Data.Approximate.Numerics:blog from approximate-0.2.2.1

Time bar (total: 10.4s)

analyze2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 16 to 13 computations (18.8% saved)

sample1.2s (12%)

Memory
26.3MiB live, 1 395.2MiB allocated
Samples
910.0ms8 256×0valid
1.0ms13×0invalid
Precisions
Click to see histograms. Total time spent on operations: 700.0ms
ival-mult: 404.0ms (57.7% of total)
ival-sqrt: 107.0ms (15.3% of total)
ival-add: 73.0ms (10.4% of total)
ival-div: 51.0ms (7.3% of total)
ival-sub: 47.0ms (6.7% of total)
exact: 10.0ms (1.4% of total)
ival-true: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

preprocess164.0ms (1.6%)

Memory
-12.4MiB live, 74.3MiB allocated
Algorithm
egg-herbie
Rules
832×lower-fma.f64
832×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
13432
29430
329030
469130
5134530
6161630
7164330
8164530
01114
01814
13114
25214
35914
47914
511514
618414
729414
852714
980114
10134514
11159914
12162614
0162612
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))

explain423.0ms (4.1%)

Memory
-25.1MiB live, 246.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.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-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-#s(literal 4 binary64)
00-0-#s(literal 6 binary64)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
00-0-x
00-0-(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))o/n10
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms36×1valid
33.0ms456×0valid
4.0ms20×2valid
Compiler

Compiled 120 to 48 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 73.0ms (80.1% of total)
ival-add: 5.0ms (5.5% of total)
ival-sqrt: 4.0ms (4.4% of total)
ival-div: 3.0ms (3.3% of total)
ival-sub: 3.0ms (3.3% of total)
adjust: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify58.0ms (0.6%)

Memory
5.9MiB live, 88.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
cost-diff128
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
Rules
832×lower-fma.f64
832×lower-fma.f32
448×lower-*.f32
444×lower-*.f64
250×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01143
01843
13143
25243
35943
47943
511543
618443
729443
852743
980143
10134543
11159943
12162643
0162639
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (sqrt.f64 x))
#s(literal 4 binary64)
(sqrt.f64 x)

localize36.0ms (0.4%)

Memory
8.3MiB live, 84.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))
accuracy99.8%
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy99.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Samples
16.0ms228×0valid
5.0ms18×1valid
2.0ms10×2valid
Compiler

Compiled 45 to 13 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 3.0ms (24.8% of total)
ival-div: 2.0ms (16.5% of total)
ival-add: 2.0ms (16.5% of total)
ival-sub: 2.0ms (16.5% of total)
ival-sqrt: 2.0ms (16.5% of total)
adjust: 1.0ms (8.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-12.9MiB live, 28.0MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))>
#<alt (/.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))))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (sqrt.f64 x)>
Outputs
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (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
7.0ms
x
@inf
(* 6 (- x 1))
2.0ms
x
@-inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@inf
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))
1.0ms
x
@-inf
(+ (+ x 1) (* 4 (sqrt x)))
1.0ms
x
@0
(/ (* 6 (- x 1)) (+ (+ x 1) (* 4 (sqrt x))))

rewrite353.0ms (3.4%)

Memory
7.6MiB live, 683.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 996×lower-fma.f64
6 996×lower-fma.f32
5 704×lower-*.f32
5 700×lower-*.f64
4 836×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
252632
0844128
Stop Event
iter limit
node limit
iter limit
Counts
5 → 534
Calls
Call 1
Inputs
(*.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 #s(literal 4 binary64) (sqrt.f64 x))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 x)
Outputs
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal 6 binary64) x))
(+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 6 binary64)))
(+.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64))
(+.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal -6 binary64))
(neg.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 6 binary64)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x x)) #s(literal -6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 6 binary64))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 6 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -216 binary64)) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 6 binary64) x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -6 binary64)))
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(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 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))

simplify840.0ms (8.1%)

Memory
-7.4MiB live, 546.3MiB allocated
Algorithm
egg-herbie
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
4 238×lower-*.f64
4 238×lower-*.f32
3 520×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131940
1372865
21055829
33184747
08584670
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(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
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 6 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 6 binary64) (/.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 4 binary64)) x))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -6 binary64) (*.f64 x (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) x) (+.f64 (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) x) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(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)

eval168.0ms (1.6%)

Memory
23.9MiB live, 143.0MiB allocated
Compiler

Compiled 17 649 to 1 738 computations (90.2% saved)

prune94.0ms (0.9%)

Memory
-4.6MiB live, 193.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New58111592
Fresh000
Picked101
Done000
Total58211593
Accuracy
100.0%
Counts
593 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
74.5%
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
49.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
46.4%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
52.9%
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
75.1%
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
75.1%
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
99.8%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
Compiler

Compiled 338 to 232 computations (31.4% saved)

simplify161.0ms (1.6%)

Memory
-29.5MiB live, 61.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
cost-diff0
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
cost-diff0
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
cost-diff128
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
cost-diff0
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
cost-diff128
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
Rules
1 216×lower-fma.f32
1 212×lower-fma.f64
688×lower-*.f32
682×lower-*.f64
474×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023176
041176
178176
2132176
3165176
4255176
5446176
6947176
72033176
82340176
92393176
102393176
112395176
02395170
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
#s(literal 6 binary64)
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 #s(literal 6 binary64) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
#s(literal -6 binary64)
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -4 binary64)
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
#s(literal 6 binary64)
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)

localize102.0ms (1%)

