Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 10.2s)

analyze3.0ms (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)

sample967.0ms (9.5%)

Results
738.0ms8256×0valid
0.0ms4×0invalid
Precisions
Click to see histograms. Total time spent on operations: 448.0ms
ival-mult: 127.0ms (28.3% of total)
ival-add: 101.0ms (22.5% of total)
ival-sqrt: 78.0ms (17.4% of total)
ival-div: 61.0ms (13.6% of total)
ival-sub: 59.0ms (13.2% of total)
const: 18.0ms (4% of total)
backward-pass: 4.0ms (0.9% of total)
Bogosity

preprocess252.0ms (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)))

explain271.0ms (2.7%)

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
66.0ms460×0valid
12.0ms20×2valid
9.0ms32×1valid
Compiler

Compiled 105 to 35 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 8.0ms (25.6% of total)
ival-add: 6.0ms (19.2% of total)
ival-sqrt: 5.0ms (16% of total)
ival-div: 4.0ms (12.8% of total)
ival-sub: 4.0ms (12.8% of total)
backward-pass: 3.0ms (9.6% of total)
const: 1.0ms (3.2% 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)

simplify111.0ms (1.1%)

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)

localize66.0ms (0.6%)

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)))
✓accuracy99.8%
(*.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
39.0ms230×0valid
7.0ms16×1valid
4.0ms10×2valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 4.0ms (24.1% of total)
ival-add: 3.0ms (18.1% of total)
ival-sqrt: 3.0ms (18.1% of total)
ival-div: 2.0ms (12.1% of total)
ival-sub: 2.0ms (12.1% of total)
const: 1.0ms (6% of total)
backward-pass: 1.0ms (6% of total)

series24.0ms (0.2%)

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)))

rewrite472.0ms (4.6%)

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))))))
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simplify389.0ms (3.8%)

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)

eval83.0ms (0.8%)

Compiler

Compiled 12526 to 1302 computations (89.6% saved)

prune56.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New41710427
Fresh000
Picked101
Done000
Total41810428
Accuracy
100.0%
Counts
428 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.4%
(/.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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
46.1%
(/.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))))
99.9%
(/.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))))
▶42.9%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))))
▶43.2%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
57.3%
(/.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))
74.0%
(*.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 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
Compiler

Compiled 292 to 226 computations (22.6% saved)

simplify113.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))
✓cost-diff0
(-.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) 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 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
2148×fnmadd-define
1428×fma-define
1118×sum3-define
1092×fmsub-define
1056×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027181
155178
276175
383175
499175
5151175
6228175
7414175
8835175
91417175
103219175
115772175
126187175
136209175
06209175
Stop Event
1×iter limit
1×saturated
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
(/ 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)
(/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1))
(* 6 (- x 1))
6
(- x 1)
x
1
(+ (+ (* 4 (sqrt x)) x) 1)
(+ (* 4 (sqrt x)) x)
(* 4 (sqrt x))
4
(sqrt x)
Outputs
(* (/ (+ x -1) (+ x (+ 1 (* 4 (sqrt x))))) 6)
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 x #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)
(/ 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 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x))
-6
#s(literal -6 binary64)
(+ (+ x 1) (* 4 (sqrt x)))
(+.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)
(* 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 x (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (+.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 1) (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ 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)
(/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1))
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(* 6 (- x 1))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
6
#s(literal 6 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
1
#s(literal 1 binary64)
(+ (+ (* 4 (sqrt x)) x) 1)
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(+ (* 4 (sqrt x)) 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)

localize228.0ms (2.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
✓accuracy99.8%
(*.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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) 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)))
✓accuracy99.9%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓accuracy100.0%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(+.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
127.0ms218×0valid
26.0ms28×1valid
23.0ms10×2valid
Compiler

Compiled 193 to 28 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-div: 16.0ms (28.7% of total)
backward-pass: 12.0ms (21.5% of total)
ival-add: 12.0ms (21.5% of total)
ival-mult: 10.0ms (17.9% of total)
ival-sqrt: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
const: 1.0ms (1.8% of total)

series17.0ms (0.2%)

Counts
20 → 240
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 (/ 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 (/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1))>
#<alt (* 6 (- x 1))>
#<alt (- x 1)>
#<alt (+ (+ (* 4 (sqrt x)) x) 1)>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ (* 4 (sqrt x)) 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 (/ 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 -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 (+ 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 (* 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)))>
Calls

60 calls:

