Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze37.0ms (1.9%)

Memory
4.4MiB live, 93.2MiB allocated; 16ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 7 to 7 computations (0% saved)

sample584.0ms (30.2%)

Memory
56.7MiB live, 1 045.1MiB allocated; 296ms collecting garbage
Samples
362.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-mult!: 62.0ms (58.4% of total)
ival-div!: 43.0ms (40.5% of total)
adjust: 2.0ms (1.9% of total)
Bogosity

preprocess97.0ms (5%)

Memory
-30.9MiB live, 61.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02253
17253
219753
349353
4117253
5526553
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (*.f64 x y) z)
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series8.0ms (0.4%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
5 → 5
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
Outputs
#s(approx (/ (* x y) z) #s(hole binary64 (/ (* x y) z)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((/ (* x y) z) (* x y) x y z)
1.0ms
x
@-inf
((/ (* x y) z) (* x y) x y z)
1.0ms
x
@inf
((/ (* x y) z) (* x y) x y z)
1.0ms
y
@inf
((/ (* x y) z) (* x y) x y z)
1.0ms
x
@0
((/ (* x y) z) (* x y) x y z)

rewrite67.0ms (3.5%)

Memory
-7.7MiB live, 89.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
01338
12238
25538
315838
051138
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
10 → 72
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (/ (* x y) z) #s(hole binary64 (/ (* x y) z)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (neg.f64 y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x)))
(*.f64 (/.f64 x z) y)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y x) z)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) z)
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 y x) z)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(/.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 y x (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 y x (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 x y (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(fma.f64 x y (*.f64 #s(literal 0 binary64) (*.f64 y x)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y x) #s(literal 0 binary64)))
(+.f64 (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))
x
y
z
#s(approx (/ (* x y) z) (/.f64 (*.f64 y x) z))
#s(approx (* x y) (*.f64 y x))
#s(approx x x)
#s(approx y y)
#s(approx z z)

eval5.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 310 to 148 computations (52.3% saved)

prune3.0ms (0.2%)

Memory
8.4MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh000
Picked011
Done000
Total64569
Accuracy
100.0%
Counts
69 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (*.f64 x y) z)
89.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
92.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
89.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
Compiler

Compiled 31 to 31 computations (0% saved)

series14.0ms (0.7%)

Memory
-19.9MiB live, 24.6MiB allocated; 5ms collecting garbage
Counts
15 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(neg.f64 y)
y
(neg.f64 x)
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
Outputs
#s(approx (* (* (/ 1 z) (neg y)) (neg x)) #s(hole binary64 (/ (* x y) z)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (/ 1 z) (neg y)) #s(hole binary64 (* -1 (/ y z))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx z #s(hole binary64 z))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
y
@0
((* (* (/ 1 z) (neg y)) (neg x)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (neg x) x (* (/ 1 z) (* y x)) (* y x) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z))
2.0ms
y
@-inf
((* (* (/ 1 z) (neg y)) (neg x)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (neg x) x (* (/ 1 z) (* y x)) (* y x) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z))
1.0ms
x
@-inf
((* (* (/ 1 z) (neg y)) (neg x)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (neg x) x (* (/ 1 z) (* y x)) (* y x) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z))
1.0ms
z
@-inf
((* (* (/ 1 z) (neg y)) (neg x)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (neg x) x (* (/ 1 z) (* y x)) (* y x) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z))
1.0ms
y
@inf
((* (* (/ 1 z) (neg y)) (neg x)) (* (/ 1 z) (neg y)) (/ 1 z) 1 z (neg y) y (neg x) x (* (/ 1 z) (* y x)) (* y x) (* (/ x z) y) (/ x z) (* (/ y z) x) (/ y z))

rewrite65.0ms (3.4%)