Memory
17.9MiB live, 212.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
accuracy99.8%
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy99.4%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
accuracy99.9%
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
accuracy99.9%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
accuracy100.0%
(-.f64 x #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.7%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
accuracy99.9%
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
Samples
39.0ms228×0valid
6.0ms18×1valid
5.0ms10×2valid
Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 9.0ms (29% of total)
ival-mult: 8.0ms (25.8% of total)
ival-add: 7.0ms (22.6% of total)
adjust: 2.0ms (6.4% of total)
ival-sub: 2.0ms (6.4% of total)
ival-sqrt: 2.0ms (6.4% of total)
exact: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
1.4MiB live, 39.6MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))>
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))>
#<alt (-.f64 x #s(literal 1 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))>
#<alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)>
#<alt (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))>
#<alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)>
Outputs
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (/ -1 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))>
#<alt (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))>
#<alt (- (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (+ (/ 1 (* (pow x 2) (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2)))))>
#<alt (- (+ (* -1 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))) (+ (* -1 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (+ (/ 1 (* x (+ 1 (* 4 (sqrt (/ 1 x)))))) (/ 1 (* x (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))))))>
#<alt (/ -1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (- (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (- (+ (* -1 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 1 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (/ (+ 3/8 (* -3/2 (sqrt x))) x)>
#<alt (/ (+ 3/8 (+ (* -3/2 (sqrt x)) (* -3/32 (sqrt (/ 1 x))))) x)>
#<alt (/ (- (+ 3/8 (+ (* -3/2 (sqrt x)) (* 3/128 (/ 1 x)))) (* 3/32 (sqrt (/ 1 x)))) x)>
#<alt (* 3/2 (sqrt (/ 1 x)))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2)))) x))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x))) x))>
#<alt (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (- (* -3/128 (/ x (pow (sqrt -1) 4))) (* 3/32 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -3/8 (/ x (pow (sqrt -1) 2)))) x))) x))>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (* -4 (sqrt x))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt -6>
#<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 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* 6 (/ x (+ 1 (* 4 (sqrt x))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (* 3/2 (sqrt x))>
#<alt (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x))))>
#<alt (+ (* -3/2 (* (sqrt (/ 1 (pow x 3))) (- (* -1/4 (sqrt x)) (* 1/16 x)))) (+ (* 3/8 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) (pow x 2))) (+ (* 3/2 (sqrt x)) (* 6 (/ (- (* -1/4 (sqrt x)) (* 1/16 x)) x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 6 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -3/2 (* (sqrt (/ 1 x)) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x)))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -6 (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))) (* -1 (/ (+ (* -3/8 (/ (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt x) (- (* 1/4 (sqrt x)) (* -1/16 (/ x (pow (sqrt -1) 2))))))) x))) x)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (- (* -4 (sqrt x)) 1))>
#<alt (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 3))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (- (* x (- (* x (- (* -6 (/ x (pow (- (* -4 (sqrt x)) 1) 4))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 3))))) (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (/ -6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))>
#<alt (* -1 (/ (+ (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x))>
#<alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1)))) x)>
#<alt (/ (- (* -1 (/ (+ (* 6 (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 3))) (* 6 (/ 1 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 4))))) (pow x 2))) (+ (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (/ 6 (* x (pow (- (* -4 (sqrt (/ 1 x))) 1) 2))))) x)>
#<alt (/ 6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) (* 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 (/ (- (* -1 (/ (- (* -1 (/ (- (* 6 (/ 1 (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 4)))) (* 6 (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 3)))) 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 (- (* -4 (sqrt x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (/ -6 (+ 1 (* 4 (sqrt x))))>
#<alt (- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))>
#<alt (/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))>
#<alt (/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
2.0ms
x
@-inf
(/ (* 6 (- x 1)) (+ (* 4 (sqrt x)) 1))
1.0ms
x
@-inf
(* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1))
1.0ms
x
@inf
(* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1))
1.0ms
x
@0
(* (/ -6 (- (+ (* (sqrt x) -4) -1) x)) (+ x -1))

rewrite337.0ms (3.3%)

Memory
-9.2MiB live, 706.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 888×lower-/.f32
4 878×lower-/.f64
4 470×lower-fma.f32
4 466×lower-fma.f64
3 422×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023121
041121
1187121
21564121
08686116
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 418
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
(+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
(*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(+.f64 (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 x (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) x) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -6 binary64) (/.f64 x (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) x (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))) (/.f64 #s(literal 6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
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(*.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x)))))
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 x)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x) #s(literal -1 binary64))))

simplify674.0ms (6.5%)