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

rewrite517.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
4268×/-lowering-/.f32
4268×/-lowering-/.f64
3796×*-lowering-*.f32
3796×*-lowering-*.f64
1726×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027130
1183127
21629124
08856124
Stop Event
1×iter limit
1×node limit
Counts
20 → 865
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))))
(/ 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)
(/ (* 6 (- x 1)) (+ (+ (* 4 (sqrt x)) x) 1))
(* 6 (- x 1))
(- x 1)
(+ (+ (* 4 (sqrt x)) x) 1)
(+ 1 (* 4 (sqrt x)))
(+ (* 4 (sqrt x)) x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))) (*.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)))))))
(neg.f64 (*.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)))))))
(neg.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.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 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.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 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #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 #s(literal -6 binary64) (neg.f64 (/.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)) #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64))) (neg.f64 (-.f64 #s(literal 0 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)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -6 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x #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 (+.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))))) #s(literal 6 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #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 (+.f64 x #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 (-.f64 #s(literal 1 binary64) x) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #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 -1 binary64)) #s(literal -6 binary64)) (/.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)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)))
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(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(-.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 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (*.f64 x #s(literal 16 binary64)) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(-.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 (sqrt.f64 x) #s(literal -4 binary64)) #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))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -4 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) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))))
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(/.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 #s(literal 4 binary64) (sqrt.f64 x)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
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(/.f64 (neg.f64 (-.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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (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 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.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 #s(literal 4 binary64) (sqrt.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x #s(literal 16 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.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))))
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal -1 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) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(-.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)
(fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1 binary64) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -4 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3/2 binary64))))))
(/.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 3/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x #s(literal 16 binary64))) (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)) (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x #s(literal 16 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x (-.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))

simplify312.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
3902×+-lowering-+.f64
3902×+-lowering-+.f32
3410×*-lowering-*.f32
3410×*-lowering-*.f64
1638×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03353692
111313109
234933001
084663001
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
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)))
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(/ 6 (- (* -4 (sqrt x)) 1))
(* -3/2 (sqrt (/ 1 x)))
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(* -4 (sqrt x))
(* -4 (sqrt x))
(* -4 (sqrt x))
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(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
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(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
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(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
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(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (pow (+ 1 (* 4 (sqrt x))) 2))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ (- (+ (* 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)
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(+ 1 (* 4 (sqrt x)))
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(* 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)))))
1
(+ 1 x)
(+ 1 x)
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x
(* x (+ 1 (/ 1 x)))
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(* x (+ 1 (/ 1 x)))
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)))
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(* 6 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)))) (* 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))))
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-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
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(* 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
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(- x 1)
(- x 1)
x
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x
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(* -1 (* x (- (/ 1 x) 1)))
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(* 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 (- (* 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)))))
(+ 1 (* 4 (sqrt x)))
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(* 4 (sqrt x))
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(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
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(* 4 (sqrt x))
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(+ x (* 4 (sqrt x)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
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))))))
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(- (* 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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(* 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)))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x (* 4 (sqrt x)))
(+.f64 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)))))
(*.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)))))
(*.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)))))
(*.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)))
(*.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)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

eval219.0ms (2.1%)

Compiler

Compiled 33361 to 2763 computations (91.7% saved)

prune164.0ms (1.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1400101410
Fresh325
Picked325
Done000
Total1406141420
Accuracy
100.0%
Counts
1420 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
46.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
▶99.9%
(/.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))))
✓42.9%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
▶4.0%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
▶43.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
43.2%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
▶57.3%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
59.5%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
74.0%
(*.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64)))) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
4.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
▶4.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
Compiler

Compiled 312 to 247 computations (20.8% saved)

simplify139.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 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-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓cost-diff128
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓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 #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
1692×sum5-define
1632×fnmadd-define
1430×fmsub-define
1284×fmm-def
1190×fnmsub-define
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
025146
145134
276134
3109133
4120133
5144133
6214133
7391133
8797133
91666132
104213130
117587130
08031130
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
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
1
x
-3/2
(/ 6 (* (sqrt x) -4))
6
(* (sqrt x) -4)
(sqrt x)
x
-4
(/ -6 (+ -1 (* (sqrt (/ 1 x)) -4)))
-6
(+ -1 (* (sqrt (/ 1 x)) -4))
-1
(* (sqrt (/ 1 x)) -4)
(sqrt (/ 1 x))
(/ 1 x)
1
x
-4
(/ 1 (/ (+ 1 (* 4 (sqrt x))) -6))
1
(/ (+ 1 (* 4 (sqrt x))) -6)
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
x
-6
Outputs
(/ 6 (/ (+ x (+ 1 (* 4 (sqrt x)))) (+ x -1)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal -4 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)
(* (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 (* (sqrt x) -4))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
6
#s(literal 6 binary64)
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
x
-4
#s(literal -4 binary64)
(/ -6 (+ -1 (* (sqrt (/ 1 x)) -4)))
(/.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)
(+ -1 (* (sqrt (/ 1 x)) -4))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))
-1
#s(literal -1 binary64)
(* (sqrt (/ 1 x)) -4)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 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
-4
#s(literal -4 binary64)
(/ 1 (/ (+ 1 (* 4 (sqrt x))) -6))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)) #s(literal -1/6 binary64)))
1
#s(literal 1 binary64)
(/ (+ 1 (* 4 (sqrt x))) -6)
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)) #s(literal -1/6 binary64))
(+ 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)
x
-6
#s(literal -6 binary64)

localize165.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy99.7%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))
✓accuracy99.8%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓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%
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(+.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)))
✓accuracy99.9%
(/.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
124.0ms256×0valid
Compiler

