sqrt times

Time bar (total: 4.0s)

start0.0ms (0%)

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

analyze2.0ms (0%)

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)

sample961.0ms (24.1%)

Memory
69.0MiB live, 790.0MiB allocated; 878ms collecting garbage
Samples
682.0ms8 250×0valid
0.0ms6×1valid
0.0ms8×0invalid
Precisions
Click to see histograms. Total time spent on operations: 517.0ms
ival-sqrt: 387.0ms (74.9% of total)
ival-sub: 60.0ms (11.6% of total)
ival-mult: 53.0ms (10.3% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain72.0ms (1.8%)

Memory
-32.3MiB live, 117.9MiB allocated; 24ms 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
34.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sqrt: 15.0ms (68% of total)
ival-sub: 3.0ms (13.6% of total)
ival-mult: 3.0ms (13.6% 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)

preprocess13.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11519
21719
067
0107
1137
0137
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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)

simplify4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11318
01318
Stop Event
1×iter limit
1×saturated
1×iter limit
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
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)

localize57.0ms (1.4%)

Memory
-19.6MiB live, 26.3MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
accuracy0.0
(sqrt.f64 x)
accuracy0.5078125
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Samples
52.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 3.0ms (43% of total)
ival-sub: 2.0ms (28.7% of total)
ival-mult: 2.0ms (28.7% 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)

series5.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
4 → 28
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))
(sqrt.f64 x)
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify140.0ms (3.5%)

Memory
41.1MiB live, 127.9MiB allocated; 12ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150457
1495390
22202378
37444375
08362345
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
-1
(- x 1)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(* 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))))))))
(* x (- 1 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))) x) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) x (/.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(sqrt x)
(sqrt.f64 x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(fma.f64 (/.f64 x x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) x) x x)
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* 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))))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 x x) (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x)
(* -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))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) x) x x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -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))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -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)))))))
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

rewrite206.0ms (5.2%)

Memory
-13.9MiB live, 228.6MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
13215
214815
3118915
0961413
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 354
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))
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
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(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(expm1.f64 (log.f64 x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (cosh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) (sinh.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval45.0ms (1.1%)

Memory
12.8MiB live, 102.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 7 786 to 1 459 computations (81.3% saved)

prune8.0ms (0.2%)

Memory
-20.5MiB live, 22.7MiB allocated; 5ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3753378
Fresh000
Picked011
Done000
Total3754379
Accuracy
100.0%
Counts
379 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶47.5%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
▶98.9%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
▶97.2%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify166.0ms (4.2%)

Memory
5.7MiB live, 154.1MiB allocated; 44ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
cost-diff0
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
cost-diff3
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018107
029107
149107
286101
3168101
4256101
5397101
6686101
71358101
82348101
94004101
106769101
08439101
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
x
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
x
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(-.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(fma.f64 x x (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))

localize45.0ms (1.1%)

Memory
12.1MiB live, 57.3MiB allocated; 6ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
accuracy0.16015625
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
accuracy31.169788344113552
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
accuracy31.248724024743503
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
accuracy0.0
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy0.7220738403418967
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
accuracy1.7937483818118705
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Samples
35.0ms256×0valid
Compiler

Compiled 108 to 19 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (32.7% of total)
ival-sqrt: 6.0ms (28% of total)
ival-div: 3.0ms (14% of total)
ival-add: 2.0ms (9.3% of total)
ival-sub: 2.0ms (9.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Counts
10 → 62
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
-1/2
(- x 1/2)
(/ -1/2 x)
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 x))) (* x (+ (sqrt x) (* 1/2 (sqrt (/ 1 x))))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 x))))
(* x (+ 1 (* (pow x 2) (+ 1 (* x (+ 1 (* 2 x)))))))
-1
(- x 1)
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -2 x) 1)) 1))
(* x (- (* x (- (* x (- (* -3 x) 2)) 1)) 1))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* 1/2 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (* 3/2 (/ 1 (pow x 3)))))
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 5 (/ 1 (pow x 3)))))
(* x (- 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 3 (/ 1 (pow x 3))))) x)
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 5/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) (/ 5/8 (pow x 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (* 3/2 (/ 1 x))) x))) x)))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 5 (/ 1 x))) x))) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) x)) 1) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 5/8) x)) 1/2) x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (+ (* (/ -1/2 x) x) x) (* (sqrt (- x 1)) (sqrt x)) (/ -1/2 x) (* (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (sqrt (+ (* x x) (- x 1)))) (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (* (- x 1) (/ x (+ (* x x) (- x 1)))) (- x 1) (/ x (+ (* x x) (- x 1))) (sqrt (+ (* x x) (- x 1))))
1.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (+ (* (/ -1/2 x) x) x) (* (sqrt (- x 1)) (sqrt x)) (/ -1/2 x) (* (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (sqrt (+ (* x x) (- x 1)))) (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (* (- x 1) (/ x (+ (* x x) (- x 1)))) (- x 1) (/ x (+ (* x x) (- x 1))) (sqrt (+ (* x x) (- x 1))))
1.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (+ (* (/ -1/2 x) x) x) (* (sqrt (- x 1)) (sqrt x)) (/ -1/2 x) (* (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (sqrt (+ (* x x) (- x 1)))) (sqrt (* (- x 1) (/ x (+ (* x x) (- x 1))))) (* (- x 1) (/ x (+ (* x x) (- x 1)))) (- x 1) (/ x (+ (* x x) (- x 1))) (sqrt (+ (* x x) (- x 1))))

