (/ 1 x) 16))>
#<alt (* -16 x)>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* -1 (* x (- 16 (/ 1 x))))>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (* 16 x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

57 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
3.0ms
x
@-inf
(* (/ 6 (- 1 (* x 16))) (+ -1 (* 4 (sqrt x))))
1.0ms
x
@-inf
(/ (+ x (* 4 (sqrt x))) (+ x -1))
1.0ms
x
@0
(/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))
1.0ms
x
@-inf
(/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))

rewrite373.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4440×/-lowering-/.f32
4440×/-lowering-/.f64
2786×*-lowering-*.f32
2786×*-lowering-*.f64
2044×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028129
1182115
21621109
08769109
Stop Event
1×iter limit
1×node limit
Counts
19 → 691
Calls
Call 1
Inputs
(/ (+ x -1) (/ (+ x (+ 1 (* 4 (sqrt x)))) 6))
(+ x -1)
(/ (+ x (+ 1 (* 4 (sqrt x)))) 6)
(+ x (+ 1 (* 4 (sqrt x))))
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(* 4 (sqrt (/ 1 x)))
(/ 6 (/ (+ x (* 4 (sqrt x))) (+ x -1)))
(/ (+ x (* 4 (sqrt x))) (+ x -1))
(+ x (* 4 (sqrt x)))
(* 4 (sqrt x))
(* (/ 6 (- 1 (* x 16))) (+ -1 (* 4 (sqrt x))))
(/ 6 (- 1 (* x 16)))
(- 1 (* x 16))
(* x 16)
(sqrt x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 1/6 binary64))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) #s(literal -1/6 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))))
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(*.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal 1/6 binary64)))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 6 binary64))))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))
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(+.f64 (*.f64 x #s(literal -16 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))))
(fma.f64 x #s(literal -16 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 16 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 16 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 16 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -16 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) #s(literal -1 binary64))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (*.f64 x x) #s(literal 256 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -16 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 256 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4096 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x #s(literal 16 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 16 binary64) x)
(*.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 16 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 4 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 16 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))

simplify281.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3710×*-lowering-*.f32
3710×*-lowering-*.f64
2548×+-lowering-+.f64
2548×+-lowering-+.f32
1464×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03652595
112202158
242652082
084312082
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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 (+ 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 (- (* 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 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* 1/6 (+ 1 (* 4 (sqrt x))))
(+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))
(+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))
(+ (* 1/6 x) (* 1/6 (+ 1 (* 4 (sqrt x)))))
(* 1/6 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))
(* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))
(* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))
(* x (+ (* 1/6 (+ 1 (* 4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))))
(* -1/6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* 1/6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 1/6 (/ 1 x)))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 3/2 (sqrt x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* -1 (* x (+ (* -3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x))))) (* 3/8 (/ 1 x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 4 (sqrt (/ 1 x)))
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* -3/2 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))
(+ (* -3/2 (sqrt (/ 1 x))) (* x (+ (* 6 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (* 3/8 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(- (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* 6 (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(* -4 (sqrt x))
(+ (* -4 (sqrt x)) (* -1 (* x (+ 1 (* 4 (sqrt x))))))
(+ (* -4 (sqrt x)) (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(+ (* -4 (sqrt x)) (* x (- (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (+ (* 4 (sqrt (/ 1 (pow x 7)))) (/ 1 (pow x 3))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) (pow x 2)))))
(* -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 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (- (+ (* -1 (- 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (/ 1 x)) x)))
(+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* -1 (/ (+ (* -1 (- 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 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 6 (- (* 4 (sqrt x)) 1))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* 96 (* x (- (* 4 (sqrt x)) 1))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* 1536 (* x (- (* 4 (sqrt x)) 1))))))
(+ (* 6 (- (* 4 (sqrt x)) 1)) (* x (+ (* 96 (- (* 4 (sqrt x)) 1)) (* x (+ (* 1536 (- (* 4 (sqrt x)) 1)) (* 24576 (* x (- (* 4 (sqrt x)) 1))))))))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -6 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (+ 1/16 (* 1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
6
(+ 6 (* 96 x))
(+ 6 (* x (+ 96 (* 1536 x))))
(+ 6 (* x (+ 96 (* x (+ 1536 (* 24576 x))))))
(/ -3/8 x)
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x)
(/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) (pow x 2))) (+ 3/8 (* 3/128 (/ 1 x)))) x)
(/ -3/8 x)
(* -1 (/ (+ 3/8 (* 3/128 (/ 1 x))) x))
(* -1 (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x))
(* -1 (/ (+ 3/8 (* -1 (/ (- (* -1 (/ (+ 3/2048 (* 3/32768 (/ 1 x))) x)) 3/128) x))) x))
1
(+ 1 (* -16 x))
(+ 1 (* -16 x))
(+ 1 (* -16 x))
(* -16 x)
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* x (- (/ 1 x) 16))
(* -16 x)
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* -1 (* x (- 16 (/ 1 x))))
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(* 16 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 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))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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))))))
(+.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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 (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))))))
(+.f64 (/.f64 (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x 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 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))) (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64)))) (*.f64 x (*.f64 x x))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
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(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval166.0ms (1.6%)