Compiled 157 to 26 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 14.0ms (39.7% of total)
ival-mult: 10.0ms (28.4% of total)
ival-add: 5.0ms (14.2% of total)
ival-sqrt: 4.0ms (11.3% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
16 → 192
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 (* (sqrt (/ 1 x)) -3/2)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ 6 (* (sqrt x) -4))>
#<alt (* (sqrt x) -4)>
#<alt (sqrt x)>
#<alt (/ -6 (+ -1 (* (sqrt (/ 1 x)) -4)))>
#<alt (+ -1 (* (sqrt (/ 1 x)) -4))>
#<alt (* (sqrt (/ 1 x)) -4)>
#<alt (/ 1 (/ (+ 1 (* 4 (sqrt x))) -6))>
#<alt (/ (+ 1 (* 4 (sqrt x))) -6)>
#<alt (* 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 (+ (* -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 (* -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 (/ 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 (* -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 (* 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 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 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 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (* -4 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)>
#<alt (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)>
#<alt (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)>
#<alt (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)>
#<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 (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<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 (* -1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (* -1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (* -1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (* -1/6 (+ 1 (* 4 (sqrt x))))>
#<alt (* -2/3 (sqrt x))>
#<alt (* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))>
#<alt (* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))>
#<alt (* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))>
#<alt (* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 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)))>
Calls

48 calls:

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

rewrite650.0ms (6.4%)

Algorithm
1×batch-egg-rewrite
Rules
4596×/-lowering-/.f32
4596×/-lowering-/.f64
4190×*-lowering-*.f32
4190×*-lowering-*.f64
1832×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025103
114288
2108188
0858488
Stop Event
1×iter limit
1×node limit
Counts
16 → 652
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)))
(* (sqrt (/ 1 x)) -3/2)
(sqrt (/ 1 x))
(/ 1 x)
(/ 6 (* (sqrt x) -4))
(* (sqrt x) -4)
(sqrt x)
(/ -6 (+ -1 (* (sqrt (/ 1 x)) -4)))
(+ -1 (* (sqrt (/ 1 x)) -4))
(* (sqrt (/ 1 x)) -4)
(/ 1 (/ (+ 1 (* 4 (sqrt x))) -6))
(/ (+ 1 (* 4 (sqrt x))) -6)
(* 4 (sqrt x))
Outputs
(+.f64 (/.f64 (*.f64 #s(literal 6 binary64) 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)))
(+.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 #s(literal 6 binary64) x) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(+.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (neg.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (neg.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))))))
(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 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.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))))
(fma.f64 x (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (neg.f64 (/.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 #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))))))
(fma.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) 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 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(neg.f64 (/.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 #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 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.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 x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (+.f64 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 -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 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 (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.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 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 #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 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(/.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) x))))
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 (*.f64 x x) #s(literal -1 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 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (/.f64 #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 1 binary64) (+.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))))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (+.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))))) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.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 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) x)) (/.f64 (+.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 x x))) #s(literal -6 binary64)) (*.f64 (+.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal -6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) x)) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #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))))))
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(/.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal -1 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 (neg.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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(pow.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
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(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))) #s(literal -1 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
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(*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
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(*.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64)) (/.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (/.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) #s(literal -1/6 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 6 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (*.f64 #s(literal -6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal -1/6 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 x #s(literal 16 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 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)))) (neg.f64 (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 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 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -1/6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (+.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 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 1/6 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 #s(literal -6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -4 binary64))

simplify283.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4178×+-lowering-+.f64
4178×+-lowering-+.f32
2986×*-lowering-*.f32
2986×*-lowering-*.f64
1344×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02782107
19281704
231951644
086751644
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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))))
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(- (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(- (+ 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)))))
(- (+ 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))))))
(* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (+ (* -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (* 2 (/ 1 x))) (* 4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
(+ (* -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)))
(+ (* -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)))
(+ 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)))))
(+ 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))))
(* -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 (/ 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)))
(* -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)))
(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 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 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 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 (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(* -4 (sqrt (/ 1 x)))
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(- (* -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))) 1)
(* -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)))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(* -3/2 (sqrt (/ 1 x)))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(* 3/2 (sqrt (/ 1 x)))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(* -2/3 (sqrt x))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 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))
(* -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)))
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)))))
(/.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 #s(literal 6 binary64) (*.f64 x 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 #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 (/.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 #s(literal 6 binary64) (*.f64 x 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 #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 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))))
(- (* 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 (/.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))) #s(literal -6 binary64))) (/.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))))) 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 (/.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))) #s(literal -6 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 (*.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 (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 4 binary64) (sqrt.f64 x)))
(+ (* -1 (* x (+ 2 (* 4 (sqrt x))))) (* -1 (+ 1 (* 4 (sqrt x)))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(+ (* -1 (+ 1 (* 4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))) (+ 2 (* 4 (sqrt x))))))
(+.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))) (* -1 (/ (+ 1 (* 4 (sqrt (/ 1 x)))) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(- (+ 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)))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/ (+ 3/8 (* -3/2 (sqrt x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/32 binary64))) x)
(/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)
(/.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/32 binary64)) (+.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 #s(literal 3/128 binary64) x) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))) x)
(* 3/2 (sqrt (/ 1 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))
(/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -1 binary64))) x)
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 x #s(literal -3/8 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/32 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal -3/8 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -3/32 binary64) x)))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))
(* -1/6 (+ 1 (* 4 (sqrt x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))
(* -2/3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64))))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64))))
(* x (- (* -2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x))))
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64))))
(* 2/3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(* -1 (* x (+ (* -2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/6 (/ 1 x)))))
(+.f64 #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2/3 binary64))))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))

