Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 11.2s)

analyze18.0ms (0.2%)

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

Compiled 16 to 12 computations (25% saved)

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

sample1.3s (11.6%)

Results
1.0s8256×0valid
1.0ms15×0invalid
Precisions
Click to see histograms. Total time spent on operations: 658.0ms
ival-mult: 203.0ms (30.9% of total)
ival-sub: 133.0ms (20.2% of total)
ival-div: 112.0ms (17% of total)
ival-sqrt: 97.0ms (14.7% of total)
ival-add: 90.0ms (13.7% of total)
const: 19.0ms (2.9% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess309.0ms (2.8%)

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)))

explain145.0ms (1.3%)

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
86.0ms468×0valid
8.0ms18×2valid
8.0ms26×1valid
Compiler

Compiled 105 to 35 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 8.0ms (25.2% of total)
ival-add: 6.0ms (18.9% of total)
ival-sqrt: 5.0ms (15.7% of total)
ival-div: 4.0ms (12.6% of total)
ival-sub: 4.0ms (12.6% of total)
backward-pass: 2.0ms (6.3% of total)
const: 1.0ms (3.1% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 12 computations (20% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.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)))))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify272.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓cost-diff0
(*.f64 #s(literal 6 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓cost-diff0
(/.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)))))
Rules
2502×sum5-define
2200×sum3-define
1228×fmsub-define
1226×fnmsub-define
1120×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01245
12643
24942
39342
415242
528642
660842
797342
8157942
9220542
10324842
11501442
12632142
13649742
14718542
15718542
16738942
0738942
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
(+ (* 6 x) -6)
(* 6 x)
6
x
-6
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
1
(* (sqrt x) -4)
(sqrt x)
-4
Outputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+ (* 6 x) -6)
(*.f64 #s(literal 6 binary64) (+.f64 x #s(literal -1 binary64)))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
-6
#s(literal -6 binary64)
(+ x (- 1 (* (sqrt x) -4)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 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)
-4
#s(literal -4 binary64)

localize63.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 6 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.8%
(/.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)))))
Results
38.0ms234×0valid
7.0ms9×2valid
4.0ms13×1valid
Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 5.0ms (25.1% of total)
ival-add: 4.0ms (20.1% of total)
backward-pass: 4.0ms (20.1% of total)
ival-div: 2.0ms (10% of total)
ival-sub: 2.0ms (10% of total)
ival-sqrt: 2.0ms (10% of total)
const: 1.0ms (5% of total)

series9.0ms (0.1%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))>
#<alt (+ (* 6 x) -6)>
#<alt (* 6 x)>
#<alt (+ x (- 1 (* (sqrt x) -4)))>
#<alt (sqrt x)>
Outputs
#<alt (/ -6 (- 1 (* -4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<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 (* 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 (- 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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
3.0ms
x
@-inf
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms
x
@inf
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms
x
@0
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
1.0ms
x
@0
(+ x (- 1 (* (sqrt x) -4)))
0.0ms
x
@inf
(+ x (- 1 (* (sqrt x) -4)))

rewrite727.0ms (6.5%)

Algorithm
1×batch-egg-rewrite
Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
3920×/-lowering-/.f32
3920×/-lowering-/.f64
1550×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
17428
262828
0863928
Stop Event
1×iter limit
1×node limit
Counts
5 → 322
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (sqrt x) -4))))
(+ (* 6 x) -6)
(* 6 x)
(+ x (- 1 (* (sqrt x) -4)))
(sqrt x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 #s(literal 6 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -6 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (*.f64 #s(literal 6 binary64) x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) x) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(+.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))))))
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(*.f64 (+.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 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify248.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
2620×*-lowering-*.f32
2620×*-lowering-*.f64
2028×sum3-define
1986×sum4-define
1768×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139859
1438754
21503675
35278675
08255675
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-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)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 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))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 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))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) 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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(+.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 x x)) (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 1 binary64) x) (+.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 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) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64))) x)))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(+.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 -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.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))) (/.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)))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.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 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)))))
(/.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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+.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) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.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 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)))) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (/.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #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)) x))
-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)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(* x (- 1 (* -4 (sqrt (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(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)

eval51.0ms (0.5%)

Compiler

Compiled 11696 to 1068 computations (90.9% saved)

prune51.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3739382
Fresh000
Picked011
Done000
Total37310383
Accuracy
100.0%
Counts
383 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
69.7%
(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 216 binary64))) #s(literal -216 binary64)) (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
76.5%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
✓99.8%
(/.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)))))
▶54.1%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
48.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
▶48.0%
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
51.7%
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
▶51.5%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
Compiler

Compiled 295 to 230 computations (22% saved)