Compiler

Compiled 23202 to 2944 computations (87.3% saved)

prune196.0ms (1.9%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1099121111
Fresh448
Picked235
Done022
Total1105211126
Accuracy
100.0%
Counts
1126 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
54.4%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
▶48.1%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
48.5%
(/.f64 x (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
✓50.8%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
▶54.4%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
48.2%
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓51.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
48.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
▶4.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
4.4%
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓52.0%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.3%
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
▶99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
50.8%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
50.7%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
4.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶4.5%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Compiler

Compiled 381 to 307 computations (19.4% saved)

simplify160.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
✓cost-diff0
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓cost-diff0
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓cost-diff0
(*.f64 x #s(literal 6 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓cost-diff0
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
✓cost-diff0
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
Rules
2198×fmsub-define
2172×fnmsub-define
1940×fma-lowering-fma.f32
1940×fma-lowering-fma.f64
1910×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022146
143136
277136
3101134
4119134
5144134
6197134
7296134
8552134
91404134
103480134
116307134
08492134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x))))) 6)
(/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x)))))
(+ x -1)
x
-1
(+ x (+ 1 (* 4 (sqrt x))))
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
6
(* (sqrt x) 3/2)
(sqrt x)
x
3/2
(/ 1 (/ (sqrt x) -3/2))
1
(/ (sqrt x) -3/2)
(sqrt x)
x
-3/2
(/ (* x 6) (+ x (* 4 (sqrt x))))
(* x 6)
x
6
(+ x (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
(/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))
6
(/ (+ 1 (* 4 (sqrt x))) (+ x -1))
(+ 1 (* 4 (sqrt x)))
1
(* 4 (sqrt x))
4
(sqrt x)
x
(+ x -1)
-1
Outputs
(* (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x))))) 6)
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x)))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(+ x (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
6
#s(literal 6 binary64)
(* (sqrt x) 3/2)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt x)
(sqrt.f64 x)
x
3/2
#s(literal 3/2 binary64)
(/ 1 (/ (sqrt x) -3/2))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(/ (sqrt x) -3/2)
(/.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt x)
(sqrt.f64 x)
x
-3/2
#s(literal -3/2 binary64)
(/ (* x 6) (+ x (* 4 (sqrt x))))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(* x 6)
(*.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
(/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
6
#s(literal 6 binary64)
(/ (+ 1 (* 4 (sqrt x))) (+ x -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
4
#s(literal 4 binary64)
(sqrt x)
(sqrt.f64 x)
x
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)

localize134.0ms (1.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy99.6%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
✓accuracy99.9%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
Results
94.0ms256×0valid
Compiler

Compiled 149 to 23 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 42.0ms (70.7% of total)
ival-add: 7.0ms (11.8% of total)
ival-mult: 7.0ms (11.8% of total)
ival-sqrt: 2.0ms (3.4% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
15 → 180
Calls
Call 1
Inputs
#<alt (* (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x))))) 6)>
#<alt (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x)))))>
#<alt (+ x -1)>
#<alt (+ x (+ 1 (* 4 (sqrt x))))>
#<alt (* (sqrt x) 3/2)>
#<alt (sqrt x)>
#<alt (/ 1 (/ (sqrt x) -3/2))>
#<alt (/ (sqrt x) -3/2)>
#<alt (/ (* x 6) (+ x (* 4 (sqrt x))))>
#<alt (* x 6)>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))>
#<alt (/ (+ 1 (* 4 (sqrt x))) (+ x -1))>
#<alt (+ 1 (* 4 (sqrt x)))>
Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 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))))))>
#<alt (- (* 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))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -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))))))))>
#<alt (+ (* -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)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 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))))>
#<alt (- (* -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))))>
#<alt (- (* -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))))>
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (* 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)))))>
#<alt (- (* 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)))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (- (+ (/ 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)))))>
#<alt (- (+ (* -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))))))>
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 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))))>
#<alt (- (* -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)))>
#<alt (- (* -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)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* 3/2 (sqrt x))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* -2/3 (sqrt x))>
#<alt (* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (sqrt x))>
#<alt (* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))>
#<alt (* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* x (- (* 3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x)))) (* 3/8 (/ 1 x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 4 (sqrt x))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (+ x (* 4 (sqrt x)))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* 4 (sqrt x))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))>
#<alt (* -1 (+ 1 (* 4 (sqrt x))))>
#<alt (+ (* -1 (* x (+ 1 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))>
#<alt (+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (- (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) (* -4 (sqrt (/ 1 (pow x 3)))))>
#<alt (- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (* -4 (sqrt (/ 1 (pow x 5))))))>
#<alt (- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 7)))) (* -1 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))))))>
#<alt (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (- (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))>
#<alt (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (- 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (/ 1 x)) x)))>
#<alt (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (- 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 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
Calls