eval160.0ms (1.6%)

Compiler

Compiled 20575 to 2783 computations (86.5% saved)

prune117.0ms (1.1%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New1042121054
Fresh257
Picked235
Done022
Total1046221068
Accuracy
100.0%
Counts
1068 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
46.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
▶99.9%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64))))
✓99.9%
(/.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))))
59.5%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
46.1%
(/.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))))
57.3%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓42.9%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓43.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
4.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
42.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
4.0%
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
43.2%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
4.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
▶59.5%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
42.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
▶57.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
▶4.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
4.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
✓4.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶4.9%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Compiler

Compiled 401 to 326 computations (18.7% saved)

simplify171.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x (*.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 4 binary64) (sqrt.f64 x))))
✓cost-diff0
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (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 (-.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 x (/.f64 (-.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 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64)))
✓cost-diff0
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64))))
Rules
1702×fnmadd-define
1356×fma-define
1354×*-lowering-*.f32
1354×*-lowering-*.f64
1196×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030185
166182
2114172
3203170
4348170
5722170
62444170
77766170
08191170
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
6
(/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1))
(+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x)))))
x
(/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))
(- 1 (* x 16))
1
(* x 16)
16
(- 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
(+ x -1)
-1
(* (sqrt x) 3/2)
(sqrt x)
x
3/2
(* (/ 1 (sqrt x)) -3/2)
(/ 1 (sqrt x))
1
(sqrt x)
x
-3/2
(* (/ 1 (+ -1 (/ -4 (sqrt x)))) -6)
(/ 1 (+ -1 (/ -4 (sqrt x))))
1
(+ -1 (/ -4 (sqrt x)))
-1
(/ -4 (sqrt x))
-4
(sqrt x)
x
-6
(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ x (* 4 (sqrt x))))
(+ x -1)
x
-1
(+ x (* 4 (sqrt x)))
(* 4 (sqrt x))
4
(sqrt x)
6
Outputs
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (/.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)))))
6
#s(literal 6 binary64)
(/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) x) (-.f64 #s(literal 1 binary64) x))
(+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x)))))
(+.f64 x (/.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))))
x
(/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))
(/.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)))
(- 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))
16
#s(literal 16 binary64)
(- 1 (* 4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 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)
(* (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 (sqrt x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
1
#s(literal 1 binary64)
(sqrt x)
(sqrt.f64 x)
x
-3/2
#s(literal -3/2 binary64)
(* (/ 1 (+ -1 (/ -4 (sqrt x)))) -6)
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(/ 1 (+ -1 (/ -4 (sqrt x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
1
#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
-6
#s(literal -6 binary64)
(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
(/.f64 (+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/ (+ x -1) (+ x (* 4 (sqrt x))))
(/.f64 (+.f64 x #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 (* 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
#s(literal 6 binary64)

localize202.0ms (2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
✓accuracy99.8%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓accuracy99.7%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))
✓accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
✓accuracy99.6%
(/.f64 #s(literal -4 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
✓accuracy99.5%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓accuracy100.0%
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
✓accuracy100.0%
(/.f64 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64)))
✓accuracy99.9%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64))))
✓accuracy99.5%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
155.0ms256×0valid
Compiler