simplify160.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓cost-diff0
(*.f64 #s(literal 6 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 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-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 #s(literal 1 binary64))
✓cost-diff0
(-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
Rules
2180×sum3-define
1602×fnmadd-define
1436×fmsub-define
1332×fma-lowering-fma.f32
1332×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026202
156190
2121188
3299188
4784188
51460188
62564188
74592188
08096188
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6)))
1
(/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6))
(- (+ x 1) (* (sqrt x) -4))
(+ x 1)
x
(* (sqrt x) -4)
(sqrt x)
-4
(+ (* 6 x) -6)
(* 6 x)
6
-6
(/ -6 (+ 1 (* (sqrt x) 4)))
-6
(+ 1 (* (sqrt x) 4))
1
(* (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)
x
4
(/ (+ (* 6 x) -6) (+ 1 (* (sqrt x) 4)))
(+ (* 6 x) -6)
(* 6 x)
6
x
-6
(+ 1 (* (sqrt x) 4))
1
(* (sqrt x) 4)
(sqrt x)
4
(/ (/ 1 (- (+ x 1) (* (sqrt x) -4))) (/ 1 (+ (* 6 x) -6)))
(/ 1 (- (+ x 1) (* (sqrt x) -4)))
1
(- (+ x 1) (* (sqrt x) -4))
(+ x 1)
x
(* (sqrt x) -4)
(sqrt x)
-4
(/ 1 (+ (* 6 x) -6))
(+ (* 6 x) -6)
(* 6 x)
6
-6
Outputs
(/ 1 (/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6)))
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
1
#s(literal 1 binary64)
(/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6))
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))
(- (+ x 1) (* (sqrt x) -4))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 binary64)
(+ (* 6 x) -6)
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
-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 (+ 1 (* (sqrt (/ 1 x)) 4)))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
6
#s(literal 6 binary64)
(+ 1 (* (sqrt (/ 1 x)) 4))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1
#s(literal 1 binary64)
(* (sqrt (/ 1 x)) 4)
(*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
4
#s(literal 4 binary64)
(/ (+ (* 6 x) -6) (+ 1 (* (sqrt x) 4)))
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(+ (* 6 x) -6)
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
x
-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)
4
#s(literal 4 binary64)
(/ (/ 1 (- (+ x 1) (* (sqrt x) -4))) (/ 1 (+ (* 6 x) -6)))
(/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/ 1 (- (+ x 1) (* (sqrt x) -4)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
1
#s(literal 1 binary64)
(- (+ x 1) (* (sqrt x) -4))
(+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(* (sqrt x) -4)
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 binary64)
(/ 1 (+ (* 6 x) -6))
(/.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 1 binary64) x))
(+ (* 6 x) -6)
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
-6
#s(literal -6 binary64)

localize198.0ms (1.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 6 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.7%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓accuracy100.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.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))))
✓accuracy99.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.6%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
Results
117.0ms234×0valid
15.0ms13×1valid
12.0ms9×2valid
Compiler

Compiled 223 to 27 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 17.0ms (38.6% of total)
ival-mult: 9.0ms (20.4% of total)
ival-add: 7.0ms (15.9% of total)
ival-sqrt: 5.0ms (11.4% of total)
backward-pass: 4.0ms (9.1% of total)
const: 1.0ms (2.3% of total)
ival-sub: 1.0ms (2.3% of total)

series18.0ms (0.2%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6)))>
#<alt (/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6))>
#<alt (- (+ x 1) (* (sqrt x) -4))>
#<alt (+ x 1)>
#<alt (/ -6 (+ 1 (* (sqrt x) 4)))>
#<alt (+ 1 (* (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 (sqrt (/ 1 x))>
#<alt (/ (+ (* 6 x) -6) (+ 1 (* (sqrt x) 4)))>
#<alt (+ (* 6 x) -6)>
#<alt (* 6 x)>
#<alt (/ (/ 1 (- (+ x 1) (* (sqrt x) -4))) (/ 1 (+ (* 6 x) -6)))>
#<alt (/ 1 (+ (* 6 x) -6))>
#<alt (/ 1 (- (+ x 1) (* (sqrt x) -4)))>
Outputs
#<alt (/ -6 (- 1 (* -4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (* -1/6 (- 1 (* -4 (sqrt x))))>
#<alt (+ (* -1 (* x (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))) (* -1/6 (- 1 (* -4 (sqrt x)))))>
#<alt (+ (* -1/6 (- 1 (* -4 (sqrt x)))) (* x (- (* -1 (* x (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))) (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))))>
#<alt (+ (* -1/6 (- 1 (* -4 (sqrt x)))) (* x (- (* x (- (* -1 (* x (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))) (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))) (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))))>
#<alt (* 1/6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)))>
#<alt (- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) (+ (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 2)))))>
#<alt (- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))) (+ (* -1 (/ (- 1/6 (* -1/6 (- 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))))))>
#<alt (* 1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- (+ (* 1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x))) (* -1/6 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (/ (- (+ (* -1 (- 1/6 (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* -1/6 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) (* 1/6 (/ 1 x))) x)) (* 1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (/ (+ (* -1 (- 1/6 (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* -1 (/ (- (+ (* -1 (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) 1/6)) (* 1/6 (/ 1 x))) (* -1/6 (/ (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x))) x)) (* 1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (/ -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 (* 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 (* 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 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (/ (+ x (* 4 (sqrt x))) x)>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (sqrt (/ 1 x))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (sqrt (/ 1 x)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (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 (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8)>
#<alt (- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x))))))>
#<alt (* -3/2 (sqrt x))>
#<alt (- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x)))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<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 (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt -1/6>
#<alt (- (* -1/6 x) 1/6)>
#<alt (- (* x (- (* -1/6 x) 1/6)) 1/6)>
#<alt (- (* x (- (* x (- (* -1/6 x) 1/6)) 1/6)) 1/6)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/6 (/ 1 x))) x)>
#<alt (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)>
#<alt (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))) x)>
#<alt (/ 1/6 x)>
#<alt (/ (+ 1/6 (* 1/6 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/6 (/ 1 x))) x)) 1/6) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)) 1/6) x))>
#<alt (/ 1 (- 1 (* -4 (sqrt x))))>
#<alt (+ (* -1 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (/ 1 (- 1 (* -4 (sqrt x)))))>
#<alt (+ (* x (- (/ x (pow (- 1 (* -4 (sqrt x))) 3)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))>
#<alt (/ 1 (* x (- 1 (* -4 (sqrt (/ 1 x))))))>
#<alt (/ (- (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)>
#<alt (/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4))))) x)>
#<alt (/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))>
Calls