Memory
2.2MiB live, 442.2MiB allocated
Algorithm
egg-herbie
Rules
9 168×lower-fma.f64
9 168×lower-fma.f32
5 200×lower-*.f64
5 200×lower-*.f32
4 256×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04694496
113524001
242223856
087213482
Stop Event
iter limit
node limit
Counts
192 → 188
Calls
Call 1
Inputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
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(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
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-1
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(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
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(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
Outputs
(/ -6 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(- (* 6 (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(- (* x (+ (* -6 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(fma.f64 #s(literal -6 binary64) (*.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) x) (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(- (* x (+ (* 6 (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (* x (+ (* -6 (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (* 6 (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x))))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt x))))))
(+.f64 (fma.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 (+.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))) (*.f64 x x)))
(/ 6 (+ 1 (* 4 (sqrt (/ 1 x)))))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))
(+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))))))
(+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) x)) (+ (* -6 (/ (+ (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 3)) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 4))) (pow x 3))) (+ (* 6 (/ (+ (/ 1 (+ 1 (* 4 (sqrt (/ 1 x))))) (/ 1 (pow (+ 1 (* 4 (sqrt (/ 1 x)))) 2))) (* (pow x 2) (+ 1 (* 4 (sqrt (/ 1 x))))))) (* 6 (/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))))))
(+.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))) (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))) (*.f64 x (*.f64 x x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* 6 (/ (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) x) (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) x))
(- (* -1 (/ (+ (* -6 (- (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* -1 (/ (+ (* -6 (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) (* 6 (/ (- (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)) (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4))) x))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))))) x)) x)) x))
(/ -1 (+ 1 (* 4 (sqrt x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(- (* x (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)))) (/ 1 (+ 1 (* 4 (sqrt x)))))
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(- (* x (+ (* -1 (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))) (+.f64 (/.f64 x (*.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(- (* x (+ (* x (- (/ (* x (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3)))) (+ 1 (* 4 (sqrt x)))) (+ (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2)) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 3))))) (+ (/ 1 (+ 1 (* 4 (sqrt x)))) (/ 1 (pow (+ 1 (* 4 (sqrt x))) 2))))) (/ 1 (+ 1 (* 4 (sqrt x)))))
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(/ 1 (+ 1 (* 4 (sqrt (/ 1 x)))))
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(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(+ 1 (+ x (* 4 (sqrt x))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) x))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))

eval343.0ms (3.3%)

Memory
4.7MiB live, 668.0MiB allocated
Compiler

Compiled 54 796 to 3 955 computations (92.8% saved)

prune254.0ms (2.5%)

Memory
27.7MiB live, 517.2MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New2 090152 105
Fresh246
Picked055
Done000
Total2 092242 116
Accuracy
100.0%
Counts
2 116 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
1.6%
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
49.1%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
74.5%
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
99.6%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
4.8%
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
52.5%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
49.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x))
46.4%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
4.3%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
52.9%
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
75.1%
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
55.3%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
46.4%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
99.8%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
4.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
4.6%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
4.0%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Compiler

Compiled 532 to 395 computations (25.8% saved)

simplify366.0ms (3.5%)

Memory
-8.9MiB live, 220.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff192
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))
cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
cost-diff0
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
cost-diff128
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
Rules
3 328×lower-fma.f32
3 316×lower-fma.f64
1 920×lower-*.f32
1 914×lower-*.f64
1 190×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027129
047129
177129
2126128
3217128
4303128
5453128
6723128
71131128
82014128
92864127
104157127
115404127
125944127
136241127
146267127
156283127
166653127
176854127
186854127
196854127
206910127
216962127
227018127
237218127
247218127
07218124
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal -1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
x
#s(literal 16 binary64)
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(-.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal -1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))
(sqrt.f64 x)
x
#s(literal -3/2 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -24 binary64) #s(literal 6 binary64)) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
#s(literal 6 binary64)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
x
#s(literal 16 binary64)
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)

localize113.0ms (1.1%)

Memory
8.2MiB live, 125.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
accuracy99.7%
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy99.7%
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
accuracy100.0%
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.8%
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))
accuracy99.7%
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
accuracy99.9%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
accuracy99.7%
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
Samples
46.0ms228×0valid
6.0ms18×1valid
5.0ms10×2valid
Compiler

Compiled 131 to 33 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 11.0ms (27.6% of total)
ival-mult: 11.0ms (27.6% of total)
ival-add: 9.0ms (22.6% of total)
const: 4.0ms (10% of total)
adjust: 2.0ms (5% of total)
ival-sqrt: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)>
#<alt (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)>
#<alt (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))>
#<alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))>
#<alt (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))>
Outputs
#<alt (* -1/6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))>
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))>
#<alt (* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (/ -6 (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))>
#<alt (/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))>
#<alt (+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (- (+ (* -4 (sqrt x)) (* -1 x)) 1)>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) 1))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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 (/ (+ 3/8 (* -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 (* -3/2 (sqrt x)))>
#<alt (+ 3/8 (* -3/2 (sqrt x)))>
#<alt (+ 3/8 (* -3/2 (sqrt x)))>
#<alt (+ 3/8 (* -3/2 (sqrt x)))>
#<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 (/ -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 (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -6 (+ 1 (* -4 (sqrt x))))>
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))>
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x)))))))>
#<alt (+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x)))))))))>
#<alt (* -3/2 (sqrt (/ 1 x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))>
#<alt (+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))>
#<alt (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))>
#<alt (+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))>
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))>
#<alt -6>
#<alt (- (* -96 x) 6)>
#<alt (- (* x (- (* -1536 x) 96)) 6)>
#<alt (- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)>
#<alt (/ 3/8 x)>
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)>
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)>
#<alt (/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)>
#<alt (/ 3/8 x)>
#<alt (/ (+ 3/8 (* 3/128 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))>
#<alt -1>
#<alt (- (* 16 x) 1)>
#<alt (- (* 16 x) 1)>
#<alt (- (* 16 x) 1)>
#<alt (* 16 x)>
#<alt (* x (- 16 (/ 1 x)))>
#<alt (* x (- 16 (/ 1 x)))>
#<alt (* x (- 16 (/ 1 x)))>
#<alt (* 16 x)>
#<alt (* -1 (* x (- (/ 1 x) 16)))>
#<alt (* -1 (* x (- (/ 1 x) 16)))>
#<alt (* -1 (* x (- (/ 1 x) 16)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (* -4 (sqrt x))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
Calls