Compiled 194 to 31 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 14.0ms (38.8% of total)
ival-mult: 11.0ms (30.5% of total)
ival-add: 5.0ms (13.9% of total)
ival-sub: 3.0ms (8.3% of total)
ival-sqrt: 2.0ms (5.5% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))>
#<alt (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1))>
#<alt (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x)))))>
#<alt (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))>
#<alt (* (sqrt x) 3/2)>
#<alt (sqrt x)>
#<alt (* (/ 1 (sqrt x)) -3/2)>
#<alt (/ 1 (sqrt x))>
#<alt (* (/ 1 (+ -1 (/ -4 (sqrt x)))) -6)>
#<alt (/ 1 (+ -1 (/ -4 (sqrt x))))>
#<alt (+ -1 (/ -4 (sqrt x)))>
#<alt (/ -4 (sqrt x))>
#<alt (* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)>
#<alt (/ (+ x -1) (+ x (* 4 (sqrt x))))>
#<alt (+ x -1)>
#<alt (+ x (* 4 (sqrt x)))>
Outputs
#<alt (* -6 (- 1 (* 4 (sqrt x))))>
#<alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))>
#<alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))>
#<alt (+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))>
#<alt 6>
#<alt (+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))>
#<alt (+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))>
#<alt (+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))>
#<alt 6>
#<alt (+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))>
#<alt (+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))>
#<alt (+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))>
#<alt (/ -1 (- 1 (* 4 (sqrt x))))>
#<alt (- (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (- (* x (- (+ (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (- (* x (- (+ (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (* x (- (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (* -1 (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x))))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt 1>
#<alt (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 4 (sqrt (/ 1 x))) (* 2 (/ 1 x))))) (* -1 (/ (+ 1 (* 4 (sqrt x))) (pow x 2))))>
#<alt (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 4 (sqrt (/ 1 x))) (* 2 (/ 1 x)))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt x))) (pow x 2))) (+ (* -1 (/ (- (+ x (* -1/4 (sqrt x))) (* -1 (+ 1 (* 4 (sqrt x))))) (pow x 3))) (/ 1/16 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (+ 1 (* -4 (sqrt x)))) (* -1/4 (sqrt (/ 1 x)))) (+ (* -4 (sqrt (/ 1 x))) (+ (/ -1 (pow (sqrt -1) 2)) (/ 1 x)))) x)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -4 (sqrt x)))) (* -1 (/ (- (+ (* -4 (sqrt (/ 1 x))) (+ (* -1 (- (* -1/4 (sqrt x)) (+ 1 (+ (* -4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) (+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (+ (/ -1 (pow (sqrt -1) 2)) (/ 1 x))))) (* -1/4 (sqrt (/ 1 x)))) x))) x)))>
#<alt (/ 1 (- 1 (* 4 (sqrt x))))>
#<alt (+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt x>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) (+ (* -4 (sqrt (/ 1 x))) (/ 1/16 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))>
#<alt (/ 1 (- 1 (* 4 (sqrt x))))>
#<alt (+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))>
#<alt (* 4 (sqrt x))>
#<alt (+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (* 4 (sqrt x))))>
#<alt (+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ x (* -1/4 (sqrt x))))) (* 4 (sqrt x)))))>
#<alt (- (+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (+ x (* -1/4 (sqrt x))) (pow x 2))) (* 4 (sqrt x))))) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (+ x (* -1/4 (sqrt x))))))>
#<alt (* -4 (sqrt x))>
#<alt (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (* -1/4 (* (sqrt (/ 1 x)) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt x) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x))) (* -1 (/ x (pow (sqrt -1) 2)))) 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 (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))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 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 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (* -1/4 (sqrt x))>
#<alt (* x (+ 1/16 (* -1/4 (sqrt (/ 1 x)))))>
#<alt (* x (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/64 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))>
#<alt (* x (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* x (- (* 1/256 (/ 1 x)) (* 1/64 (sqrt (/ 1 (pow x 3)))))) (* 1/16 (/ 1 x))))))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (* -4 (sqrt (/ 1 x)))>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (/ (+ (* -4 (sqrt x)) (* -1 x)) x)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<alt (- (* -4 (sqrt (/ 1 x))) 1)>
#<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)))>
#<alt (* -4 (sqrt (/ 1 x)))>
#<alt (* -4 (sqrt (/ 1 x)))>
#<alt (* -4 (sqrt (/ 1 x)))>
#<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 (* -1/4 (sqrt (/ 1 x)))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (+ (* 1/16 (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/16 (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 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 (* 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)))>
Calls

48 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
2.0ms
x
@-inf
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
1.0ms
x
@0
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
1.0ms
x
@-inf
(/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1))
1.0ms
x
@-inf
(* (/ 1 (+ -1 (/ -4 (sqrt x)))) -6)

rewrite338.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4768×/-lowering-/.f32
4768×/-lowering-/.f64
2878×*-lowering-*.f32
2878×*-lowering-*.f64
1914×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030132
1175126
2145598
0878598
Stop Event
1×iter limit
1×node limit
Counts
16 → 528
Calls
Call 1
Inputs
(/ 6 (/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1)))
(/ (+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))) (+ x -1))
(+ x (/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x)))))
(/ (- 1 (* x 16)) (- 1 (* 4 (sqrt x))))
(* (sqrt x) 3/2)
(sqrt x)
(* (/ 1 (sqrt x)) -3/2)
(/ 1 (sqrt x))
(* (/ 1 (+ -1 (/ -4 (sqrt x)))) -6)
(/ 1 (+ -1 (/ -4 (sqrt x))))
(+ -1 (/ -4 (sqrt x)))
(/ -4 (sqrt x))
(* (/ (+ x -1) (+ x (* 4 (sqrt x)))) 6)
(/ (+ x -1) (+ x (* 4 (sqrt x))))
(+ x -1)
(+ x (* 4 (sqrt x)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) 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 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) 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 -1 binary64) (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))))
(+.f64 (*.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)))))))
(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 x #s(literal -1 binary64))))) #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 -1 binary64) (/.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 #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) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) 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 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 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))))) x))
(neg.f64 (/.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 #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 #s(literal 1 binary64) (/.f64 (+.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 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.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)))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal -16 binary64))))) (neg.f64 (neg.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 (*.f64 x #s(literal 16 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 x #s(literal 16 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 4 binary64))))))
(*.f64 (+.f64 (*.f64 x x) (*.f64 x #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))

