Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze18.0ms (1.3%)

Memory
-27.2MiB live, 19.1MiB allocated; 7ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
66.7%50%25%0.1%0%25%0%4
66.7%50%25%0.1%0%25%0%5
80%50%12.5%0.1%0%37.5%0%6
80%50%12.5%0.1%0%37.5%0%7
88.9%50%6.2%0.1%0%43.7%0%8
88.9%50%6.2%0.1%0%43.7%0%9
94.1%50%3.1%0.1%0%46.8%0%10
94.1%50%3.1%0.1%0%46.8%0%11
97%50%1.6%0.1%0%48.4%0%12
Compiler

Compiled 10 to 9 computations (10% saved)

sample711.0ms (51.4%)

Memory
34.4MiB live, 837.6MiB allocated; 112ms collecting garbage
Samples
450.0ms8 254×0valid
17.0ms248×0invalid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-sqrt: 81.0ms (46.4% of total)
ival-mult!: 43.0ms (24.7% of total)
ival-sub!: 30.0ms (17.2% of total)
ival-add!: 18.0ms (10.3% of total)
adjust: 2.0ms (1.1% of total)
Bogosity

explain98.0ms (7%)

Memory
1.3MiB live, 194.7MiB allocated; 11ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
00-0-(sqrt.f64 x)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(*.f64 y (sqrt.f64 x))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sqrt: 6.0ms (47.9% of total)
ival-mult!: 3.0ms (23.9% of total)
ival-sub!: 2.0ms (16% of total)
ival-add!: 1.0ms (8% of total)
adjust: 0.0ms (0% of total)

preprocess78.0ms (5.6%)

Memory
-31.0MiB live, 24.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02154
15554
211254
319651
441550
5118950
6306750
7696950
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.4%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
7 → 22
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms
x
@inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))
1.0ms
y
@inf
((+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 x (* y (sqrt x)) y (sqrt x))

rewrite46.0ms (3.3%)

Memory
28.1MiB live, 75.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080333
084307
0392289
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
29 → 40
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
Outputs
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 (sqrt.f64 x) y))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* y (sqrt x)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))

eval6.0ms (0.4%)

Memory
-35.0MiB live, 12.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 511 to 124 computations (75.7% saved)

prune4.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New29635
Fresh000
Picked101
Done000
Total30636
Accuracy
99.9%
Counts
36 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
69.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
93.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
63.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
41.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
Compiler

Compiled 174 to 134 computations (23% saved)

series14.0ms (1%)

Memory
-15.9MiB live, 31.2MiB allocated; 1ms collecting garbage
Counts
16 → 55
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
Calls

6 calls:

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

rewrite69.0ms (5%)

Memory
-0.6MiB live, 95.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149991
0163913
0631902
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
71 → 105
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x)
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
Outputs
(/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(fma.f64 y (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
y
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(fma.f64 (sqrt.f64 x) y #s(literal 1 binary64))
(fma.f64 y (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) y))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) 1) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (* (/ 1 (sqrt x)) y) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (sqrt x) y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx y y)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (+ (* (sqrt x) y) 1) (*.f64 (+.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (* (sqrt x) y) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y)))

eval10.0ms (0.7%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 055 to 345 computations (83.2% saved)

prune7.0ms (0.5%)

Memory
16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New985103
Fresh011
Picked235
Done000
Total1009109
Accuracy
100.0%
Counts
109 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
93.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
63.9%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
41.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
35.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
30.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
30.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 251 to 181 computations (27.9% saved)

series13.0ms (0.9%)

Memory
-18.7MiB live, 28.6MiB allocated; 1ms collecting garbage
Counts
22 → 72
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
y
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ 1 x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y))
2.0ms
x
@0
((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y))
2.0ms
y
@-inf
((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y))
1.0ms
y
@inf
((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y))
1.0ms
x
@inf
((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/ 1 (sqrt x)) 1 (sqrt x) x y (pow x -1) -1 (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) (+ (* (sqrt x) y) (- 1 x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ (* 1 y) (sqrt x)) 1) x) (- (/ (* 1 y) (sqrt x)) 1) (/ (* 1 y) (sqrt x)) (* 1 y))

rewrite44.0ms (3.2%)

Memory
16.8MiB live, 64.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941483
02161318
08661272
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
94 → 131
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
y
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(*.f64 #s(literal 1 binary64) y)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ (* 1 y) (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (/ 1 x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1))
#s(approx (* 1 y) #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
(*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)
(*.f64 x (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y (pow.f64 x #s(literal -1 binary64)))
(fma.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
y
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal -1 binary64)
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)) (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x)))) (-.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y) (-.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(approx (- 1 x) (neg.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x))))))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 y (sqrt.f64 x) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 x) (neg.f64 x)))
(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(*.f64 y (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (neg x) (neg.f64 x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (/ (* 1 y) (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (/.f64 y (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* 1 y) y)
#s(approx (+ (* (sqrt x) y) (- 1 x)) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (neg.f64 x))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(literal -1 binary64))
#s(approx (* 1 y) y)
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (*.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)) y))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (+.f64 (/.f64 y (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) x) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x))) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (pow x -1)) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (pow x -1)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y)))

eval17.0ms (1.3%)

