sqrt D (should all be same)

Time bar (total: 1.5s)

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%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample719.0ms (47.8%)

Memory
28.3MiB live, 933.4MiB allocated; 98ms collecting garbage
Samples
475.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 254.0ms
ival-pow2: 111.0ms (43.6% of total)
ival-mult!: 88.0ms (34.6% of total)
ival-sqrt: 54.0ms (21.2% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

explain117.0ms (7.8%)

Memory
-31.5MiB live, 116.5MiB allocated; 31ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-2(9.69502381959549e-162)(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))oflow-rescue610
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))overflow61
(pow.f64 x #s(literal 2 binary64))overflow61
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))uflow-rescue570
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))underflow57
(pow.f64 x #s(literal 2 binary64))underflow57
Confusion
Predicted +Predicted -
+1182
-0136
Precision
1.0
Recall
0.9833333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+11802
-00136
Precision?
1.0
Recall?
0.9833333333333333
Freqs
test
numberfreq
0138
1118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow2: 6.0ms (49.3% of total)
ival-sqrt: 4.0ms (32.9% of total)
ival-mult!: 2.0ms (16.4% of total)
adjust: 0.0ms (0% of total)

preprocess240.0ms (16%)

Memory
32.2MiB live, 265.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11819
25519
316719
440819
5130419
6510119
056
086
1136
2346
31066
43586
510966
645306
080833
Stop Event
iter-limit
node-limit
iter-limit
node-limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 6 to 5 computations (16.7% saved)

series4.0ms (0.3%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Counts
5 → 5
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
Outputs
#s(approx (sqrt (* 2 (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* 2 (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* 2 (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) 2 (pow x 2) x)
1.0ms
x
@0
((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) 2 (pow x 2) x)
1.0ms
x
@-inf
((sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) 2 (pow x 2) x)

rewrite54.0ms (3.6%)

Memory
-8.3MiB live, 97.0MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
02160
14254
013849
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
10 → 46
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(approx (sqrt (* 2 (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* 2 (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (* 2 (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
Outputs
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 x)) x)
(hypot.f64 x (neg.f64 x))
(hypot.f64 x (exp.f64 (log.f64 x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x (+.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.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
#s(approx (sqrt (* 2 (pow x 2))) (hypot.f64 x x))
#s(approx (* 2 (pow x 2)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (pow x 2) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (* 2 (pow x 2))) (neg.f64 (hypot.f64 x x)))

eval7.0ms (0.5%)

Memory
-33.3MiB live, 13.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 406 to 112 computations (72.4% saved)

prune2.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348
Accuracy
100.0%
Counts
48 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
56.6%
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series3.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Counts
8 → 8
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
x
(+.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(hypot.f64 x x)
Outputs
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
Calls

3 calls:

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

rewrite111.0ms (7.4%)

Memory
-10.4MiB live, 87.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03097
03591
18262
043762
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
16 → 56
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))
x
(+.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(hypot.f64 x x)
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
Outputs
(*.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 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.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 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 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 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.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 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 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 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.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 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* x (+ x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* x (+ x x)) #s(literal 2 binary64))
#s(approx x x)
#s(approx (* x (+ x x)) #s(literal 2 binary64))
#s(approx (* (sqrt 2) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* x (+ x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* x (+ x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* x (+ x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

eval3.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 204 to 71 computations (65.2% saved)

prune3.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New31233
Fresh000
Picked033
Done000
Total31536
Accuracy
100.0%
Counts
36 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
18.9%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
56.6%
(sqrt.f64 (*.f64 x (+.f64 x x)))
5.6%
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

series7.0ms (0.5%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
14 → 13
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
#s(approx (* x (+ x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ 0 (pow x 4))) #s(hole binary64 (pow x 2)))
#s(approx (+ 0 (pow x 4)) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((sqrt (* x (+ x x))) (* x (+ x x)) 2 (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) x 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)
2.0ms
x
@-inf
((sqrt (* x (+ x x))) (* x (+ x x)) 2 (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) x 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)
2.0ms
x
@0
((sqrt (* x (+ x x))) (* x (+ x x)) 2 (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) x 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)

rewrite48.0ms (3.2%)