simplify297.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
4512×*-lowering-*.f32
4512×*-lowering-*.f64
2392×+-lowering-+.f64
2392×+-lowering-+.f32
1666×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03832600
113562177
253192140
088492140
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -6 (- 1 (* 4 (sqrt x))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
6
(+ 6 (* -6 (/ (+ 1 (* 4 (sqrt x))) x)))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2)))))
(+ 6 (+ (* -6 (/ (+ 1 (* 4 (sqrt x))) x)) (+ (* -6 (/ (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))) (pow x 2))) (* 6 (/ (- (* 1/16 x) (+ (* -4 (* (sqrt x) (+ x (+ (* -4 (* (sqrt x) (+ 1 (* 4 (sqrt x))))) (* -1/4 (sqrt x)))))) (+ (* -1 (* (+ 1 (* 4 (sqrt x))) (+ x (* -1/4 (sqrt x))))) (* 1/4 (sqrt (pow x 3)))))) (pow x 3))))))
6
(+ 6 (* -6 (/ (+ 1 (* -4 (sqrt x))) x)))
(+ 6 (* -1 (/ (+ (* 6 (+ 1 (* -4 (sqrt x)))) (* 6 (/ (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))) x))) x)))
(+ 6 (* -1 (/ (+ (* -1 (/ (+ (* -6 (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x))))) (* -6 (/ (+ (* -1 (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (+ (* 4 (* (sqrt x) (- (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -4 (* (sqrt x) (+ 1 (* -4 (sqrt x))))) (* -1/4 (sqrt x)))))) (* (+ 1 (* -4 (sqrt x))) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x))) x)) (* 6 (+ 1 (* -4 (sqrt x))))) x)))
(/ -1 (- 1 (* 4 (sqrt x))))
(- (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(- (* x (- (+ (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(- (* x (- (+ (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (* x (- (* x (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (* -1 (- (* -1 (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x))))))))) (/ 1 (- 1 (* 4 (sqrt x)))))) (/ 1 (- 1 (* 4 (sqrt x)))))
1
(+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 4 (sqrt (/ 1 x))) (* 2 (/ 1 x))))) (* -1 (/ (+ 1 (* 4 (sqrt x))) (pow x 2))))
(- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 4 (sqrt (/ 1 x))) (* 2 (/ 1 x)))))) (+ (* -1 (/ (+ 1 (* 4 (sqrt x))) (pow x 2))) (+ (* -1 (/ (- (+ x (* -1/4 (sqrt x))) (* -1 (+ 1 (* 4 (sqrt x))))) (pow x 3))) (/ 1/16 (pow x 2)))))
1
(+ 1 (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ 1 (* -4 (sqrt x)))) (* -1/4 (sqrt (/ 1 x)))) (+ (* -4 (sqrt (/ 1 x))) (+ (/ -1 (pow (sqrt -1) 2)) (/ 1 x)))) x)))
(+ 1 (* -1 (/ (+ (* -1 (+ 1 (* -4 (sqrt x)))) (* -1 (/ (- (+ (* -4 (sqrt (/ 1 x))) (+ (* -1 (- (* -1/4 (sqrt x)) (+ 1 (+ (* -4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) (+ (* -1 (/ (+ (* -1/16 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (+ (/ -1 (pow (sqrt -1) 2)) (/ 1 x))))) (* -1/4 (sqrt (/ 1 x)))) x))) x)))
(/ 1 (- 1 (* 4 (sqrt x))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* x (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x))))))) (/ 1 (- 1 (* 4 (sqrt x)))))
x
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (+ (* -1/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) (+ (* -4 (sqrt (/ 1 x))) (/ 1/16 (pow x 2)))))
x
(* -1 (* x (- (* 4 (sqrt (/ 1 x))) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (+ (* 1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (/ -1/16 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x))) x)) 1)))
(/ 1 (- 1 (* 4 (sqrt x))))
(+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(+ (* -16 (/ x (- 1 (* 4 (sqrt x))))) (/ 1 (- 1 (* 4 (sqrt x)))))
(* 4 (sqrt x))
(+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (* 4 (sqrt x))))
(+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (+ x (* -1/4 (sqrt x))))) (* 4 (sqrt x)))))
(- (+ 1 (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (/ (+ x (* -1/4 (sqrt x))) (pow x 2))) (* 4 (sqrt x))))) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (+ x (* -1/4 (sqrt x))))))
(* -4 (sqrt x))
(+ (* -4 (sqrt x)) (* -1 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1/4 (sqrt x)) (* -1/4 (* (sqrt (/ 1 x)) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))
(+ (* -4 (sqrt x)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (/ (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt x) (- (* -1/4 (sqrt x)) (* -1 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/4 (sqrt x))) (* -1 (/ x (pow (sqrt -1) 2)))) 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)))
(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))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 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 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(* -1/4 (sqrt x))
(* x (+ 1/16 (* -1/4 (sqrt (/ 1 x)))))
(* x (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/64 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))))
(* x (+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* x (- (* 1/256 (/ 1 x)) (* 1/64 (sqrt (/ 1 (pow x 3)))))) (* 1/16 (/ 1 x))))))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(/ 1 (- (* -4 (sqrt (/ 1 x))) 1))
(* -4 (sqrt (/ 1 x)))
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(/ (+ (* -4 (sqrt x)) (* -1 x)) x)
(- (* -4 (sqrt (/ 1 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))) 1)
(- (* -4 (sqrt (/ 1 x))) 1)
(- (* -4 (sqrt (/ 1 x))) 1)
(* -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)))
(* -4 (sqrt (/ 1 x)))
(* -4 (sqrt (/ 1 x)))
(* -4 (sqrt (/ 1 x)))
(* -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))))
(* -1/4 (sqrt (/ 1 x)))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* -1/4 (* (sqrt x) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x))))) (+ (* 1/16 (/ 1 x)) (* 1/4 (sqrt (/ 1 x)))))))
(+ (* -1/4 (sqrt (/ 1 x))) (* x (+ (* 1/16 (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* x (- (* 1/16 (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/16 (/ 1 x)))))))))))
(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 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)))
(* 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)))
Outputs
(* -6 (- 1 (* 4 (sqrt x))))
(+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* 6 (* x (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))
(+.f64 (+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))) (*.f64 x #s(literal 6 binary64))))
(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* -6 (* x (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))) (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))))
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(+ (* -6 (- 1 (* 4 (sqrt x)))) (* x (+ (* 6 (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))) (* x (+ (* -6 (* (- 1 (* 4 (sqrt x))) (* (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x))))))) (* 6 (* x (* (pow (- 1 (* 4 (sqrt x))) 2) (* (pow (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))) 2) (- 1 (+ (* -1 (* (pow (- 1 (* 4 (sqrt x))) 2) (- 1 (* 16 (/ 1 (- 1 (* 4 (sqrt x)))))))) (* 4 (sqrt x)))))))))))))
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(/ 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 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.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 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.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 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(- (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.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 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
(/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -1 binary64) (+.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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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
#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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* x (- 1 (/ 1 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) x)
(* 4 (sqrt x))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x (* 4 (sqrt x)))
(+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+ x (* 4 (sqrt x)))
(+.f64 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)))))
(*.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)))))
(*.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)))))
(*.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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