54 calls:

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

rewrite397.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4104×/-lowering-/.f32
4104×/-lowering-/.f64
3392×*-lowering-*.f32
3392×*-lowering-*.f64
1740×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026128
1175112
21454112
08389112
Stop Event
1×iter limit
1×node limit
Counts
18 → 1022
Calls
Call 1
Inputs
(/ 1 (/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6)))
(/ (- (+ x 1) (* (sqrt x) -4)) (+ (* 6 x) -6))
(- (+ x 1) (* (sqrt x) -4))
(+ x 1)
(/ -6 (+ 1 (* (sqrt x) 4)))
(+ 1 (* (sqrt x) 4))
(* (sqrt x) 4)
(sqrt x)
(/ 6 (+ 1 (* (sqrt (/ 1 x)) 4)))
(+ 1 (* (sqrt (/ 1 x)) 4))
(* (sqrt (/ 1 x)) 4)
(sqrt (/ 1 x))
(/ (+ (* 6 x) -6) (+ 1 (* (sqrt x) 4)))
(+ (* 6 x) -6)
(* 6 x)
(/ (/ 1 (- (+ x 1) (* (sqrt x) -4))) (/ 1 (+ (* 6 x) -6)))
(/ 1 (+ (* 6 x) -6))
(/ 1 (- (+ x 1) (* (sqrt x) -4)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal -6 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) #s(literal -6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 x #s(literal 6 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(+.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (*.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))) #s(literal -1 binary64))))
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simplify391.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
3018×*-lowering-*.f32
3018×*-lowering-*.f64
2618×+-lowering-+.f64
2618×+-lowering-+.f32
1576×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04113397
113422723
245932656
084052656
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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(* 1/6 (- 1 (* -4 (sqrt (/ 1 x)))))
(- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (* 1/6 (/ 1 x))) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)))
(- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) (+ (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 2)))))
(- (+ (* 1/6 (- 1 (* -4 (sqrt (/ 1 x))))) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))) (+ (* -1 (/ (- 1/6 (* -1/6 (- 1 (* -4 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) x)) (* -1/6 (/ (- 1 (* -4 (sqrt (/ 1 x)))) (pow x 3))))))
(* 1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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(- (+ 1 x) (* -4 (sqrt x)))
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(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
1
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x
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(/ -6 (+ 1 (* 4 (sqrt x))))
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(/ -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 (* 4 (sqrt x)))
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(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/ 6 (+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* 4 (sqrt (/ 1 x)))
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(/ (+ x (* 4 (sqrt x))) x)
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (sqrt (/ 1 x))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ 1 (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (sqrt (/ 1 x)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(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))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(* 3/2 (sqrt x))
(- (+ (* -3/2 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* -1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x)))) (* 3/2 (sqrt x)))) 3/8)
(- (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 1/16 (/ (- (* -3/2 (sqrt x)) (* 3/8 x)) (pow x 2))) (* 3/2 (sqrt x)))) (+ 3/8 (* 1/4 (* (sqrt (/ 1 (pow x 3))) (- (* -3/2 (sqrt x)) (* 3/8 x))))))
(* -3/2 (sqrt x))
(- (+ (* -3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))) (/ -3/8 (pow (sqrt -1) 2)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1/4 (* (sqrt (/ 1 x)) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x)))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -1/16 (/ (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (* (sqrt x) (- (* 3/2 (sqrt x)) (* -3/8 (/ x (pow (sqrt -1) 2))))))) x))) x)))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
-1/6
(- (* -1/6 x) 1/6)
(- (* x (- (* -1/6 x) 1/6)) 1/6)
(- (* x (- (* x (- (* -1/6 x) 1/6)) 1/6)) 1/6)
(/ 1/6 x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))) x)
(/ 1/6 x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/6 (/ 1 x))) x)) 1/6) x))
(* -1 (/ (- (* -1 (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)) 1/6) x))
(/ 1 (- 1 (* -4 (sqrt x))))
(+ (* -1 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (/ 1 (- 1 (* -4 (sqrt x)))))
(+ (* x (- (/ x (pow (- 1 (* -4 (sqrt x))) 3)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))
(/ 1 (* x (- 1 (* -4 (sqrt (/ 1 x))))))
(/ (- (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4))))) x)
(/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
Outputs
(/ -6 (- 1 (* -4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (/.f64 #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 (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 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 #s(literal 6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (+.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 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))))) (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))))) (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(/ 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))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) 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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(+.f64 (/.f64 (/.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 2 binary64))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (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 #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 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (/.f64 (/.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 2 binary64))) x)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(-.f64 (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (/.f64 (/.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 2 binary64))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 x (*.f64 x (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 4 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 x (*.f64 x x))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(/.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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.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 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)))) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (/.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 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 4 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)))) x)) x)) x))
(* -1/6 (- 1 (* -4 (sqrt x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal -1/6 binary64))
(+ (* -1 (* x (+ 1/6 (* 1/6 (- 1 (* -4 (sqrt x))))))) (* -1/6 (- 1 (* -4 (sqrt x)))))
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(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x)) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x)
(/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/6 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/6 (/ 1 x))) x)) 1/6) x))
(/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/6 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1/6 (+ (/ 1/6 (pow x 2)) (* 1/6 (/ 1 x)))) x)) 1/6) x))
(/.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) 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 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (/ 1 (- 1 (* -4 (sqrt x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (- 1 (* -4 (sqrt x))) 3)) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (*.f64 x (-.f64 (/.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) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- 1 (* -4 (sqrt x))) 4))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))) (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))) (/ 1 (- 1 (* -4 (sqrt x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x))) #s(literal 2 binary64))))))
(/ 1 (* x (- 1 (* -4 (sqrt (/ 1 x))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(/ (- (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 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) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 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 1 binary64) x) (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 2 binary64)))) x)) x)
(/ (- (+ (/ 1 (* (pow x 2) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (+ (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))) (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 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 1 binary64) x) (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 2 binary64)))) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (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)
(/ 1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (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 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) x)) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 4 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 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) x)