45 calls:

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

rewrite448.0ms (4.3%)

Memory
-32.4MiB live, 536.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 520×lower-/.f32
4 512×lower-/.f64
4 284×lower-fma.f32
4 272×lower-fma.f64
3 328×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02796
04796
119696
2155893
0898393
Stop Event
iter limit
node limit
iter limit
Counts
15 → 867
Calls
Call 1
Inputs
(*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
(+.f64 x #s(literal -1 binary64))
(-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
(sqrt.f64 x)
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) #s(literal -1/6 binary64) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -4 binary64)) #s(literal -1/6 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x #s(literal 16 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 x #s(literal -16 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 64 binary64) #s(literal -1 binary64))) (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))))))

simplify403.0ms (3.9%)

Memory
28.8MiB live, 504.0MiB allocated
Algorithm
egg-herbie
Rules
9 496×lower-fma.f64
9 496×lower-fma.f32
4 492×lower-+.f64
4 492×lower-+.f32
4 032×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03352472
19502206
228622073
372572051
082281846
Stop Event
iter limit
node limit
Counts
180 → 178
Calls
Call 1
Inputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(* -1/6 (* x (- (* -4 (sqrt (/ 1 x))) 1)))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* x (+ (* -1/6 (- (* -4 (sqrt (/ 1 x))) 1)) (* 1/6 (/ 1 x))))
(* 1/6 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/6 (/ 1 x)))))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* -6 (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (+ (* -6 (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (* x (+ (* -6 (/ (* x (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2)))) (pow (- (* -4 (sqrt x)) 1) 2))) (* -6 (/ (- (/ 1 (- (* -4 (sqrt x)) 1)) (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (- (* -4 (sqrt x)) 1))))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ -6 (- (* -4 (sqrt (/ 1 x))) 1))
(- (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(- (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) x)) (+ (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 2) (- (* -4 (sqrt (/ 1 x))) 1)))) (* -6 (/ (- (/ 1 (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)) (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))) (* (pow x 3) (pow (- (* -4 (sqrt (/ 1 x))) 1) 2)))))) (* 6 (/ 1 (- (* -4 (sqrt (/ 1 x))) 1))))
(/ 6 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(+ (* -6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (* x (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2)))) (* 6 (/ (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (pow (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) 2))) (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) x)) (* 6 (+ (/ 1 (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 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
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(- (* -4 (sqrt x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(- (+ (* -4 (sqrt x)) (* -1 x)) 1)
(* x (- (* -4 (sqrt (/ 1 x))) 1))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* x (- (* -4 (sqrt (/ 1 x))) (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x)))))
(* -1 (* x (+ 1 (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 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)))
(/ (+ 3/8 (* -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 (* -3/2 (sqrt x)))
(+ 3/8 (* -3/2 (sqrt x)))
(+ 3/8 (* -3/2 (sqrt x)))
(+ 3/8 (* -3/2 (sqrt x)))
(* -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)))))
(/ -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)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -6 (+ 1 (* -4 (sqrt x))))
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x)))))))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x)))))))))
(* -3/2 (sqrt (/ 1 x)))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/128 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 3))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))))
(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
-6
(- (* -96 x) 6)
(- (* x (- (* -1536 x) 96)) 6)
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)
(/ 3/8 x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))
-1
(- (* 16 x) 1)
(- (* 16 x) 1)
(- (* 16 x) 1)
(* 16 x)
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* x (- 16 (/ 1 x)))
(* 16 x)
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(* -1 (* x (- (/ 1 x) 16)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(* -4 (sqrt x))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
Outputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
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(* x (+ (* -3/2 (sqrt (/ 1 x))) (* 3/8 (/ 1 x))))
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-6
#s(literal -6 binary64)
(- (* 6 x) 6)
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(- (* 6 x) 6)
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(- (* 6 x) 6)
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(* 6 x)
(*.f64 x #s(literal 6 binary64))
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(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
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(*.f64 (sqrt.f64 x) #s(literal 4 binary64))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
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(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
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(* -6 (+ 1 (* -4 (sqrt x))))
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(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -1536 (* x (+ 1 (* -4 (sqrt x))))) (* -96 (+ 1 (* -4 (sqrt x)))))))
(fma.f64 x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 x #s(literal -1536 binary64) #s(literal -96 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64)))
(+ (* -6 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -96 (+ 1 (* -4 (sqrt x)))) (* x (+ (* -24576 (* x (+ 1 (* -4 (sqrt x))))) (* -1536 (+ 1 (* -4 (sqrt x)))))))))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(+ (* -3/2 (sqrt (/ 1 x))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x)))
(fma.f64 #s(literal 6 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
(+ (* -3/2 (sqrt (/ 1 x))) (+ (* 3/8 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) (pow x 2))) (* 6 (/ (- 1/16 (* 1/64 (sqrt (/ 1 x)))) x))))
(fma.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) x) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 3/8 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)))
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(* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
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(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -3/8 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
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(+ (* -1 (/ (+ (* -6 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1 (/ (+ (* 3/128 (/ (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (- 1/16 (* -1/64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))) x)) (* 3/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal -6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64)) #s(literal -3/8 binary64)) (/.f64 (fma.f64 #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/64 binary64) #s(literal 1/16 binary64)) (/.f64 #s(literal 3/128 binary64) x))) x)) x))
-6
#s(literal -6 binary64)
(- (* -96 x) 6)
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
(- (* x (- (* -1536 x) 96)) 6)
(fma.f64 x (fma.f64 x #s(literal -1536 binary64) #s(literal -96 binary64)) #s(literal -6 binary64))
(- (* x (- (* x (- (* -24576 x) 1536)) 96)) 6)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -24576 binary64) #s(literal -1536 binary64)) #s(literal -96 binary64)) #s(literal -6 binary64))
(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (* 3/128 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (+.f64 (/.f64 #s(literal 3/128 binary64) x) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x)))) x)
(/ (+ 3/8 (+ (/ 3/2048 (pow x 2)) (+ (* 3/128 (/ 1 x)) (* 3/32768 (/ 1 (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 3/128 binary64) x) (+.f64 (/.f64 #s(literal 3/32768 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/2048 binary64) (*.f64 x x))))) x)
(/ 3/8 x)
(/.f64 #s(literal 3/8 binary64) x)
(/ (+ 3/8 (* 3/128 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 3/128 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (* 3/2048 (/ 1 x))) x)) 3/8) x))
(/.f64 (-.f64 #s(literal 3/8 binary64) (/.f64 (+.f64 #s(literal -3/128 binary64) (/.f64 #s(literal -3/2048 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 3/128 (+ (/ 3/32768 (pow x 2)) (* 3/2048 (/ 1 x)))) x)) 3/8) x))
(/.f64 (-.f64 #s(literal -3/8 binary64) (/.f64 (+.f64 #s(literal 3/128 binary64) (+.f64 (/.f64 #s(literal 3/2048 binary64) x) (/.f64 #s(literal 3/32768 binary64) (*.f64 x x)))) x)) (neg.f64 x))
-1
#s(literal -1 binary64)
(- (* 16 x) 1)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(- (* 16 x) 1)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(- (* 16 x) 1)
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(* 16 x)
(*.f64 x #s(literal 16 binary64))
(* x (- 16 (/ 1 x)))
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(* x (- 16 (/ 1 x)))
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(* x (- 16 (/ 1 x)))
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(* 16 x)
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(* -1 (* x (- (/ 1 x) 16)))
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(* -1 (* x (- (/ 1 x) 16)))
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(* -1 (* x (- (/ 1 x) 16)))
(fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(+ 1 (* -4 (sqrt x)))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(* -4 (sqrt x))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
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(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal 1 binary64))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
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eval227.0ms (2.2%)