eval114.0ms (1.1%)

Compiler

Compiled 19599 to 2704 computations (86.2% saved)

prune101.0ms (1%)

Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New8745879
Fresh21012
Picked145
Done055
Total87724901
Accuracy
100.0%
Counts
901 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓99.8%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
46.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓99.9%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 x #s(literal -1 binary64))))
✓99.9%
(/.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))))
59.5%
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) (+.f64 x #s(literal -1 binary64))))
46.1%
(/.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))))
56.9%
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
57.3%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))
✓42.9%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓43.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
4.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
4.0%
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
43.2%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
45.9%
(+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
4.0%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
✓59.5%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
7.0%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64))
57.4%
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
✓4.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3/2 binary64))
4.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
✓4.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓4.9%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
55.4%
#s(literal 6 binary64)
Compiler

Compiled 639 to 302 computations (52.7% saved)

regimes28.0ms (0.3%)

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

2 calls:

10.0ms
x
9.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%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)

regimes20.0ms (0.2%)

Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #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 (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 -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.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))
(/.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 (*.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 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #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 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 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)))))
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

2 calls:

10.0ms
x
8.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%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)

regimes10.0ms (0.1%)

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

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #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 (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 -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal -6 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.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))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) 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:

7.0ms
x
Results
AccuracySegmentsBranch
98.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

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

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #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 (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))))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 (+.f64 x #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))) #s(literal -6 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 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))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
98.4%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
96.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
Outputs
(+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
96.5%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.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)))
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
56.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 6 binary64)
Outputs
#s(literal 6 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
55.4%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.303191996415425e-10
1.7289297610666188
Results
14.0ms160×0valid
Compiler

Compiled 299 to 244 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (23.9% of total)
ival-add: 2.0ms (23.9% of total)
ival-mult: 2.0ms (23.9% of total)
ival-div: 1.0ms (11.9% of total)
ival-sqrt: 1.0ms (11.9% 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
20.0ms
2.303191996415425e-10
1.7289297610666188
Results
14.0ms160×0valid
Compiler