45 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(* (sqrt x) 3/2)
1.0ms
x
@-inf
(/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))
1.0ms
x
@-inf
(/ (* x 6) (+ x (* 4 (sqrt x))))
1.0ms
x
@-inf
(/ 1 (/ (sqrt x) -3/2))
1.0ms
x
@inf
(/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))

rewrite582.0ms (5.5%)

Algorithm
1×batch-egg-rewrite
Rules
4294×*-lowering-*.f32
4294×*-lowering-*.f64
3562×/-lowering-/.f32
3562×/-lowering-/.f64
2206×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022103
113194
2103694
0884394
Stop Event
1×iter limit
1×node limit
Counts
15 → 668
Calls
Call 1
Inputs
(* (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x))))) 6)
(/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x)))))
(+ x -1)
(+ x (+ 1 (* 4 (sqrt x))))
(* (sqrt x) 3/2)
(sqrt x)
(/ 1 (/ (sqrt x) -3/2))
(/ (sqrt x) -3/2)
(/ (* x 6) (+ x (* 4 (sqrt x))))
(* x 6)
(+ x (* 4 (sqrt x)))
(* 4 (sqrt x))
(/ 6 (/ (+ 1 (* 4 (sqrt x))) (+ x -1)))
(/ (+ 1 (* 4 (sqrt x))) (+ x -1))
(+ 1 (* 4 (sqrt x)))
Outputs
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) x) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))
(+.f64 (*.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))) #s(literal 6 binary64)))
(neg.f64 (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))))
(neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(neg.f64 (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -6 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) #s(literal 6 binary64))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64))))))
(*.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 6 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64)))
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(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.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))
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x #s(literal 16 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(*.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 1 binary64)))))

simplify489.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
3652×*-lowering-*.f32
3652×*-lowering-*.f64
2956×+-lowering-+.f64
2956×+-lowering-+.f32
1256×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03192470
110552081
235952002
084512002
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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 (+ 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 (- (* 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 (+ 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 (+ 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))))))
(/ -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)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 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)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* 3/2 (sqrt x))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -3/2 (sqrt (/ 1 x)))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* -2/3 (sqrt x))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (sqrt x))
(* x (- (* 3/2 (sqrt (/ 1 x))) 3/8))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* 3/32 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))))
(* x (+ (* 3/2 (sqrt (/ 1 x))) (* x (- (* x (- (* 3/32 (sqrt (/ 1 (pow x 3)))) (* 3/128 (/ 1 x)))) (* 3/8 (/ 1 x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 4 (sqrt x))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(+ x (* 4 (sqrt x)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (* 4 (sqrt (/ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* 4 (sqrt x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* 3/2 (sqrt x))
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))
(* -3/2 (sqrt x))
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(* -1 (+ 1 (* 4 (sqrt x))))
(+ (* -1 (* x (+ 1 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(* 4 (sqrt (/ 1 x)))
(- (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) (* -4 (sqrt (/ 1 (pow x 3)))))
(- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (* -4 (sqrt (/ 1 (pow x 5))))))
(- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 7)))) (* -1 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))))))
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(- (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (- 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (/ 1 x)) x)))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (- 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 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 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))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 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))))))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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 (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))))))
(+.f64 (/.f64 (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x) (*.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #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 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (*.f64 x (*.f64 x x))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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))))
(+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) x))
(- (* -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))))
(-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) x))) x))
(- (* -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 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) #s(literal 4 binary64)))) x))) x)) x))
(/ -1 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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)))))
(+.f64 (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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)))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 x (-.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))
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(+.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(* 3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x))) #s(literal -3/8 binary64)))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x))) #s(literal -3/8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))) #s(literal -3/2 binary64))))
(+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x))) #s(literal -3/8 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))) #s(literal -3/2 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1/16 binary64))) x)))
(* -3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) x)) #s(literal -3/8 binary64)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) x) #s(literal -1/16 binary64)) (/.f64 (+.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))) #s(literal -1 binary64))))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))
(-.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -6 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -3/8 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/16 binary64))))) x)) x))
(* -1 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(+ (* -1 (* x (+ 1 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))) (+ 1 (* 4 (sqrt x))))))
(+.f64 #s(literal -1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x)))))))
(* 4 (sqrt (/ 1 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)) (* -4 (sqrt (/ 1 (pow x 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 2)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (* -4 (sqrt (/ 1 (pow x 5))))))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))
(- (+ (* 4 (sqrt (/ 1 x))) (+ (/ 1 x) (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 3)))) (+ (* -4 (sqrt (/ 1 (pow x 7)))) (* -1 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 2))))))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))
(* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(- (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (- 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (/ 1 x)) x)))
(-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) x))) x))
(+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (- 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 (pow x 3))) (pow (sqrt -1) 2)))) x))) x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) x))) x))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x)))