Memory
13.0MiB live, 102.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040128
053135
194111
2241111
0791111
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
26 → 296
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(neg.f64 y)
y
(neg.f64 x)
x
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 y x)
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
#s(approx (* (* (/ 1 z) (neg y)) (neg x)) #s(hole binary64 (/ (* x y) z)))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx (* (/ 1 z) (neg y)) #s(hole binary64 (* -1 (/ y z))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx z #s(hole binary64 z))
Outputs
(*.f64 (*.f64 (*.f64 y x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y (neg.f64 x)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y x)))
(*.f64 y (/.f64 x z))
(*.f64 (*.f64 x (/.f64 (neg.f64 y) z)) #s(literal -1 binary64))
(*.f64 (*.f64 y (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 (*.f64 y (/.f64 x z)) #s(literal 1 binary64))
(*.f64 (/.f64 x z) y)
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (neg.f64 y) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 x z))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (neg.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 y (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 y x) z)
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 y (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y z))
(*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 y) z)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 y (neg.f64 z))
(/.f64 (neg.f64 y) z)
(neg.f64 (/.f64 y z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
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(fma.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y z)))
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#s(approx (* (* (/ 1 z) (neg y)) (neg x)) (*.f64 y (/.f64 x z)))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (* y x) (*.f64 y x))
#s(approx (/ x z) (/.f64 x z))
#s(approx (* (/ 1 z) (neg y)) (/.f64 (neg.f64 y) z))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
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#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx z z)

eval36.0ms (1.8%)

Memory
15.6MiB live, 63.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 1 427 to 639 computations (55.2% saved)

prune11.0ms (0.6%)

Memory
-28.0MiB live, 18.0MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2812283
Fresh000
Picked134
Done011
Total2826288
Accuracy
100.0%
Counts
288 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (*.f64 x y) z)
92.6%
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y x))
89.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
92.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
89.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
Compiler

Compiled 38 to 38 computations (0% saved)

series172.0ms (8.9%)

Memory
23.0MiB live, 255.0MiB allocated; 38ms collecting garbage
Counts
13 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
x
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y x))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 y x)
Outputs
#s(approx (* (* (/ 1 z) y) x) #s(hole binary64 (/ (* x y) z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (pow z -1/2) 2) (* y x)) #s(hole binary64 (* x (* y (pow (pow z -1/2) 2)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (pow (pow z -1/2) 2)))
#s(approx (pow z -1/2) #s(hole binary64 (pow z -1/2)))
#s(approx (* (pow (pow z -1/2) 2) (* y x)) #s(hole binary64 (* x (* y (pow (pow (/ 1 z) 1/2) 2)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (pow (pow (/ 1 z) 1/2) 2)))
#s(approx (pow z -1/2) #s(hole binary64 (pow (/ 1 z) 1/2)))
Calls

9 calls:

TimeVariablePointExpression
48.0ms
z
@inf
((* (* (/ 1 z) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (* (pow (pow z -1/2) 2) (* y x)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (* y x))
45.0ms
x
@0
((* (* (/ 1 z) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (* (pow (pow z -1/2) 2) (* y x)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (* y x))
22.0ms
y
@0
((* (* (/ 1 z) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (* (pow (pow z -1/2) 2) (* y x)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (* y x))
12.0ms
z
@0
((* (* (/ 1 z) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (* (pow (pow z -1/2) 2) (* y x)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (* y x))
12.0ms
y
@-inf
((* (* (/ 1 z) y) x) (* (/ 1 z) y) (/ 1 z) 1 z y x (* (pow (pow z -1/2) 2) (* y x)) (pow (pow z -1/2) 2) (pow z -1/2) -1/2 2 (* y x))

rewrite164.0ms (8.5%)

Memory
-22.5MiB live, 151.4MiB allocated; 127ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043166
051123
1114123
0375123
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
26 → 169
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
x
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y x))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 y x)
#s(approx (* (* (/ 1 z) y) x) #s(hole binary64 (/ (* x y) z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow (pow z -1/2) 2) (* y x)) #s(hole binary64 (* x (* y (pow (pow z -1/2) 2)))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* (/ 1 z) y) #s(hole binary64 (/ y z)))
#s(approx y #s(hole binary64 y))
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (pow (pow z -1/2) 2)))
#s(approx (pow z -1/2) #s(hole binary64 (pow z -1/2)))
#s(approx (* (pow (pow z -1/2) 2) (* y x)) #s(hole binary64 (* x (* y (pow (pow (/ 1 z) 1/2) 2)))))
#s(approx (pow (pow z -1/2) 2) #s(hole binary64 (pow (pow (/ 1 z) 1/2) 2)))
#s(approx (pow z -1/2) #s(hole binary64 (pow (/ 1 z) 1/2)))
Outputs
(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (/.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(literal 1 binary64)
z
y
x
(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 x y)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 x (/.f64 y z))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (/.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) z)
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (neg.f64 (log.f64 z)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/4 binary64))) (neg.f64 (pow.f64 z #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 z z) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
(*.f64 x y)
(*.f64 y x)
#s(approx (* (* (/ 1 z) y) x) (*.f64 (/.f64 y z) x))
#s(approx x x)
#s(approx (* (* (/ 1 z) y) x) (*.f64 (/.f64 y z) x))
#s(approx (* y x) (*.f64 x y))
#s(approx (* (/ 1 z) y) (/.f64 y z))
#s(approx y y)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx z z)
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (pow z -1/2) (pow.f64 z #s(literal -1/2 binary64)))
#s(approx (* (* (/ 1 z) y) x) (*.f64 (/.f64 y z) x))
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z))
#s(approx (pow z -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))