eval591.0ms (5.3%)

Compiler

Compiled 49136 to 4107 computations (91.6% saved)

prune243.0ms (2.2%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1745111756
Fresh134
Picked235
Done011
Total1748181766
Accuracy
100.0%
Counts
1766 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 binary64))
▶4.0%
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
▶76.5%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
✓99.8%
(/.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)))))
✓54.1%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
48.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
48.1%
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 16 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
48.0%
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -6 binary64)))
▶51.7%
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓51.5%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
4.4%
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
▶4.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
4.4%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
▶4.1%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Compiler

Compiled 344 to 278 computations (19.2% saved)

simplify163.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓cost-diff0
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
✓cost-diff128
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) 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 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓cost-diff0
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 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
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓cost-diff0
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))))
✓cost-diff0
(*.f64 #s(literal 6 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
Rules
2396×fnmadd-define
1980×fma-lowering-fma.f32
1980×fma-lowering-fma.f64
1544×fma-define
1450×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030138
160134
2107132
3199132
4319131
5660131
61516131
72683131
84135131
96258131
08072131
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))
(+ (* 6 x) -6)
(* 6 x)
6
x
-6
(+ x (- 1 (* (pow (* x x) 1/4) -4)))
(- 1 (* (pow (* x x) 1/4) -4))
1
(* (pow (* x x) 1/4) -4)
(pow (* x x) 1/4)
(* x x)
1/4
-4
(* (sqrt x) -3/2)
(sqrt x)
x
-3/2
(* (sqrt (/ 1 x)) 3/2)
(sqrt (/ 1 x))
(/ 1 x)
1
x
3/2
(/ -6 (+ x (- 1 (* (sqrt x) -4))))
-6
(+ x (- 1 (* (sqrt x) -4)))
x
(- 1 (* (sqrt x) -4))
1
(* (sqrt x) -4)
(sqrt x)
-4
(/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))
(+ (* (sqrt x) -3/2) -3/8)
(* (sqrt x) -3/2)
(sqrt x)
x
-3/2
-3/8
(- 0 x)
0
Outputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+ (* 6 x) -6)
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
-6
#s(literal -6 binary64)
(+ x (- 1 (* (pow (* x x) 1/4) -4)))
(+.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))
(- 1 (* (pow (* x x) 1/4) -4))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(* (pow (* x x) 1/4) -4)
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(pow (* x x) 1/4)
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(* x x)
(*.f64 x x)
1/4
#s(literal 1/4 binary64)
-4
#s(literal -4 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)
(* (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 (+ x (- 1 (* (sqrt x) -4))))
(/.f64 #s(literal 6 binary64) (+.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x)))
-6
#s(literal -6 binary64)
(+ x (- 1 (* (sqrt x) -4)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))
x
(- 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 #s(literal -4 binary64) (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 binary64)
(/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) #s(literal 3/8 binary64)) x)
(+ (* (sqrt x) -3/2) -3/8)
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 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)
-3/8
#s(literal -3/8 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize211.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
✓accuracy99.8%
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓accuracy100.0%
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy100.0%
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
✓accuracy99.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 6 binary64) x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.8%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
✓accuracy50.9%
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
Results
112.0ms234×0valid
46.0ms13×1valid
11.0ms9×2valid
Compiler

Compiled 155 to 31 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 14.0ms (27.4% of total)
ival-div: 9.0ms (17.6% of total)
ival-pow: 8.0ms (15.6% of total)
ival-add: 7.0ms (13.7% of total)
ival-sub: 4.0ms (7.8% of total)
ival-sqrt: 4.0ms (7.8% of total)
backward-pass: 3.0ms (5.9% of total)
const: 2.0ms (3.9% of total)

series85.0ms (0.8%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))>
#<alt (+ (* 6 x) -6)>
#<alt (* 6 x)>
#<alt (+ x (- 1 (* (pow (* x x) 1/4) -4)))>
#<alt (* (sqrt x) -3/2)>
#<alt (sqrt x)>
#<alt (* (sqrt (/ 1 x)) 3/2)>
#<alt (sqrt (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ -6 (+ x (- 1 (* (sqrt x) -4))))>
#<alt (+ x (- 1 (* (sqrt x) -4)))>
#<alt (- 1 (* (sqrt x) -4))>
#<alt (* (sqrt x) -4)>
#<alt (/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))>
#<alt (+ (* (sqrt x) -3/2) -3/8)>
#<alt (pow (* x x) 1/4)>
Outputs
#<alt (/ -6 (- 1 (* -4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -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 (* 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 (- 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* -3/2 (sqrt x))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* 3/2 (* (sqrt (/ 1 x)) (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 (/ -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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))>
#<alt (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))>
#<alt (* 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 (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))>
#<alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))>
#<alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))>
#<alt (* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (- (* -3/2 (sqrt x)) 3/8)>
#<alt (- (* -3/2 (sqrt x)) 3/8)>
#<alt (- (* -3/2 (sqrt x)) 3/8)>
#<alt (- (* -3/2 (sqrt x)) 3/8)>
#<alt (* -3/2 (sqrt x))>
#<alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))>
#<alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))>
#<alt (* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))>
#<alt (* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 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) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
#<alt (* -1 (* (sqrt x) (sqrt -1)))>
Calls