Compiled 279 to 224 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (25.9% of total)
ival-mult: 2.0ms (25.9% of total)
ival-sub: 1.0ms (13% of total)
ival-div: 1.0ms (13% of total)
ival-sqrt: 1.0ms (13% 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
20.0ms
2.303191996415425e-10
1.7289297610666188
Results
15.0ms160×0valid
Compiler

Compiled 259 to 204 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.5% of total)
ival-add: 2.0ms (20.3% of total)
ival-sub: 1.0ms (10.1% of total)
ival-div: 1.0ms (10.1% of total)
ival-sqrt: 1.0ms (10.1% 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
18.0ms
2.303191996415425e-10
1.7289297610666188
Results
13.0ms160×0valid
Compiler

Compiled 259 to 204 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 2.0ms (26.8% of total)
ival-mult: 2.0ms (26.8% of total)
ival-sub: 1.0ms (13.4% of total)
ival-div: 1.0ms (13.4% of total)
ival-sqrt: 1.0ms (13.4% 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
20.0ms
2.303191996415425e-10
1.7289297610666188
Results
13.0ms160×0valid
Compiler

Compiled 259 to 214 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (26.3% of total)
ival-mult: 2.0ms (26.3% of total)
ival-sub: 1.0ms (13.2% of total)
ival-div: 1.0ms (13.2% of total)
ival-sqrt: 1.0ms (13.2% 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
20.0ms
2.303191996415425e-10
1.7289297610666188
Results
15.0ms160×0valid
Compiler

Compiled 259 to 234 computations (9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (25.8% of total)
ival-mult: 2.0ms (25.8% of total)
ival-sub: 1.0ms (12.9% of total)
ival-div: 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)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.303191996415425e-10
1.7289297610666188
Results
13.0ms160×0valid
Compiler

Compiled 239 to 214 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (26% of total)
ival-mult: 2.0ms (26% of total)
ival-sub: 1.0ms (13% of total)
ival-div: 1.0ms (13% of total)
ival-sqrt: 1.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.303191996415425e-10
1.7289297610666188
Results
19.0ms160×0valid
Compiler

Compiled 219 to 194 computations (11.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 7.0ms (51.7% of total)
ival-add: 2.0ms (14.8% of total)
ival-mult: 2.0ms (14.8% of total)
ival-div: 1.0ms (7.4% of total)
ival-sqrt: 1.0ms (7.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
2.303191996415425e-10
1.7289297610666188
Results
13.0ms160×0valid
Compiler

Compiled 209 to 174 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (25.9% of total)
ival-mult: 2.0ms (25.9% of total)
ival-sub: 1.0ms (13% of total)
ival-div: 1.0ms (13% of total)
ival-sqrt: 1.0ms (13% 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
18.0ms
2.303191996415425e-10
1.7289297610666188
Results
13.0ms160×0valid
Compiler

Compiled 209 to 164 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 2.0ms (26.4% of total)
ival-mult: 2.0ms (26.4% of total)
ival-sub: 1.0ms (13.2% of total)
ival-div: 1.0ms (13.2% of total)
ival-sqrt: 1.0ms (13.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
42×+-commutative_binary64
32×*-commutative_binary64
16×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072272
1109272
2129272
3141272
4149272
5151272
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 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 (/.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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) 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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))) (*.f64 (/.f64 x (+.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 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #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 6 binary64)) (*.f64 (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64)))
(if (<=.f64 x #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 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal 6 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 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 7475975381435023/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 1098878309078401/18014398509481984 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)
Outputs
(/.f64 #s(literal 6 binary64) (/.f64 (+.f64 x (/.f64 (-.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 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 (/.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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) 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 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.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 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) x) #s(literal 1 binary64))) (*.f64 (/.f64 x (+.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 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 6 binary64) (/.f64 x (+.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 (/.f64 x (+.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 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #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 6 binary64)) (*.f64 (/.f64 x (+.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #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 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 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 -1 binary64) (/.f64 #s(literal -4 binary64) (sqrt.f64 x))))))
(if (<=.f64 x #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 6 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 #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)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 7475975381435023/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -2/3 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 1098878309078401/18014398509481984 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 1098878309078401/18014398509481984 binary64)) (+.f64 #s(literal -6 binary64) (*.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
#s(literal 6 binary64)

soundness2.7s (26.6%)

Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
4596×/-lowering-/.f32
4596×/-lowering-/.f64
4512×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02782107
19281704
231951644
086751644
01130
16330
254728
0854528
027130
1183127
21629124
08856124
03832600
113562177
253192140
088492140
03353692
111313109
234933001
084663001
025103
114288
2108188
0858488
0131825
1416704
21276673
34200673
08589673
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
1×iter limit
1×node limit
Compiler

Compiled 961 to 620 computations (35.5% saved)

preprocess88.0ms (0.9%)

Compiler

Compiled 606 to 186 computations (69.3% saved)

end0.0ms (0%)

Profiling

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