simplify215.0ms (5.4%)

Memory
-29.7MiB live, 159.3MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0272737
1904656
23410633
08296603
Stop Event
1×iter limit
1×node limit
Counts
62 → 61
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
-1/2
(- x 1/2)
(/ -1/2 x)
(sqrt x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 x))) (* x (+ (sqrt x) (* 1/2 (sqrt (/ 1 x))))))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (* (pow x 2) (+ 1 x))))
(* x (+ 1 (* (pow x 2) (+ 1 (* x (+ 1 (* 2 x)))))))
-1
(- x 1)
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -2 x) 1)) 1))
(* x (- (* x (- (* x (- (* -3 x) 2)) 1)) 1))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(+ (sqrt -1) (* x (+ (* 1/2 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (* 3/2 (/ 1 (pow x 3)))))
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 5 (/ 1 (pow x 3)))))
(* x (- 1 (/ 1 x)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 3 (/ 1 (pow x 3))))) x)
(* x (+ 1 (* 1/2 (/ 1 x))))
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 5/8 (pow x 2))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) (/ 5/8 (pow x 2))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (* 3/2 (/ 1 x))) x))) x)))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 5 (/ 1 x))) x))) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) x)) 1) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/2) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 5/8) x)) 1/2) x)))))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (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)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))) (*.f64 x x))) (*.f64 x x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(-.f64 x #s(literal 1/2 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* 1/2 (sqrt (pow x 5))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1/2 binary64) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* 1/2 (sqrt (/ 1 x))) (* x (+ (sqrt x) (* 1/2 (sqrt (/ 1 x))))))))
(fma.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))
x
(* x (+ 1 (pow x 2)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1 x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1 (* x (+ 1 (* 2 x)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* -2 x) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* x (- (* x (- (* x (- (* -3 x) 2)) 1)) 1))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* 1/2 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 5/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) x (sqrt.f64 #s(literal -1 binary64)))
(+ (sqrt -1) (* x (+ (* x (+ (* -1/4 (/ (* x (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (pow (sqrt -1) 3))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))))) (* 1/2 (/ 1 (sqrt -1))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 (fma.f64 x #s(literal 5/8 binary64) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64)))
(* x (- 1 (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x x)
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) x) x x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (* 3/2 (/ 1 (pow x 3)))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(- 1 (* 2 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ 1 (/ 3 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) #s(literal 1 binary64))
(- (+ 1 (/ 3 (pow x 2))) (+ (* 2 (/ 1 x)) (* 5 (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 5 binary64) x)) x)) x))
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 2 (pow x 2))) (+ (/ 1 x) (* 3 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* x (+ 1 (* 1/2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) x x)
(* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 5/8 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 5/8 binary64) x)) x)) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 5/16 (/ 1 (pow x 3))))) (/ 5/8 (pow x 2))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 5/8 binary64)) x) x)) x x)
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x) x x)
(* -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))))
(fma.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) x) x x)
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(* -1 (* x (- 1 (* 1/2 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (+ (/ 1/16 (pow x 2)) (* 1/8 (/ 1 x)))) x)))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x)) x)) x)
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (* 3/2 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) x)) x)) x))
(+ 1 (* -1 (/ (- 2 (* 3 (/ 1 x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 3 (* 5 (/ 1 x))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 5 binary64) x)) x)) x))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3 (/ 1 x)) 2) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* 5/8 (/ 1 x)) 1/2) x)))))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/8 binary64) x) #s(literal 1/2 binary64)) x) x (neg.f64 x))
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 5/16 (/ 1 x)) 5/8) x)) 1/2) x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) x) #s(literal 5/8 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) x (neg.f64 x))

rewrite157.0ms (3.9%)