48 calls:

TimeVariablePointExpression
70.0ms
x
@0
(/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))
5.0ms
x
@-inf
(/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))
1.0ms
x
@-inf
(/ -6 (+ x (- 1 (* (sqrt x) -4))))
1.0ms
x
@0
(/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))
0.0ms
x
@inf
(/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))

rewrite319.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3558×/-lowering-/.f32
3558×/-lowering-/.f64
2818×*-lowering-*.f32
2818×*-lowering-*.f64
1654×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03093
118781
2163479
0894579
Stop Event
1×iter limit
1×node limit
Counts
16 → 694
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (pow (* x x) 1/4) -4))))
(+ (* 6 x) -6)
(* 6 x)
(+ x (- 1 (* (pow (* x x) 1/4) -4)))
(* (sqrt x) -3/2)
(sqrt x)
(* (sqrt (/ 1 x)) 3/2)
(sqrt (/ 1 x))
(/ 1 x)
(/ -6 (+ x (- 1 (* (sqrt x) -4))))
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
(* (sqrt x) -4)
(/ (+ (* (sqrt x) -3/2) -3/8) (- 0 x))
(+ (* (sqrt x) -3/2) -3/8)
(pow (* x x) 1/4)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (+.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))))) (/.f64 (/.f64 #s(literal 36 binary64) (+.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))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal 6 binary64) x)) (-.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (-.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 36 binary64)) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
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(*.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (*.f64 x x)) x)
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))) x))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) x))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (neg.f64 (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))
(-.f64 (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))))
(-.f64 (/.f64 #s(literal 9/64 binary64) (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))) (/.f64 (*.f64 x #s(literal 9/4 binary64)) (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))))
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 #s(literal -3/2 binary64) (sqrt.f64 x) #s(literal -3/8 binary64))
(neg.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(/.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64))) (neg.f64 (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))))
(/.f64 (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64))) (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)) #s(literal 9/64 binary64))) (*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64)))) (neg.f64 (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))) (*.f64 (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))) (/.f64 #s(literal 9/64 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)))
(*.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(*.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64)) #s(literal -27/512 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 9/64 binary64)) (*.f64 (sqrt.f64 x) #s(literal 9/16 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal -9/64 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal 3/8 binary64)))))
(*.f64 (-.f64 #s(literal 9/64 binary64) (*.f64 x #s(literal 9/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/8 binary64))))
(sqrt.f64 x)
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x (*.f64 x x))) x)
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))

simplify300.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4974×*-lowering-*.f32
4974×*-lowering-*.f64
2298×+-lowering-+.f64
2298×+-lowering-+.f32
1836×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02411948
18041773
225641649
082291649
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -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)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (sqrt -1))) (/ 1 x))))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* -3/2 (sqrt x))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (sqrt (/ 1 x)))
(* 3/2 (* (sqrt (/ 1 x)) (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)
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* 6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt 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))))))
(/ -6 (* x (- 1 (* -4 (sqrt (/ 1 x))))))
(/ (- (* 6 (/ 1 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) x)
(/ (- (/ 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)
(/ (- (+ (* 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)
(/ -6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (/ (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(* 4 (sqrt x))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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)))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* -1 (/ (- (* -3/2 (sqrt x)) 3/8) x))
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(- (* -3/2 (sqrt x)) 3/8)
(* -3/2 (sqrt x))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (sqrt -1)))
Outputs
(/ -6 (- 1 (* -4 (sqrt x))))
(/.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))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 (-.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) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))))) x) (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (+.f64 (*.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))) (*.f64 x 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))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) 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 #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) x))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(-.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (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 0 binary64) (*.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 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.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 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))) #s(literal -1 binary64)))) x))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.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 #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)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (/.f64 #s(literal 1 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 -6 binary64) x))) (/.f64 #s(literal -6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))) (/.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.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 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))
(+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 2 binary64)))) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (sqrt -1)))))))
(-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal -6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 4 binary64)))) x)) x))) x))
-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)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(* x (- 1 (* -4 (sqrt (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
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(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(- (* -3/2 (sqrt x)) 3/8)
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64))
(* -3/2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 binary64) x)))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 binary64) x)))
(* x (- (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 binary64) x)))
(* 3/2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 binary64) x)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 binary64) x)))
(* -1 (* x (+ (* -3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))))
(+.f64 #s(literal -3/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3/2 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) (sqrt -1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))

eval132.0ms (1.2%)

Compiler

Compiled 22658 to 2214 computations (90.2% saved)

prune183.0ms (1.6%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New9764980
Fresh099
Picked325
Done044
Total97919998
Accuracy
100.0%
Counts
998 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 binary64))
4.0%
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
▶99.9%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal -4 binary64)))))
✓99.8%
(/.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)))))
✓54.1%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
▶48.2%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
48.1%
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 16 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
48.0%
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
4.1%
(/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -6 binary64)))
✓51.7%
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓51.5%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
▶4.4%
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
▶4.0%
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
▶4.4%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓4.1%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Compiler

