sqrt times

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%50%0%0%50%0%2
50%25%25%0%0%50%0%3
66.7%25%12.5%0%0%62.5%0%4
80%25%6.2%0%0%68.7%0%5
88.9%25%3.1%0%0%71.8%0%6
94.1%25%1.6%0%0%73.4%0%7
97%25%0.8%0%0%74.2%0%8
98.5%25%0.4%0%0%74.6%0%9
99.2%25%0.2%0%0%74.8%0%10
99.6%25%0.1%0%0%74.9%0%11
99.8%25%0%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample749.0ms (42.7%)

Memory
5.0MiB live, 942.9MiB allocated; 209ms collecting garbage
Samples
513.0ms8 250×0valid
0.0ms6×1valid
0.0ms10×0invalid
Precisions
Click to see histograms. Total time spent on operations: 288.0ms
ival-sqrt: 173.0ms (60.1% of total)
ival-mult: 54.0ms (18.8% of total)
ival-sub: 49.0ms (17% of total)
exact: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain92.0ms (5.2%)

Memory
0.4MiB live, 93.2MiB allocated; 20ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
00-0-(sqrt.f64 x)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
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
33.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 7.0ms (50.3% of total)
ival-sub: 3.0ms (21.6% of total)
ival-mult: 3.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess260.0ms (14.8%)

Memory
-24.1MiB live, 158.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
12026
22526
33526
46926
525026
6193626
7507126
067
0107
1137
2167
3257
4557
52147
616787
747417
082827
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series6.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
6 → 32
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

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

rewrite98.0ms (5.6%)

Memory
25.9MiB live, 68.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188753
0193596
01106575
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
38 → 44
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (sqrt -1)))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7))))))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)))) (*.f64 x x))) (*.f64 x x) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- x 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- x 1)) (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- x 1)) (fma.f64 (fma.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- x 1)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (sqrt (- x 1)) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- x 1)) (*.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- x 1) x)
#s(approx (- x 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (sqrt (- x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (- x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (- x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (- x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) x)))
#s(approx (- x 1) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval5.0ms (0.3%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 760 to 210 computations (72.4% saved)

prune62.0ms (3.5%)

Memory
-30.4MiB live, 34.1MiB allocated; 36ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh000
Picked011
Done000
Total44347
Accuracy
100.0%
Counts
47 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶55.3%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶99.3%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
Compiler

Compiled 39 to 30 computations (23.1% saved)

series8.0ms (0.4%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Counts
18 → 87
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)
(+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ -1/16 (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ 1/16 (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* 1/2 x)))) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* x (+ 1/2 (* -1 x)))))) (pow x 2))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ 1/16 (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* 1/2 x)))) (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* x (+ 1/2 (* -1 x)))))) (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ -1/16 (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ -1/16 (pow x 2))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 2))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ 1/16 (pow x 2))))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 2))))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (/ 1/16 x)))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) x)))
#s(approx (/ 1/16 x) #s(hole binary64 (/ 1/16 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (* (- x 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- x 1) x) #s(hole binary64 (* x (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 x))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1)))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (* -1 (+ 1/2 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ 1/8 x)))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 1/8))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (+ 1/8 (* 1/16 (/ 1 x)))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 x))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (* (- x 1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x 1) x) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) (/ (+ (/ 1/16 x) 1/8) x) (+ (/ 1/16 x) 1/8) (/ 1/16 x) 1/16 x 1/8 -1 -1/2 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) 1)
2.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) (/ (+ (/ 1/16 x) 1/8) x) (+ (/ 1/16 x) 1/8) (/ 1/16 x) 1/16 x 1/8 -1 -1/2 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) 1)
2.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) (/ (+ (/ 1/16 x) 1/8) x) (+ (/ 1/16 x) 1/8) (/ 1/16 x) 1/16 x 1/8 -1 -1/2 (sqrt (* (- x 1) x)) (* (- x 1) x) (- x 1) 1)

rewrite71.0ms (4%)

Memory
-14.4MiB live, 116.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02822192
03021987
013781961
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
105 → 159
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)
(+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(/.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
x
#s(literal 1/8 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ -1/16 (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (/ (- (* x (- (* x (- x 1/2)) 1/8)) 1/16) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ 1/16 (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* 1/2 x)))) (pow x 2))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* x (+ 1/2 (* -1 x)))))) (pow x 2))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ 1/16 (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* 1/2 x)))) (pow x 3))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (/ (+ 1/16 (* x (+ 1/8 (* x (+ 1/2 (* -1 x)))))) (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ -1/16 (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 3))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 3))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ -1/16 (pow x 2))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ (- (* -1/8 x) 1/16) (pow x 2))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (/ (- (* x (- (* -1/2 x) 1/8)) 1/16) (pow x 2))))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ 1/16 (pow x 2))))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) (pow x 2))))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (/ 1/16 x)))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (/ (+ 1/16 (* 1/8 x)) x)))
#s(approx (/ 1/16 x) #s(hole binary64 (/ 1/16 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (* (pow x 2) (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 5)))))))))))
#s(approx (* (- x 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- x 1) x) #s(hole binary64 (* x (- x 1))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 x))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* x (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (* 1/2 (/ 1 x)) 1)))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (+ (/ 1/8 (pow x 2)) (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) 1)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (* -1 (+ 1/2 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) #s(hole binary64 (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2)))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ 1/8 x)))
#s(approx (/ (+ (/ 1/16 x) 1/8) x) #s(hole binary64 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 1/8))
#s(approx (+ (/ 1/16 x) 1/8) #s(hole binary64 (+ 1/8 (* 1/16 (/ 1 x)))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 x))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (* (- x 1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (- x 1) x) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (sqrt -1) 2)) (* -1/16 (/ (pow (sqrt -1) 2) x))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (* 1/2 (/ 1 x)) 1)))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))))
#s(approx (neg (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))))
#s(approx (* (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) x) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))))
#s(approx (+ (* (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) -1) -1) #s(hole binary64 (- (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) x)) 1/2) x)) 1)))
#s(approx (/ (+ (* (/ (+ (/ 1/16 x) 1/8) x) -1) -1/2) x) #s(hole binary64 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))))
#s(approx (sqrt (* (- x 1) x)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
#s(approx (sqrt (* (- x 1) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) x)
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) x (neg.f64 x))
(fma.f64 x (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 x))
(+.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) x) (neg.f64 x))
(+.f64 (*.f64 x (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x))) (neg.f64 x))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x))) #s(literal 1/4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1/2 binary64))
(-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64))
(+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))) (neg.f64 x))
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#s(approx (sqrt (* (- x 1) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))

eval29.0ms (1.6%)

Memory
2.5MiB live, 55.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 4 614 to 806 computations (82.5% saved)

prune297.0ms (16.9%)

Memory
21.7MiB live, 350.3MiB allocated; 34ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh000
Picked022
Done011
Total1623165
Accuracy
100.0%
Counts
165 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓55.3%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓99.3%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
Compiler

Compiled 78 to 56 computations (28.2% saved)

regimes3.0ms (0.2%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Accuracy

Total -28.9b remaining (-6871.6%)

Threshold costs -28.9b (-6871.6%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
Calls

2 calls:

1.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
99.3%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify54.0ms (3.1%)

Memory
-19.8MiB live, 31.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01926
12926
23926
35126
47626
526026
6245526
7592326
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))

derivations5.0ms (0.3%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 26 to 19 computations (26.9% saved)

preprocess15.0ms (0.8%)

Memory
-24.3MiB live, 22.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 66 to 50 computations (24.2% saved)

end0.0ms (0%)

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

Profiling

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