Memory
-3.3MiB live, 191.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01896
02993
110093
268773
0930365
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 335
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(*.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)) (/.f64 (-.f64 x #s(literal 1/2 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x #s(literal 1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/512 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/64 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 x x)) (-.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal -1/2 binary64) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) x)) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) x) #s(literal 1/4 binary64)) #s(literal 1/16 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 x (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) x #s(literal 1/4 binary64))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1/2 binary64) x)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x x x) (*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (fma.f64 x x x) (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (sqrt.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (hypot.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))

eval60.0ms (1.5%)

Memory
26.5MiB live, 82.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 13 777 to 1 786 computations (87% saved)

prune11.0ms (0.3%)

Memory
-19.4MiB live, 24.5MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4592461
Fresh000
Picked123
Done011
Total4605465
Accuracy
100.0%
Counts
465 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.5%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
▶98.1%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
▶98.9%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
✓97.2%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify236.0ms (5.9%)

Memory
2.7MiB live, 153.0MiB allocated; 30ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 x)
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
cost-diff3
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
cost-diff0
(-.f64 x #s(literal 1/2 binary64))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
01734
12634
24834
37534
49634
514034
622134
738734
863334
987834
10152834
11561034
12637534
13689334
14729334
15746534
16772734
0822234
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(sqrt.f64 x)
x
#s(literal -1/2 binary64)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal -1/2 binary64)

localize52.0ms (1.3%)

Memory
-9.5MiB live, 76.9MiB allocated; 16ms collecting garbage
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.515625
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
accuracy0.7220738403418967
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
accuracy0.0
(-.f64 x #s(literal 1/2 binary64))
accuracy0.7220738403418967
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Samples
22.0ms256×0valid
Compiler

Compiled 32 to 13 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 4.0ms (27.7% of total)
ival-sqrt: 4.0ms (27.7% of total)
ival-sub: 3.0ms (20.8% of total)
ival-mult: 3.0ms (20.8% 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)

series3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Counts
5 → 18
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 x)
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
-1/2
(- x 1/2)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (+ (* 1/2 (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (+ (* (sqrt x) (sqrt x)) -1/2) (* (sqrt (- x 1)) (sqrt x)) (sqrt x))
0.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (+ (* (sqrt x) (sqrt x)) -1/2) (* (sqrt (- x 1)) (sqrt x)) (sqrt x))
0.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (- x 1/2) (+ (* (sqrt x) (sqrt x)) -1/2) (* (sqrt (- x 1)) (sqrt x)) (sqrt x))

simplify157.0ms (3.9%)

Memory
21.3MiB live, 159.8MiB allocated; 39ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098192
1322174
21396156
35916149
08485143
Stop Event
1×iter limit
1×node limit
Counts
18 → 17
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
-1/2
(- x 1/2)
(sqrt x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (+ (* 1/2 (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))) x) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (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)))))))))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
-1/2
#s(literal -1/2 binary64)
(- x 1/2)
(-.f64 x #s(literal 1/2 binary64))
(sqrt x)
(sqrt.f64 x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal -1/2 binary64)))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 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))))
(-.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal -1/2 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* 1/2 (/ 1 x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite121.0ms (3%)

Memory
-9.6MiB live, 183.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
01728
16928
239928
3382928
0821424
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 136
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (fma.f64 x x #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/512 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (-.f64 x #s(literal -1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1/4 binary64))) (neg.f64 (-.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/8 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 x x #s(literal 1/4 binary64)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (fma.f64 x x #s(literal 1/4 binary64)) (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/64 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (-.f64 x #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1/4 binary64))) (-.f64 x #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 7/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 7/4 binary64))) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 x #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/2 binary64) x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (-.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) x)
(+.f64 x #s(literal -1/2 binary64))
(+.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 x (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/4 binary64))))
(+.f64 #s(literal -1/2 binary64) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 #s(literal -1/2 binary64) x))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval51.0ms (1.3%)

Memory
16.8MiB live, 61.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 177 to 643 computations (84.6% saved)

prune4.0ms (0.1%)

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

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1901191
Fresh000
Picked112
Done033
Total1915196
Accuracy
100.0%
Counts
196 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.5%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
▶99.3%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
✓98.9%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
✓97.2%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 63 to 43 computations (31.7% saved)

simplify4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/8 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
cost-diff0
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
cost-diff0
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01533
12033
22133
32333
42433
52633
62733
72933
02933
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
x
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
x
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
#s(literal -1/2 binary64)

localize50.0ms (1.2%)

Memory
-50.1MiB live, 51.5MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1/8 binary64) x)
accuracy0.0
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
accuracy0.0
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
accuracy0.4437523851989257
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
Samples
38.0ms256×0valid
Compiler