Compiled 340 to 273 computations (19.7% saved)

simplify155.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
✓cost-diff0
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
✓cost-diff0
(*.f64 x #s(literal 6 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓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 3/8 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 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
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓cost-diff0
(+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal -4 binary64))))
✓cost-diff0
(*.f64 #s(literal 6 binary64) x)
✓cost-diff0
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal -4 binary64)))))
Rules
2164×fnmadd-define
1486×fnmsub-define
1486×fmsub-define
1478×fma-define
1366×sum3-define
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
029145
162138
2119136
3236136
4410136
5746136
61780136
74173136
86252134
97429134
08087134
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (/ x (sqrt x)) -4))))
(+ (* 6 x) -6)
(* 6 x)
6
x
-6
(+ x (- 1 (* (/ x (sqrt x)) -4)))
(- 1 (* (/ x (sqrt x)) -4))
1
(* (/ x (sqrt x)) -4)
(/ x (sqrt x))
(sqrt x)
-4
(* (sqrt x) 3/2)
(sqrt x)
x
3/2
(/ -6 (* (sqrt x) 4))
-6
(* (sqrt x) 4)
(sqrt x)
x
4
(+ (/ 3/8 x) (* (sqrt (/ 1 x)) 3/2))
(/ 3/8 x)
3/8
x
(* (sqrt (/ 1 x)) 3/2)
(sqrt (/ 1 x))
(/ 1 x)
1
3/2
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(* x 6)
x
6
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
1
(* (sqrt x) -4)
(sqrt x)
-4
Outputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (/ x (sqrt x)) -4))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) 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))))))
(+ (* 6 x) -6)
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
-6
#s(literal -6 binary64)
(+ x (- 1 (* (/ x (sqrt x)) -4)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(- 1 (* (/ x (sqrt x)) -4))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 4 binary64)) (sqrt.f64 x)))
1
#s(literal 1 binary64)
(* (/ x (sqrt x)) -4)
(/.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 x))
(/ x (sqrt x))
(/.f64 x (sqrt.f64 x))
(sqrt x)
(sqrt.f64 x)
-4
#s(literal -4 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)
(/ -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)
(+ (/ 3/8 x) (* (sqrt (/ 1 x)) 3/2))
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
3/8
#s(literal 3/8 binary64)
x
(* (sqrt (/ 1 x)) 3/2)
(*.f64 #s(literal 3/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
3/2
#s(literal 3/2 binary64)
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(/.f64 (*.f64 #s(literal 6 binary64) x) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(* x 6)
(*.f64 #s(literal 6 binary64) x)
x
6
#s(literal 6 binary64)
(+ x (- 1 (* (sqrt x) -4)))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 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)
-4
#s(literal -4 binary64)

localize214.0ms (1.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 6 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓accuracy100.0%
(/.f64 #s(literal 3/8 binary64) x)
✓accuracy99.9%
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64))
✓accuracy99.5%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.6%
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
✓accuracy99.8%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal -4 binary64)))))
✓accuracy99.2%
(/.f64 x (sqrt.f64 x))
Results
129.0ms211×0valid
31.0ms36×1valid
11.0ms9×2valid
Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 36.0ms (41.5% of total)
ival-add: 22.0ms (25.4% of total)
ival-mult: 14.0ms (16.2% of total)
ival-sqrt: 5.0ms (5.8% of total)
backward-pass: 4.0ms (4.6% of total)
ival-sub: 3.0ms (3.5% of total)
const: 1.0ms (1.2% of total)

series12.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (/ (+ (* 6 x) -6) (+ x (- 1 (* (/ x (sqrt x)) -4))))>
#<alt (+ (* 6 x) -6)>
#<alt (* 6 x)>
#<alt (+ x (- 1 (* (/ x (sqrt x)) -4)))>
#<alt (* (sqrt x) 3/2)>
#<alt (sqrt x)>
#<alt (/ -6 (* (sqrt x) 4))>
#<alt (* (sqrt x) 4)>
#<alt (+ (/ 3/8 x) (* (sqrt (/ 1 x)) 3/2))>
#<alt (/ 3/8 x)>
#<alt (* (sqrt (/ 1 x)) 3/2)>
#<alt (sqrt (/ 1 x))>
#<alt (/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))>
#<alt (* x 6)>
#<alt (+ x (- 1 (* (sqrt x) -4)))>
#<alt (- 1 (* (sqrt x) -4))>
#<alt (/ x (sqrt x))>
#<alt (* (sqrt x) -4)>
Outputs
#<alt (/ -6 (- 1 (* -4 (sqrt x))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))>
#<alt (/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))>
#<alt (- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<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 (- 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 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 (* 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 (* 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 (/ (+ 3/8 (* 3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (* 3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (* 3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (* 3/2 (sqrt x))) x)>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))>
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 x)>
#<alt (/ 3/8 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 (* 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))>
#<alt (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))>
#<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 (- 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))>
#<alt (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))>
#<alt (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (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))>
#<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

