sqrt C (should all be same)

Time bar (total: 1.5s)

start0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
100.0%100.0%0.0%0.0%0.0%0.0%0.0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample624.0ms (41.3%)

Memory
-33.2MiB live, 1 154.1MiB allocated; 296ms collecting garbage
Samples
418.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-mult!: 168.0ms (66.7% of total)
ival-sqrt: 82.0ms (32.5% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess29.0ms (1.9%)

Memory
46.3MiB live, 46.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
13519
211419
325219
4107019
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
Outputs
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series33.0ms (2.2%)

Memory
-43.9MiB live, 17.7MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01645
Stop Event
iter-limit
Counts
5 → 5
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (* x x)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Calls

3 calls:

TimeVariablePoint
24.0ms
x
0
3.0ms
x
inf
1.0ms
x
-inf

rewrite113.0ms (7.4%)

Memory
-10.5MiB live, 179.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
12516
212916
353616
4180416
0402113
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 731
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fabs.f64 (+.f64 x x)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 (fabs.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 (+.f64 x x))) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (fabs.f64 (+.f64 x x)) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (+.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 (+.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (neg.f64 (fabs.f64 (+.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fabs.f64 (+.f64 x x))) (sqrt.f64 (fabs.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (fabs.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x x) x))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 0 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 x x) x))) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 x #s(literal -1 binary64)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) x))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 x))
(hypot.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) x)
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)))
(hypot.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) x))
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(*.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.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 #s(literal -1 binary64) (*.f64 (+.f64 x x) x)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x x (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x x (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 x (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fabs.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 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 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))
x

eval79.0ms (5.2%)

Memory
18.3MiB live, 154.5MiB allocated; 22ms collecting garbage
Compiler

Compiled 8 774 to 1 878 computations (78.6% saved)

prune17.0ms (1.1%)

Memory
-19.1MiB live, 36.3MiB allocated; 6ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7257732
Fresh000
Picked101
Done000
Total7267733
Accuracy
100.0%
Counts
733 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
49.9%
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
50.1%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
Compiler

Compiled 102 to 80 computations (21.6% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(sqrt 2)
2
Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 4 computations (20.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series10.0ms (0.7%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048149
Stop Event
iter-limit
Counts
14 → 15
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx x x)
#s(approx (* (sqrt 2) (fabs x)) (*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* (+ x x) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (+ x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
inf
2.0ms
x
-inf
2.0ms
x
0

rewrite171.0ms (11.3%)

Memory
22.3MiB live, 212.3MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01756
02942
19142
227441
387641
4332941
0490041
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 1 320
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
(sqrt.f64 (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x x))
(sqrt.f64 x)
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 (+.f64 x x)) x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (+.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (sqrt.f64 x) (+.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)))
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(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (+.f64 x x) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 x x))))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x x))))
(fabs.f64 (sqrt.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (neg.f64 (sqrt.f64 x))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval101.0ms (6.7%)

Memory
-27.1MiB live, 207.8MiB allocated; 26ms collecting garbage
Compiler

Compiled 16 138 to 2 716 computations (83.2% saved)

prune18.0ms (1.2%)

Memory
-5.2MiB live, 41.5MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 05651 061
Fresh112
Picked235
Done000
Total1 05991 068
Accuracy
100.0%
Counts
1 068 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.4%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
99.3%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
50.1%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 136 to 103 computations (24.3% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
2
6369051672525773/4503599627370496
-2
(sqrt 2)
Outputs
#s(literal 2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series16.0ms (1.0%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096366
Stop Event
iter-limit
Counts
22 → 32
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(fabs.f64 x)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (+ x x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx x x)
#s(approx (sqrt (/ 2 x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) x))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* x 6369051672525773/4503599627370496) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
#s(approx (* 6369051672525773/4503599627370496 (fabs x)) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x)))
#s(approx (fabs x) (fabs.f64 x))
#s(approx (* (sqrt (* -2 x)) (sqrt (neg x))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (* -2 x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx (sqrt (neg x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (* (sqrt x) (sqrt 2)) (sqrt x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (+ x x)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
#s(approx (sqrt (/ 2 x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (* -2 x)) (sqrt (neg x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (* -2 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
#s(approx (sqrt (neg x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (* (* (sqrt x) (sqrt 2)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* -2 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (neg x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (* (sqrt x) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
inf
4.0ms
x
-inf
3.0ms
x
0

rewrite46.0ms (3.0%)