Memory
9.8MiB live, 272.7MiB allocated
Compiler

Compiled 24 543 to 2 664 computations (89.1% saved)

prune152.0ms (1.5%)

Memory
-24.8MiB live, 341.2MiB allocated
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New1 11961 125
Fresh5914
Picked145
Done055
Total1 125241 149
Accuracy
100.0%
Counts
1 149 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
1.6%
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
49.1%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
99.3%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (neg.f64 x)) #s(literal -1/6 binary64)))
99.6%
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #s(literal -1/6 binary64)))
4.8%
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
52.5%
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
49.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
99.3%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x))
52.9%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
46.4%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
4.3%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
47.7%
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
55.3%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
99.8%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
4.6%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
4.0%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Compiler

Compiled 446 to 344 computations (22.9% saved)

simplify42.0ms (0.4%)

Memory
-5.2MiB live, 73.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(literal 6 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
cost-diff0
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
cost-diff320
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
Rules
808×lower-fma.f32
796×lower-fma.f64
416×lower-*.f32
408×lower-*.f64
180×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027134
048134
185134
2149134
3271134
4458134
5590134
6604134
7639134
8652134
9667134
10691134
11691134
12701134
13713134
14713134
0713130
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
#s(literal -1/6 binary64)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
x
#s(literal -96 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
#s(literal -1/6 binary64)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -4 binary64)
(sqrt.f64 x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/2 binary64)
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
x
#s(literal -96 binary64)
#s(literal -6 binary64)
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(literal -4 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
x
#s(literal 6 binary64)
#s(literal -6 binary64)
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
#s(literal 4 binary64)
(sqrt.f64 x)
#s(literal 1 binary64)

localize122.0ms (1.2%)

Memory
31.5MiB live, 185.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
accuracy99.4%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x #s(literal 6 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy99.3%
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
accuracy100.0%
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
accuracy99.7%
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
accuracy100.0%
(sqrt.f64 x)
accuracy99.6%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
accuracy100.0%
(sqrt.f64 x)
accuracy100.0%
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
accuracy99.9%
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
Samples
53.0ms194×0valid
18.0ms44×1valid
10.0ms18×2valid
Compiler