54 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+ x (- 1 (* (/ x (sqrt x)) -4)))
1.0ms
x
@-inf
(/ (+ (* 6 x) -6) (+ x (- 1 (* (/ x (sqrt x)) -4))))
1.0ms
x
@-inf
(/ -6 (* (sqrt x) 4))
0.0ms
x
@inf
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
0.0ms
x
@0
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))

rewrite279.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2844×/-lowering-/.f32
2844×/-lowering-/.f64
2814×*-lowering-*.f32
2814×*-lowering-*.f64
1506×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029105
118095
2151988
0984688
Stop Event
1×iter limit
1×node limit
Counts
18 → 574
Calls
Call 1
Inputs
(/ (+ (* 6 x) -6) (+ x (- 1 (* (/ x (sqrt x)) -4))))
(+ (* 6 x) -6)
(* 6 x)
(+ x (- 1 (* (/ x (sqrt x)) -4)))
(* (sqrt x) 3/2)
(sqrt x)
(/ -6 (* (sqrt x) 4))
(* (sqrt x) 4)
(+ (/ 3/8 x) (* (sqrt (/ 1 x)) 3/2))
(/ 3/8 x)
(* (sqrt (/ 1 x)) 3/2)
(sqrt (/ 1 x))
(/ (* x 6) (+ x (- 1 (* (sqrt x) -4))))
(* x 6)
(+ x (- 1 (* (sqrt x) -4)))
(- 1 (* (sqrt x) -4))
(/ x (sqrt x))
(* (sqrt x) -4)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (+.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))))) (/.f64 (/.f64 #s(literal 36 binary64) (+.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))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))))
(neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #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 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (*.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))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64))) (neg.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64))) (neg.f64 (*.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64)))) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64))) (neg.f64 (*.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)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal -216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal -36 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))) (neg.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 6 binary64))))
(pow.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 #s(literal 1 binary64) (/.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))))))
(*.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x))))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x))))))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (*.f64 x x) (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 1 binary64) (-.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
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(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 (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) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal 16 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))))
(/.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) (pow.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x #s(literal 16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))))
(*.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) (pow.f64 x #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 x (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 x #s(literal -4 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x #s(literal -4 binary64)))))
(/.f64 (*.f64 x #s(literal -4 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -4 binary64)))) (sqrt.f64 x))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -4 binary64))) (sqrt.f64 x))
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(*.f64 x (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -4 binary64)))
(*.f64 x (/.f64 #s(literal -4 binary64) (sqrt.f64 x)))
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(*.f64 (sqrt.f64 x) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal 4 binary64))
(*.f64 (*.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))

simplify259.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3866×*-lowering-*.f32
3866×*-lowering-*.f64
1748×+-lowering-+.f64
1748×+-lowering-+.f32
1540×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02281896
17501714
222341640
375631640
080111640
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ -6 (- 1 (* -4 (sqrt x))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 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))))
(* 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)))
(* 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)))
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(/ (+ 3/8 (* 3/2 (sqrt x))) x)
(* 3/2 (sqrt (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x)))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (/ 1 x)))
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 x)
(/ 3/8 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))
(* 6 (/ x (- 1 (* -4 (sqrt x)))))
(* x (+ (* -6 (/ x (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))
(* x (+ (* x (- (* 6 (/ x (pow (- 1 (* -4 (sqrt x))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x)))))))
(* 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)))))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(- (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (* 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)))) (/ 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))))))) (+ (* 6 (/ 1 (* (pow x 3) (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(- (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))))
(+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3))) (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4))))) x)) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) x)) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 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 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(- 1 (* -4 (sqrt x)))
(* 4 (sqrt x))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(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))
(* 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 (sqrt.f64 x) #s(literal 4 binary64))))
(- (* x (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(- (* x (+ (* -1 (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3)))))) (+ (* 6 (/ 1 (- 1 (* -4 (sqrt x))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2)))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x))))) (/.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))))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* x (- (/ (* x (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))) (- 1 (* -4 (sqrt x)))) (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 2))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt x))) 3))))))))) (* 6 (/ 1 (- 1 (* -4 (sqrt x))))))
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (-.f64 (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) x)))))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/ 6 (- 1 (* -4 (sqrt (/ 1 x)))))
(/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) 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 #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 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) x))
(- (+ (* 6 (/ 1 (* (pow x 2) (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)))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))))
(+.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 x x)) (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 1 binary64) x) (+.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 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)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (+ (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 4)))) (pow x 3))) (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (* -1 (/ (+ (* 6 (/ 1 (- 1 (* -4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (- 1 (* -4 (sqrt (/ 1 x))))))) (+ (/ 6 (* x (- 1 (* -4 (sqrt (/ 1 x)))))) (/ 6 (* x (pow (- 1 (* -4 (sqrt (/ 1 x)))) 2))))))
(+.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 -1 binary64) (*.f64 x x)) (-.f64 (/.f64 (+.f64 (/.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))) (/.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)))) 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.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 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)))))
(/.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 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))) 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 #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 2 binary64))) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) 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) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.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 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)))) x)) x))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4)))) x)) (+ (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))))) x)) (+ (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (* 6 (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))) 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 #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) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (+.f64 (/.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 2 binary64))) (-.f64 (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 4 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)))) x))) x))) x))
-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)))
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(- (+ 1 x) (* -4 (sqrt x)))
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(- (+ 1 x) (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(* x (- 1 (* -4 (sqrt (/ 1 x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (- (+ 1 (/ 1 x)) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)))))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(- 1 (* -4 (sqrt x)))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(* 4 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64))))
(* x (- (/ 1 x) (* -4 (sqrt (/ 1 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64))))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* 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 x #s(literal 4 binary64))))
(* 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 x #s(literal 4 binary64))))
(* 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 x #s(literal 4 binary64))))
(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)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(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))
(*.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))

eval133.0ms (1.2%)

Compiler

Compiled 19020 to 2044 computations (89.3% saved)

prune157.0ms (1.4%)