Memory
7.8MiB live, 53.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02798
04391
110891
234083
0129180
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 209
Calls
Call 1
Inputs
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
(fabs.f64 x)
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(*.f64 (sqrt.f64 x) #s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)) (sqrt.f64 x))
#s(approx (sqrt (+ x x)) (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) x)
(*.f64 x (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
x
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal -2 binary64) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) x x) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -2 binary64) x))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (+.f64 x (*.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 x x) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -2 binary64) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x))) (sqrt.f64 (/.f64 #s(literal -2 binary64) x))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) x)))))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 2 (* x x))) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
#s(literal 6369051672525773/4503599627370496 binary64)
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) x)
(*.f64 x #s(literal 6369051672525773/4503599627370496 binary64))
x
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (-.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (pow.f64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (-.f64 x x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))
(fabs.f64 (sqrt.f64 (-.f64 x x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 1 binary64) (-.f64 x x))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 (-.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 x x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (-.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 x x) (-.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x x)) #s(literal 2 binary64))
(pow.f64 (-.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (-.f64 x x) x)))
(/.f64 (*.f64 (-.f64 x x) x) (-.f64 x x))
(neg.f64 (-.f64 x x))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal -1 binary64) x))
(-.f64 x x)
(sqrt.f64 (*.f64 (-.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 (-.f64 x x))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (-.f64 x x))
(+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 x x)
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x x)))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (-.f64 x x) x) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (-.f64 x x) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x x))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x x) x)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x x))) (sqrt.f64 (sqrt.f64 (-.f64 x x))))
(*.f64 (pow.f64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal -2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (-.f64 x x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 x x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x x))))
(fabs.f64 (sqrt.f64 (-.f64 x x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval22.0ms (1.5%)

Memory
-25.1MiB live, 25.7MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 700 to 668 computations (75.3% saved)

prune5.0ms (0.3%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1900190
Fresh011
Picked055
Done033
Total1909199
Accuracy
100.0%
Counts
199 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.0%
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.4%
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
99.3%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
50.1%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 76 to 57 computations (25.0% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
(* (sqrt (sqrt 2)) (sqrt (sqrt 2)))
(sqrt (sqrt 2))
(sqrt 2)
2
Outputs
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 5355712719992597/4503599627370496 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 15 to 6 computations (60.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series6.0ms (0.4%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
Stop Event
iter-limit
Counts
7 → 4
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
x
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* x (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))
#s(approx x x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
0
1.0ms
x
-inf
1.0ms
x
inf

rewrite88.0ms (5.8%)

Memory
7.8MiB live, 148.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01039
01424
14524
222124
3147923
0403921
Stop Event
iter-limit
node-limit
iter-limit
Counts
7 → 305
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
x
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) x)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
x
(*.f64 (sqrt.f64 #s(literal 4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
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(fabs.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)

eval22.0ms (1.5%)

Memory
0.3MiB live, 49.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 4 433 to 845 computations (80.9% saved)

prune9.0ms (0.6%)

Memory
-30.4MiB live, 15.1MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1971198
Fresh000
Picked101
Done268
Total2007207
Accuracy
100.0%
Counts
207 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.5%
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
0.0%
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
99.3%
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
50.1%
(sqrt.f64 (*.f64 (+.f64 x x) x))
99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Compiler

Compiled 50 to 39 computations (22.0% saved)

regimes46.0ms (3.0%)

Memory
8.9MiB live, 102.1MiB allocated; 6ms collecting garbage
Counts
7 → 1
11 → 1
14 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
Call 2
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
Call 3
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fabs.f64 x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 #s(literal 5355712719992597/4503599627370496 binary64) #s(literal 5355712719992597/4503599627370496 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(sqrt.f64 (*.f64 (+.f64 x x) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (sqrt.f64 (+.f64 x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (+ x x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 x))
(hypot.f64 x x)
#s(approx (sqrt (* 2 (* x x))) (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(hypot.f64 x x)
Calls

12 calls:

4.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
4.0ms
x
4.0ms
x
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
4.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
99.3%1(*.f64 x x)
99.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.3%1x
99.5%1(*.f64 x x)
99.5%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.5%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.5%1x
100.0%1(*.f64 x x)
100.0%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
100.0%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
100.0%1x
Compiler

Compiled 166 to 87 computations (47.6% saved)

derivations37.0ms (2.4%)

Memory
-15.3MiB live, 37.8MiB allocated; 18ms collecting garbage
Stop Event
fuel
Compiler

Compiled 20 to 13 computations (35.0% saved)

preprocess21.0ms (1.4%)

Memory
6.0MiB live, 52.4MiB allocated; 3ms collecting garbage
Symmetry

(abs x)

Compiler

Compiled 72 to 49 computations (31.9% saved)

end0.0ms (0.0%)

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

Profiling

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