bug333 (missed optimization)

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.3s (61.8%)

Memory
42.8MiB live, 1 616.8MiB allocated; 370ms collecting garbage
Samples
555.0ms3 403×2valid
524.0ms4 718×1valid
5.0ms135×0valid
Precisions
Click to see histograms. Total time spent on operations: 870.0ms
ival-sqrt: 368.0ms (42.3% of total)
adjust: 250.0ms (28.7% of total)
ival-add!: 151.0ms (17.3% of total)
ival-sub!: 101.0ms (11.6% of total)
Bogosity

preprocess53.0ms (2.4%)

Memory
-33.6MiB live, 59.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
14727
28127
319927
479727
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series11.0ms (0.5%)

Memory
20.1MiB live, 20.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921218
Stop Event
iter-limit
Counts
7 → 41
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

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

rewrite47.0ms (2.2%)

Memory
-3.3MiB live, 43.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01225
16725
060425
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
7 → 107
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))

eval13.0ms (0.6%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 457 to 566 computations (61.2% saved)

prune33.0ms (1.5%)

Memory
-57.1MiB live, 8.2MiB allocated; 12ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1376143
Fresh000
Picked101
Done000
Total1386144
Accuracy
100.0%
Counts
144 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.0%
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.5%
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 142 to 136 computations (4.2% saved)

series30.0ms (1.4%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04482871
Stop Event
iter-limit
Counts
28 → 94
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/8 binary64)
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 7/128 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ 1/8 (* 7/128 (pow x 2))) #s(literal 1/8 binary64))
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 7/128 (pow x 2)) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ 1 (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))))
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x)))
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
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#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)))
4.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)))
2.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (pow x 2) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1)))

rewrite93.0ms (4.2%)

Memory
-11.0MiB live, 81.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033195
053177
1287173
02628165
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 681
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))
x
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/8 binary64)
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 7/128 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) x)) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))))))
(fma.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(-.f64 x (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x))
(-.f64 x (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) x)
(+.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))
x
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))

eval109.0ms (5%)

Memory
41.7MiB live, 180.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 8 278 to 3 154 computations (61.9% saved)

prune21.0ms (1%)

Memory
-15.6MiB live, 28.5MiB allocated; 7ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New7852787
Fresh101
Picked325
Done000
Total7894793
Accuracy
100.0%
Counts
793 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.0%
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 42 to 40 computations (4.8% saved)

series12.0ms (0.6%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02331488
Stop Event
iter-limit
Counts
17 → 54
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(*.f64 (*.f64 x x) x)
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) #s(literal 1 binary64))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (* (- (/ 1 x) -1) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 x) -1) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (- (/ 1 x) -1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 x) -1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64)))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x))
2.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x))
1.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x))

rewrite100.0ms (4.6%)

Memory
-0.6MiB live, 93.8MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02298
03592
118380
0180680
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
17 → 266
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal 7/128 binary64)
(*.f64 x x)
x
#s(literal 1/8 binary64)
(*.f64 (*.f64 x x) x)
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal -1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x)) x)
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 x))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x x)
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x)
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) x)
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) x)
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))

eval41.0ms (1.9%)

Memory
-15.7MiB live, 72.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 3 076 to 1 255 computations (59.2% saved)

prune6.0ms (0.3%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3031304
Fresh000
Picked112
Done022
Total3044308
Accuracy
100.0%
Counts
308 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.0%
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 45 to 44 computations (2.2% saved)

series12.0ms (0.5%)

Memory
-26.7MiB live, 18.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126749
Stop Event
iter-limit
Counts
7 → 22
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x)
1.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x)
1.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x)

rewrite165.0ms (7.5%)

Memory
29.8MiB live, 324.2MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
02155
112355
2116255
0854652
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 170
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x)
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x))
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) (*.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x)) (*.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x)) (*.f64 x (*.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))))
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(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)
(+.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))))
(+.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))))))
(+.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(fabs.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x

eval23.0ms (1.1%)

Memory
-37.2MiB live, 53.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 536 to 760 computations (83.2% saved)

prune5.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done033
Total1844188
Accuracy
100.0%
Counts
188 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.4%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.0%
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 122 to 102 computations (16.4% saved)

regimes6.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes4.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.5%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.3%)

Memory
-44.9MiB live, 6.8MiB allocated; 7ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

6.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
99.1%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.1%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations12.0ms (0.5%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 29 to 23 computations (20.7% saved)

preprocess30.0ms (1.4%)

Memory
-22.0MiB live, 69.5MiB allocated; 8ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 119 to 110 computations (7.6% saved)

end0.0ms (0%)

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

Profiling

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