Compiled 27 to 13 computations (51.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (67.2% of total)
ival-sub: 4.0ms (12.8% of total)
ival-sqrt: 3.0ms (9.6% of total)
ival-div: 2.0ms (6.4% 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)

series2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Counts
4 → 21
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
Outputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/2 x)) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (sqrt (- x 1)) (sqrt x)) (- x (- (/ 1/8 x) -1/2)) (- (/ 1/8 x) -1/2) (/ 1/8 x))
0.0ms
x
@-inf
((* (sqrt (- x 1)) (sqrt x)) (- x (- (/ 1/8 x) -1/2)) (- (/ 1/8 x) -1/2) (/ 1/8 x))
0.0ms
x
@inf
((* (sqrt (- x 1)) (sqrt x)) (- x (- (/ 1/8 x) -1/2)) (- (/ 1/8 x) -1/2) (/ 1/8 x))

simplify146.0ms (3.6%)

Memory
30.2MiB live, 119.1MiB allocated; 8ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109233
1336217
21382181
36151178
08528172
Stop Event
1×iter limit
1×node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* (sqrt x) (sqrt -1))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(+ (* (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)))))))))
(/ -1/8 x)
(/ (- (* -1/2 x) 1/8) x)
(/ (- (* x (- x 1/2)) 1/8) x)
(/ 1/8 x)
(/ (+ 1/8 (* 1/2 x)) x)
x
(* x (- 1 (* 1/2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
1/2
(+ 1/2 (* 1/8 (/ 1 x)))
(* -1 (* x (pow (sqrt -1) 2)))
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(* -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))))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
Outputs
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))
(+ (* 1/2 (* (sqrt (pow x 3)) (/ 1 (sqrt -1)))) (* (sqrt x) (sqrt -1)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (sqrt x) (sqrt -1)) (* (pow x 2) (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))))))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 #s(literal -1 binary64))) x) x (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
(+ (* (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)))))))))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
(/ -1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (- (* -1/2 x) 1/8) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64))
(/ (- (* x (- x 1/2)) 1/8) x)
(-.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ (+ 1/8 (* 1/2 x)) x)
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
x
(* x (- 1 (* 1/2 (/ 1 x))))
(-.f64 x #s(literal 1/2 binary64))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 x))) (pow x 2)))) (* 1/2 (/ 1 x))))
(+.f64 x (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (/ 1 x)))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(* -1 (* x (pow (sqrt -1) 2)))
x
(* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2))))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (+ (* -1 (/ (+ (* 1/8 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2))))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))
(* -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))))
(+.f64 x (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1)))
(-.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (+ (/ 1/8 (pow x 2)) (* 1/2 (/ 1 x))) 1)))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) x))

rewrite267.0ms (6.7%)

Memory
10.4MiB live, 203.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
01529
16629
242329
3532129
0842529
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 77
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/8 binary64) x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) (-.f64 (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (/.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)))
(*.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)))) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)))) (fma.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (*.f64 x (/.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (*.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1/8 binary64))) (pow.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 9 binary64)) #s(literal -1/512 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (pow.f64 (/.f64 #s(literal -1/16 binary64) x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x)))
(neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) x)))) (/.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 3 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -1/16 binary64) x))))
(-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/8 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/8 binary64) x)
(neg.f64 (/.f64 #s(literal -1/8 binary64) x))

eval47.0ms (1.2%)

Memory
-31.6MiB live, 14.6MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 714 to 468 computations (87.4% saved)

prune4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New91192
Fresh000
Picked101
Done044
Total92597
Accuracy
100.0%
Counts
97 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓47.5%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
✓98.9%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
99.3%
#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
✓97.2%
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Compiler

Compiled 169 to 78 computations (53.8% saved)

regimes5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) x x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
Calls

2 calls:

3.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms
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)

regimes3.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
Calls

2 calls:

1.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
98.9%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.9%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.0ms
x
Results
AccuracySegmentsBranch
97.2%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.2%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify10.0ms (0.3%)

Memory
9.3MiB live, 9.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01635
12335
23435
34235
44435
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (+.f64 (-.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) x)

derivations626.0ms (15.7%)

Memory
-14.2MiB live, 403.0MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098192
1322174
21396156
35916149
08485143
01230
01529
16629
242329
3532129
0842529
01896
02993
110093
268773
0930365
0150457
1495390
22202378
37444375
08362345
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 35 to 16 computations (54.3% saved)

preprocess34.0ms (0.9%)

Memory
-3.0MiB live, 44.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 84 to 44 computations (47.6% saved)

end0.0ms (0%)

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

Profiling

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