Pruning

24 alts after pruning (17 fresh and 7 done)

PrunedKeptTotal
New90211913
Fresh268
Picked415
Done066
Total90824932
Accuracy
100.0%
Counts
932 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 binary64))
99.9%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
✓99.8%
(/.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)))))
✓54.1%
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
47.9%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
4.4%
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
48.0%
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
4.1%
(/.f64 #s(literal 3/2 binary64) (sqrt.f64 x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
48.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x))) #s(literal 6 binary64)))
51.5%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -6 binary64)))
4.4%
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
✓51.7%
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
✓51.5%
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
4.0%
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
4.4%
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -3/2 binary64))
4.4%
(*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 3/2 binary64))
48.2%
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
4.4%
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
4.4%
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
4.4%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
✓4.4%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
✓4.1%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
48.3%
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
Compiler

Compiled 618 to 307 computations (50.3% saved)

regimes23.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 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 (*.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)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 #s(literal 6 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) 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 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))))
(/.f64 (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 216 binary64))) #s(literal -216 binary64)) (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 36 binary64)) #s(literal -36 binary64)))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
Calls

2 calls:

11.0ms
x
10.0ms
(/.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)

regimes19.0ms (0.2%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 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 (*.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)))))
Outputs
(/.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)))))
Calls

2 calls:

9.0ms
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
99.8%1x
99.8%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes49.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 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))))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Calls

2 calls:

38.0ms
(/.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))))
9.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes10.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))) #s(literal -1/6 binary64))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
97.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 6 binary64) (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) x)
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 x (-.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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
97.7%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal -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 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) #s(literal -3/8 binary64)) (-.f64 #s(literal 0 binary64) x))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) x)
(+.f64 (/.f64 #s(literal 3/8 binary64) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
97.6%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
Outputs
(/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
54.0%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(/.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 x (sqrt.f64 x)) #s(literal 3/2 binary64))
(/.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) x) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3/2 binary64))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -3/8 binary64) x))
Outputs
(/.f64 #s(literal -3/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
6.9%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
6.9%2x
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
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Outputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
4.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
3.058492646732344
420.8295976387836
Results
19.0ms112×0valid
Compiler

Compiled 215 to 175 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 10.0ms (65.2% of total)
ival-mult: 2.0ms (13% of total)
ival-div: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-sqrt: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.4234570723769268
3.058492646732344
Results
8.0ms96×0valid
Compiler

Compiled 175 to 140 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.9% of total)
ival-div: 1.0ms (20.9% of total)
ival-add: 1.0ms (20.9% of total)
ival-mult: 1.0ms (20.9% of total)
ival-sqrt: 1.0ms (20.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.4234570723769268
3.058492646732344
Results
9.0ms96×0valid
Compiler

Compiled 151 to 128 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (32.4% of total)
ival-sub: 1.0ms (16.2% of total)
ival-div: 1.0ms (16.2% of total)
ival-mult: 1.0ms (16.2% of total)
ival-sqrt: 1.0ms (16.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.4234570723769268
3.058492646732344
Results
10.0ms96×0valid
Compiler

Compiled 139 to 122 computations (12.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.2% of total)
ival-sub: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
ival-mult: 1.0ms (14.7% of total)
ival-sqrt: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.4234570723769268
3.058492646732344
Results
8.0ms96×0valid
Compiler

Compiled 115 to 98 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (21.4% of total)
ival-div: 1.0ms (21.4% of total)
ival-add: 1.0ms (21.4% of total)
ival-mult: 1.0ms (21.4% of total)
ival-sqrt: 1.0ms (21.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
0.4234570723769268
3.058492646732344
Results
8.0ms96×0valid
Compiler

Compiled 91 to 74 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.8% of total)
ival-div: 1.0ms (20.8% of total)
ival-add: 1.0ms (20.8% of total)
ival-mult: 1.0ms (20.8% of total)
ival-sqrt: 1.0ms (20.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.4234570723769268
3.058492646732344
Results
8.0ms96×0valid
Compiler

Compiled 91 to 74 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.5% of total)
ival-div: 1.0ms (20.5% of total)
ival-add: 1.0ms (20.5% of total)
ival-mult: 1.0ms (20.5% of total)
ival-sqrt: 1.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×+-commutative_binary64
32×*-commutative_binary64
30×neg-mul-1_binary64
28×unsub-neg_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050183
177183
297183
3112183
4138183
5175183
6178183
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.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)))))
(/.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))))
(if (<=.f64 x #s(literal 7/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Outputs
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
(/.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)))))
(/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #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 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(if (<=.f64 x #s(literal 7/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.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 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(if (<=.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 6 binary64) (/.f64 x (+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 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 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))

soundness3.1s (27.4%)

Rules
5122×*-lowering-*.f32
5122×*-lowering-*.f64
4104×/-lowering-/.f32
4104×/-lowering-/.f64
3920×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026128
1175112
21454112
08389112
01113
12513
24912
36612
48712
513312
621212
739612
881212
9139112
10319112
11573012
12612312
13613112
0613112
04113397
113422723
245932656
084052656
0139859
1438754
21503675
35278675
08255675
029105
118095
2151988
0984688
03093
118781
2163479
0894579
01230
17428
262828
0863928
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×saturated
1×iter limit
1×node limit
Compiler

Compiled 701 to 470 computations (33% saved)

preprocess70.0ms (0.6%)

Compiler

Compiled 428 to 144 computations (66.4% saved)

end0.0ms (0%)

Profiling

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