Compiled 136 to 34 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 28.0ms (46.6% of total)
ival-add: 11.0ms (18.3% of total)
ival-div: 7.0ms (11.7% of total)
const: 7.0ms (11.7% of total)
adjust: 4.0ms (6.7% of total)
ival-sqrt: 3.0ms (5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-10.4MiB live, 27.7MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))>
#<alt (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))>
#<alt (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))>
#<alt (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 6 binary64))>
#<alt (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))>
#<alt (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))>
#<alt (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
Outputs
#<alt (* -1/6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))>
#<alt (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))>
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))>
#<alt (* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))>
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))>
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))>
#<alt (* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))>
#<alt (/ 6 (- (* -4 (sqrt x)) 1))>
#<alt (+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))>
#<alt (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))>
#<alt (+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))>
#<alt (- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))>
#<alt (- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))))>
#<alt (/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))>
#<alt (- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))>
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))>
#<alt (- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (- (* -4 (sqrt x)) 1)>
#<alt (* -4 (sqrt x))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* 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 (* -6 (+ 1 (* -4 (sqrt x))))>
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))>
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))>
#<alt (+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))>
#<alt (* 384 (sqrt (pow x 3)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))>
#<alt (* -384 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))>
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))>
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))>
#<alt (* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))>
#<alt -6>
#<alt (- (* -96 x) 6)>
#<alt (- (* -96 x) 6)>
#<alt (- (* -96 x) 6)>
#<alt (* -96 x)>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (* -96 x)>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (* -1 (* x (+ 96 (* 6 (/ 1 x)))))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (+ 1 (* -4 (sqrt x)))>
#<alt (* -4 (sqrt x))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* 4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 6 (/ x (+ 1 (* 4 (sqrt x)))))>
#<alt (* 3/2 (sqrt x))>
#<alt (- (* 3/2 (sqrt x)) 3/8)>
#<alt (- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)>
#<alt (- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))>
#<alt (* -3/2 (sqrt x))>
#<alt (+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))>
#<alt (+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))>
#<alt (+ (* -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)))>
#<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 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (* 4 (sqrt x))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))>
#<alt (* -4 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))>
#<alt (/ -6 (+ 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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))>
#<alt (- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))>
#<alt (- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))>
#<alt -6>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (- (* 6 x) 6)>
#<alt (* 6 x)>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* x (- 6 (* 6 (/ 1 x))))>
#<alt (* 6 x)>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (* -1 (* x (- (* 6 (/ 1 x)) 6)))>
#<alt (+ 1 (* 4 (sqrt x)))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (+ 1 (+ x (* 4 (sqrt x))))>
#<alt (* x (+ 1 (* 4 (sqrt (/ 1 x)))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (+ (* x -96) -6) (+ (* (sqrt x) -4) 1))
1.0ms
x
@-inf
(/ (+ x -1) (+ (* -1/6 (+ (* -4 (sqrt x)) -1)) (* x 1/6)))
1.0ms
x
@-inf
(/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) 1) x))
1.0ms
x
@inf
(/ (+ x -1) (+ (* -1/6 (+ (* -4 (sqrt x)) -1)) (* x 1/6)))
1.0ms
x
@inf
(/ (+ (* x 6) -6) (+ (+ (* 4 (sqrt x)) 1) x))

rewrite384.0ms (3.7%)

Memory
-14.4MiB live, 508.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 362×lower-/.f32
4 356×lower-/.f64
4 290×lower-fma.f32
4 278×lower-fma.f64
3 498×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027100
048100
1204100
21579100
0865996
Stop Event
iter limit
node limit
iter limit
Counts
16 → 852
Calls
Call 1
Inputs
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
(sqrt.f64 x)
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 x #s(literal 6 binary64))
(fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
Outputs
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x)))))
(+.f64 (fma.f64 x #s(literal 1/6 binary64) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64))) #s(literal 1/6 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 x) #s(literal -1/6 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) x (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal -1/6 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/6 binary64) x)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/6 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) #s(literal 8/27 binary64) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(literal 1/6 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) (*.f64 (sqrt.f64 x) #s(literal 2/3 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal -1/6 binary64))) (*.f64 x #s(literal 1/6 binary64)))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (neg.f64 (-.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)) (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x))) (-.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x #s(literal 16 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (+.f64 x (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 4 binary64))) x))
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 #s(literal -64 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 x #s(literal 16 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify464.0ms (4.5%)