Memory
-8.3MiB live, 41.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 933 to 469 computations (84% saved)

prune7.0ms (0.5%)

Memory
-32.1MiB live, 15.4MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1192121
Fresh011
Picked235
Done033
Total1219130
Accuracy
100.0%
Counts
130 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
93.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
41.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
35.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x))
35.5%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
30.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
30.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 150 to 106 computations (29.3% saved)

series10.0ms (0.7%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
20 → 68
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -1 binary64)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (pow (sqrt x) -1) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ y (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx y #s(hole binary64 y))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))))
Calls

6 calls:

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

rewrite42.0ms (3.1%)

Memory
10.2MiB live, 57.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01871469
02081268
08311237
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
88 → 128
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x)
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(sqrt.f64 x)
x
#s(literal -1 binary64)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x)
#s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (pow (sqrt x) -1) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (/ y (sqrt x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx y #s(hole binary64 y))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 -1))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (* (- (/ (* 1 y) (sqrt x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (/ (* 1 y) (sqrt x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 1 (* x y)))))))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)
(*.f64 x #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal -1 binary64)
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
(*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)
(*.f64 x #s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)
(*.f64 y (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 y (sqrt.f64 x)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 y (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64)))
(fma.f64 y (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 y (sqrt.f64 x)))
(+.f64 (/.f64 y (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (* (pow (sqrt x) -1) y) (/.f64 y (sqrt.f64 x)))
#s(approx (pow (sqrt x) -1) (pow.f64 x #s(literal -1/2 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (* (pow (sqrt x) -1) y) (/.f64 y (sqrt.f64 x)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (pow (sqrt x) -1) (pow.f64 x #s(literal -1/2 binary64)))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/.f64 y (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) y (pow.f64 x #s(literal -1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx y y)
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (fma.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x (*.f64 (sqrt.f64 x) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) y))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (*.f64 (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x)) y))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)) y))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (/.f64 x y)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) (sqrt.f64 x))) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (neg.f64 (*.f64 (-.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) y)))

eval12.0ms (0.8%)

Memory
-17.1MiB live, 30.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 722 to 429 computations (84.2% saved)

prune7.0ms (0.5%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New97299
Fresh000
Picked123
Done066
Total9810108
Accuracy
100.0%
Counts
108 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
69.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
60.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
93.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
41.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
35.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x))
35.6%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x))
34.2%
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) y)) x))
30.8%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
30.4%
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 455 to 197 computations (56.7% saved)

regimes19.0ms (1.4%)

Memory
-8.8MiB live, 40.9MiB allocated; 3ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (/ (* 1 y) (sqrt x)) 1) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 #s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) y)) x))
Outputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

9.0ms
y
5.0ms
x
4.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
99.9%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
99.9%1x
99.9%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes9.0ms (0.6%)

Memory
-26.3MiB live, 20.7MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
Calls

3 calls:

3.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
98.5%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
98.5%2x
98.0%3y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.5%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
98.0%3y
81.7%3(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
83.7%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
95.3%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.4%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
60.6%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
60.6%1x
60.6%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes5.0ms (0.4%)

Memory
-33.8MiB live, 13.9MiB allocated; 1ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms
y
Results
AccuracySegmentsBranch
59.8%2(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
40.7%4y
59.3%2x
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Results
AccuracySegmentsBranch
30.4%1y
30.4%1x
30.4%1(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch3.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
0.001280310647179646
0.0015124966772649812
Samples
1.0ms32×0valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

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

bsearch28.0ms (2%)

Memory
13.8MiB live, 61.0MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0131518182881462e+66
3.5149650620440583e+80
13.0ms
-9.818816527157543e+51
-7.526056512303169e+40
Samples
14.0ms320×0valid
Compiler

Compiled 531 to 472 computations (11.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 3.0ms (49.4% of total)
ival-mult!: 2.0ms (32.9% of total)
ival-sub!: 1.0ms (16.5% of total)
ival-add!: 1.0ms (16.5% of total)
adjust: 0.0ms (0% of total)

bsearch44.0ms (3.2%)

Memory
-14.1MiB live, 36.5MiB allocated; 46ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
1.0131518182881462e+66
3.5149650620440583e+80
36.0ms
-6.098360528432398e+74
-3.3610139956728902e+72
Samples
8.0ms192×0valid
Compiler

Compiled 436 to 386 computations (11.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sqrt: 2.0ms (55.5% of total)
ival-sub!: 1.0ms (27.7% of total)
ival-mult!: 1.0ms (27.7% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2632743.1922953846
0.9987196893528204
Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations12.0ms (0.9%)

Memory
-29.7MiB live, 19.4MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 195 to 42 computations (78.5% saved)

preprocess31.0ms (2.2%)

Memory
28.7MiB live, 75.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 406 to 98 computations (75.9% saved)

end0.0ms (0%)

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

Profiling

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