Memory
-8.5MiB live, 38.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047209
060177
1142119
0734119
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
27 → 140
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
#s(approx (* x (+ x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* x (+ x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ 0 (pow x 4))) #s(hole binary64 (pow x 2)))
#s(approx (+ 0 (pow x 4)) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (* x (+ x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))
Outputs
(*.f64 (pow.f64 #s(approx (* 2 (pow x 6)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (* 2 (pow x 6)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (* 2 (pow x 6)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 2 (pow x 6)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (* 2 (pow x 6)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 2 (pow x 6)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x)
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 x 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 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(*.f64 x (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))
x
#s(literal 6 binary64)
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (sqrt.f64 (*.f64 x x)) (sqrt.f64 (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 12 binary64))) (sqrt.f64 (pow.f64 x #s(literal 8 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 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))))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (neg.f64 (pow.f64 x #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (neg.f64 (pow.f64 x #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(approx (sqrt (* 2 (pow x 6))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* 2 (pow x 6)) #s(literal 2 binary64))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 6))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* 2 (pow x 6)) #s(literal 2 binary64))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx x x)
#s(approx (sqrt (+ 0 (pow x 4))) (*.f64 x x))
#s(approx (+ 0 (pow x 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ 0 (pow x 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (sqrt (* 2 (pow x 6))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 6))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))

eval9.0ms (0.6%)

Memory
17.6MiB live, 17.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 604 to 355 computations (77.9% saved)

prune41.0ms (2.7%)

Memory
-34.1MiB live, 10.7MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1121113
Fresh000
Picked112
Done033
Total1135118
Accuracy
100.0%
Counts
118 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
20.1%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
56.6%
(sqrt.f64 (*.f64 x (+.f64 x x)))
5.6%
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
Compiler

Compiled 31 to 24 computations (22.6% saved)

series5.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Counts
8 → 8
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 x x)
Outputs
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (sqrt (* 2 (pow x 6))) (* x x)) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) 2 (pow x 6) x 6 (* x x))
2.0ms
x
@-inf
((/ (sqrt (* 2 (pow x 6))) (* x x)) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) 2 (pow x 6) x 6 (* x x))
1.0ms
x
@0
((/ (sqrt (* 2 (pow x 6))) (* x x)) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) 2 (pow x 6) x 6 (* x x))

rewrite50.0ms (3.3%)

Memory
19.6MiB live, 63.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030118
037116
184116
0309116
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
16 → 97
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(*.f64 x x)
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))
Outputs
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) x)) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x)
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 x (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) x (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 x (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))
x
#s(literal 6 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(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))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 6))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (sqrt (* 2 (pow x 6))) (* x x)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 6))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))

eval21.0ms (1.4%)

Memory
-25.7MiB live, 28.1MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 410 to 314 computations (77.7% saved)

prune4.0ms (0.3%)

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

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done044
Total1006106
Accuracy
100.0%
Counts
106 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
36.4%
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x) (*.f64 x x))
20.1%
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 x x))
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
56.6%
(sqrt.f64 (*.f64 x (+.f64 x x)))
5.6%
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
Compiler

Compiled 131 to 66 computations (49.6% saved)

regimes14.0ms (0.9%)

Memory
-16.0MiB live, 29.6MiB allocated; 4ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 x x))
(hypot.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
Outputs
(hypot.f64 x x)
Calls

4 calls:

4.0ms
(pow.f64 x #s(literal 2 binary64))
3.0ms
x
3.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
3.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
100.0%1(pow.f64 x #s(literal 2 binary64))
100.0%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
100.0%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
100.0%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes8.0ms (0.5%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (*.f64 x x))
Outputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(pow.f64 x #s(literal 2 binary64))
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
2.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.4%1(pow.f64 x #s(literal 2 binary64))
99.4%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
99.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
99.4%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes4.0ms (0.3%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
Outputs
(sqrt.f64 #s(approx (* x (+ x x)) #s(literal 2 binary64)))
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
5.6%1(pow.f64 x #s(literal 2 binary64))
5.6%1(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
5.6%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
5.6%1x
Compiler

Compiled 15 to 13 computations (13.3% saved)

derivations9.0ms (0.6%)

Memory
-29.4MiB live, 14.4MiB allocated; 4ms collecting garbage
Stop Event
fuel
Compiler

Compiled 15 to 9 computations (40% saved)

preprocess19.0ms (1.3%)

Memory
6.5MiB live, 52.4MiB allocated; 5ms collecting garbage
Remove

(abs x)

Compiler

Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

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

Profiling

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