Memory
5.0MiB live, 605.2MiB allocated
Algorithm
egg-herbie
Rules
12 562×lower-fma.f64
12 562×lower-fma.f32
5 050×lower-*.f64
5 050×lower-*.f32
4 028×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03582766
110272450
232222353
084992127
Stop Event
iter limit
node limit
Counts
192 → 190
Calls
Call 1
Inputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(/ 6 (- (* -4 (sqrt x)) 1))
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))
(+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))
(- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))
(- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))))
(/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))
(- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(- (* -4 (sqrt x)) 1)
(* -4 (sqrt x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (+ (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* 3/2 (sqrt 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)))
(* -6 (+ 1 (* -4 (sqrt x))))
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(+ (* -96 (* x (+ 1 (* -4 (sqrt x))))) (* -6 (+ 1 (* -4 (sqrt x)))))
(* 384 (sqrt (pow x 3)))
(* (pow x 2) (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))))
(* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))
(* (pow x 2) (- (+ (* -1 (/ (+ 96 (* -24 (sqrt (/ 1 x)))) x)) (* 384 (sqrt (/ 1 x)))) (/ 6 (pow x 2))))
(* -384 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))
(* (pow x 2) (+ (* -384 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 96 (+ (* 24 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 6 (/ 1 x)))) x))))
-6
(- (* -96 x) 6)
(- (* -96 x) 6)
(- (* -96 x) 6)
(* -96 x)
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(* -96 x)
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(* -1 (* x (+ 96 (* 6 (/ 1 x)))))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(+ 1 (* -4 (sqrt x)))
(* -4 (sqrt x))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(* 4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* -4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 6 (/ x (+ 1 (* 4 (sqrt x)))))
(* 3/2 (sqrt x))
(- (* 3/2 (sqrt x)) 3/8)
(- (+ (* 3/32 (sqrt (/ 1 x))) (* 3/2 (sqrt x))) 3/8)
(- (* 3/2 (sqrt x)) (+ 3/8 (+ (* -3/32 (sqrt (/ 1 x))) (* 3/128 (/ 1 x)))))
(* -3/2 (sqrt x))
(+ (* -3/2 (sqrt x)) (* 3/8 (/ 1 (pow (sqrt -1) 2))))
(+ (* -3/2 (sqrt x)) (* -1 (/ (+ (* -3/8 (/ x (pow (sqrt -1) 2))) (* 3/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))
(+ (* -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)))
(* 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 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (* 4 (sqrt x)))
(* 4 (sqrt x))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* x (+ (* 4 (sqrt (/ 1 x))) (/ 1 x)))
(* -4 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))
(/ -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 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 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 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
-6
(- (* 6 x) 6)
(- (* 6 x) 6)
(- (* 6 x) 6)
(* 6 x)
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* x (- 6 (* 6 (/ 1 x))))
(* 6 x)
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(+ 1 (* 4 (sqrt x)))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(+ 1 (+ x (* 4 (sqrt x))))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
Outputs
(* -1/6 (- (* -4 (sqrt x)) 1))
(fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -4 binary64) (sqrt.f64 x)) #s(literal 1/6 binary64))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(+ (* -1/6 (- (* -4 (sqrt x)) 1)) (* 1/6 x))
(fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* x (+ 1/6 (+ (* 2/3 (sqrt (/ 1 x))) (* 1/6 (/ 1 x)))))
(*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (neg.f64 x))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x)))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x)))))
(* -1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1/6 (* 1/6 (/ 1 x))))))
(neg.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) (/.f64 #s(literal -1/6 binary64) x)))))
(/ 6 (- (* -4 (sqrt x)) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
(+ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -6 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (- (* -4 (sqrt x)) 1))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(+ (* x (- (+ (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* x (- (/ (* x (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (pow (- (* -4 (sqrt x)) 1) 2)) (* -1 (/ (- (* 6 (/ 1 (pow (- (* -4 (sqrt x)) 1) 2))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1)))) (- (* -4 (sqrt x)) 1)))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))) (* 6 (/ 1 (- (* -4 (sqrt x)) 1))))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 6 binary64))) (+.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) #s(literal -6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))))
(/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))
(+ (* -1 (/ (+ (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) x)) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) x))
(- (+ (* 1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))))))
(- (+ (* -1/36 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 3) (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))) (+ (* -1/6 (/ (+ (/ 1 (+ 1/6 (* 2/3 (sqrt (/ 1 x))))) (* 1/6 (/ 1 (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2)))) (* (pow x 2) (+ 1/6 (* 2/3 (sqrt (/ 1 x))))))) (+ (/ 1/6 (* x (pow (+ 1/6 (* 2/3 (sqrt (/ 1 x)))) 2))) (/ 1 (* x (+ 1/6 (* 2/3 (sqrt (/ 1 x)))))))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/216 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (fma.f64 #s(literal 2/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))))))))
(/ -1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))
(/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))
(- (/ 1 (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))) (+ (/ 1/6 (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))))))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6))))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) x))
(- (* -1 (/ (+ (* -1 (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2))))) (* -1 (/ (+ (* 1/36 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* x (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (* 1/6 (/ (- (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)) (* 1/6 (/ 1 (pow (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6) 2)))) (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))) x))) x)) (/ 1 (- (* 2/3 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1/6)))
(+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/216 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal -1/36 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64)))) x)) x) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64) #s(literal -1/6 binary64))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(- (* -4 (sqrt x)) 1)
(fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64))
(* -4 (sqrt x))
(*.f64 #s(literal -4 binary64) (sqrt.f64 x))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -4 binary64) x) #s(literal -1 binary64))
(* x (- (* -4 (sqrt (/ 1 x))) (/ 1 x)))
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(+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))) (fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) 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 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal -6 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)))) (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))))) (*.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)))))
(/ -6 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(- (/ 6 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (+ (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x))))
(- (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2)))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (-.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) x))
(- (* -1 (/ (+ (* -1 (- (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (* -1 (/ (- (+ (* -1 (- (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3))) (* 6 (/ 1 (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 2))))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 3)))) (/ 6 (* x (pow (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1) 4)))) x))) x)) (* 6 (/ 1 (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1))))
(+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal -6 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) (/.f64 #s(literal -6 binary64) (*.f64 x (pow.f64 (fma.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 4 binary64)))))) x)) x))
-6
#s(literal -6 binary64)
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(- (* 6 x) 6)
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* x (- 6 (* 6 (/ 1 x))))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(* -1 (* x (- (* 6 (/ 1 x)) 6)))
(fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64))
(+ 1 (* 4 (sqrt x)))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))
(+ 1 (+ x (* 4 (sqrt x))))
(fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64)))
(* x (+ 1 (* 4 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (+ 1 (+ (* 4 (sqrt (/ 1 x))) (/ 1 x))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 1)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 4 binary64) x) x)
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* 4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ 1 (/ 1 x)))))
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

eval211.0ms (2%)

Memory
29.1MiB live, 330.3MiB allocated
Compiler

Compiled 29 793 to 2 799 computations (90.6% saved)

prune149.0ms (1.4%)

Memory
-17.4MiB live, 348.4MiB allocated
Pruning

24 alts after pruning (14 fresh and 10 done)