eval165.0ms (1.6%)

Compiler

Compiled 22668 to 2648 computations (88.3% saved)

prune145.0ms (1.4%)

Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New111241116
Fresh11011
Picked055
Done055
Total1113241137
Accuracy
100.0%
Counts
1137 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
54.4%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
✓48.1%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
48.2%
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
✓50.8%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
✓54.4%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
48.2%
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓51.8%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
48.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
✓4.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
4.4%
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓52.0%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
54.3%
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.3%
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
4.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
✓99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
50.8%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
50.7%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
4.5%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
4.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
48.2%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
✓4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓4.5%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Compiler

Compiled 651 to 310 computations (52.4% saved)

regimes115.0ms (1.1%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 x (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 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 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
(/.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 x #s(literal -1 binary64)) (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/6 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) (*.f64 x x)) #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 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))) (+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal -16 binary64))))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
Calls

2 calls:

102.0ms
(/.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))))
11.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
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))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes75.0ms (0.7%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 x (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 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 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 x (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 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 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.2%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)) x)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
Outputs
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.1%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
Outputs
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
54.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 3/2 binary64))
Outputs
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
7.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
4.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.003349125998348427
31.559142573235018
Results
10.0ms128×0valid
Compiler

Compiled 243 to 198 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.9% of total)
ival-sub: 1.0ms (16% of total)
ival-div: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
ival-sqrt: 1.0ms (16% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.003349125998348427
31.559142573235018
Results
10.0ms128×0valid
Compiler

Compiled 243 to 198 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.5% of total)
ival-sub: 1.0ms (15.8% of total)
ival-div: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-sqrt: 1.0ms (15.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.003349125998348427
31.559142573235018
Results
10.0ms128×0valid
Compiler

Compiled 227 to 182 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.4% of total)
ival-sub: 1.0ms (15.7% of total)
ival-div: 1.0ms (15.7% of total)
ival-add: 1.0ms (15.7% of total)
ival-sqrt: 1.0ms (15.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.003349125998348427
31.559142573235018
Results
9.0ms128×0valid
Compiler

Compiled 195 to 166 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (32.1% of total)
ival-sub: 1.0ms (16.1% of total)
ival-div: 1.0ms (16.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-sqrt: 1.0ms (16.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.003349125998348427
31.559142573235018
Results
11.0ms128×0valid
Compiler

Compiled 179 to 158 computations (11.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.9% of total)
ival-sub: 1.0ms (15.9% of total)
ival-div: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-sqrt: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.003349125998348427
31.559142573235018
Results
11.0ms128×0valid
Compiler

Compiled 115 to 94 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.7% of total)
ival-sub: 1.0ms (12.9% of total)
ival-div: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
ival-sqrt: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
12×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047176
165176
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #s(literal 5224175567749775/18014398509481984 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))

soundness2.0s (19.4%)

Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
4440×/-lowering-/.f32
4440×/-lowering-/.f64
4334×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01130
16330
254728
0854528
025120
1161114
21388114
08396114
03652595
112202158
242652082
084312082
03833622
113042959
242272878
084612878
0131825
1416704
21276673
34200673
08589673
028129
1182115
21621109
08769109
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 576 to 372 computations (35.4% saved)

preprocess64.0ms (0.6%)

Compiler

Compiled 414 to 138 computations (66.7% saved)

end0.0ms (0%)

Profiling

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