PrunedKeptTotal
New1 21971 226
Fresh3710
Picked145
Done369
Total1 226241 250
Accuracy
100.0%
Counts
1 250 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.8%
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
10.9%
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
8.0%
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
1.6%
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
49.1%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
99.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
99.3%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x))
54.8%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
7.0%
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
74.3%
(/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
99.7%
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
4.8%
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
4.6%
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
49.1%
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
52.9%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
46.4%
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
4.3%
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
46.6%
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
47.7%
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
55.3%
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
99.8%
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
4.6%
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
4.0%
(*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))
Compiler

Compiled 722 to 320 computations (55.7% saved)

regimes25.0ms (0.2%)

Memory
16.1MiB live, 52.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(/.f64 #s(literal -6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x) #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 x #s(literal -1 binary64)) (fma.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 4 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x #s(literal 6 binary64) #s(literal 6 binary64))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal -1 binary64))) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 16 binary64))) (fma.f64 #s(literal -4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) x))
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -16 binary64)))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -4 binary64))))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64))) (neg.f64 x)) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (/.f64 (*.f64 #s(literal -6 binary64) x) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -6 binary64)) (*.f64 (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))) (-.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))))
Outputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
Calls

2 calls:

13.0ms
x
9.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Memory
-2.3MiB live, 35.3MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x #s(literal 16 binary64) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
Calls

2 calls:

10.0ms
x
6.0ms
(/.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)

regimes16.0ms (0.2%)

Memory
-4.0MiB live, 33.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 6 binary64)) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal 6 binary64))
Outputs
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
Calls

2 calls:

9.0ms
x
6.0ms
(/.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
99.7%1x
99.7%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)

regimes12.0ms (0.1%)

Memory
28.6MiB live, 28.6MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
96.9%2x
96.9%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes19.0ms (0.2%)

Memory
-13.9MiB live, 25.7MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
Calls

2 calls:

12.0ms
(/.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))))
6.0ms
x
Results
AccuracySegmentsBranch
96.9%2x
96.9%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory
10.1MiB live, 45.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

7.0ms
(/.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))))
6.0ms
x
Results
AccuracySegmentsBranch
49.1%1x
49.1%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory
-7.5MiB live, 27.8MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
x
4.0ms
(/.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
49.1%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
49.1%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes12.0ms (0.1%)

Memory
-11.2MiB live, 27.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -3/2 binary64))
(/.f64 #s(literal 6 binary64) (*.f64 (sqrt.f64 x) #s(literal -4 binary64)))
(*.f64 (fma.f64 x #s(literal -96 binary64) #s(literal -6 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal 6 binary64) (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal 3/8 binary64)) x)
(/.f64 #s(literal -6 binary64) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x))
(/.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -6 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (*.f64 (sqrt.f64 x) #s(literal 4 binary64)))
Outputs
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
Calls

2 calls:

6.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
5.0ms
x
Results
AccuracySegmentsBranch
48.8%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))))
48.8%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
Outputs
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
10.9%1x
10.9%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)

regimes4.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 x) #s(literal -3/2 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))
Outputs
(fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64))
(*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Results
AccuracySegmentsBranch
11.1%2x
11.1%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
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

2 calls:

2.0ms
x
1.0ms
(/.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
7.0%2x
7.0%2(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes14.0ms (0.1%)

Memory
-49.9MiB live, 8.3MiB allocated
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

2 calls:

1.0ms
x
1.0ms
(/.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
4.0%1(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x))))
4.0%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4138825905076011
4.611179391905284
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4138825905076011
4.611179391905284
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.4138825905076011
4.611179391905284
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch14.0ms (0.1%)

Memory
33.6MiB live, 33.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.2427451710667945
191.356750524754
Samples
8.0ms128×0valid
Compiler

Compiled 114 to 95 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (19.3% of total)
ival-div: 1.0ms (19.3% of total)
ival-add: 1.0ms (19.3% of total)
ival-mult: 1.0ms (19.3% of total)
ival-sqrt: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-15.3MiB live, 23.0MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
16×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052189
172189
278189
385189
486189
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.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 x #s(literal -1 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 6 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -4 binary64) #s(literal -1 binary64)) x)))
(/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 x) #s(literal 2/3 binary64) #s(literal 1/6 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 4 binary64)) x)))
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (+.f64 x (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x)))
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (+.f64 x (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x #s(literal 6 binary64) #s(literal -6 binary64)) (fma.f64 #s(literal 4 binary64) (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 24 binary64) #s(literal -6 binary64))
(fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal -3/8 binary64))
(if (<=.f64 (/.f64 (*.f64 #s(literal 6 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(if (<=.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 6 binary64)) (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 4 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) #s(literal -3/8 binary64)) (*.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))

soundness1.6s (15.4%)

Memory
27.9MiB live, 1 097.5MiB allocated
Rules
19 378×lower-fma.f64
19 378×lower-fma.f32
12 562×lower-fma.f64
12 562×lower-fma.f32
9 496×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
01832
16932
252632
0844128
04694496
113524001
242223856
087213482
023121
041121
1187121
21564121
08686116
03352472
19502206
228622073
372572051
082281846
03582766
110272450
232222353
084992127
0131940
1372865
21055829
33184747
08584670
027100
048100
1204100
21579100
0865996
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 485 to 275 computations (43.3% saved)

preprocess183.0ms (1.8%)

Memory
-41.2MiB live, 205.7MiB allocated
Compiler

Compiled 440 to 142 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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