eval15.0ms (0.8%)

Memory
-22.6MiB live, 20.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 501 to 312 computations (37.7% saved)

prune3.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New94195
Fresh000
Picked112
Done044
Total956101
Accuracy
100.0%
Counts
101 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(/.f64 (*.f64 x y) z)
89.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
92.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
89.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
89.6%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
Compiler

Compiled 40 to 38 computations (5% saved)

series42.0ms (2.2%)

Memory
-11.1MiB live, 35.0MiB allocated; 3ms collecting garbage
Counts
9 → 15
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
y
x
Outputs
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) #s(hole binary64 (/ (* x y) (pow (sqrt z) 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) #s(hole binary64 (/ y (pow (sqrt z) 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) #s(hole binary64 (/ 1 (pow (sqrt z) 2))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) #s(hole binary64 (/ (* x y) (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) #s(hole binary64 (/ y (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) #s(hole binary64 (/ 1 (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z))))))
Calls

9 calls:

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

rewrite82.0ms (4.2%)

Memory
35.5MiB live, 135.6MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048242
056180
1171133
0855133
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
24 → 149
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
#s(literal 1 binary64)
(sqrt.f64 z)
z
y
x
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) #s(hole binary64 (/ (* x y) (pow (sqrt z) 2))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) #s(hole binary64 (/ y (pow (sqrt z) 2))))
#s(approx y #s(hole binary64 y))
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) #s(hole binary64 (/ 1 (pow (sqrt z) 2))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z))))
#s(approx (sqrt z) #s(hole binary64 (sqrt z)))
#s(approx z #s(hole binary64 z))
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) #s(hole binary64 (/ (* x y) (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) #s(hole binary64 (/ y (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) #s(hole binary64 (/ 1 (* (pow z 2) (pow (sqrt (/ 1 z)) 2)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z)))))
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z))))))
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z))))))
Outputs
(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) y)
(*.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 x y)))
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y)))
(*.f64 x (/.f64 y z))
(*.f64 y (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 y (/.f64 x z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(/.f64 (*.f64 (*.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (sqrt.f64 z))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y)) (sqrt.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) z)
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(*.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) y))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y))
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 y #s(literal 1 binary64)) z)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) y) z)
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) (sqrt.f64 z))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 y (neg.f64 z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(*.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 z)))) (exp.f64 (neg.f64 (log.f64 (sqrt.f64 z)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64))
(pow.f64 z #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z)))
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) z)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))))
(neg.f64 (/.f64 #s(literal -1 binary64) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(fabs.f64 (/.f64 #s(literal 1 binary64) z))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal 2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64))
(pow.f64 z #s(literal -1/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z)))
(/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 z))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 z)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 z))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) z))
(fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 z))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64))
(pow.f64 z #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
(sqrt.f64 z)
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
z
y
x
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) (*.f64 (/.f64 y z) x))
#s(approx x x)
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) (/.f64 y z))
#s(approx y y)
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) (/.f64 #s(literal 1 binary64) z))
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)))
#s(approx (sqrt z) (sqrt.f64 z))
#s(approx z z)
#s(approx (* (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) x) (*.f64 (*.f64 y (/.f64 x (*.f64 z z))) z))
#s(approx (* (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) y) (*.f64 (/.f64 y (*.f64 z z)) z))
#s(approx (* (/ 1 (sqrt z)) (/ 1 (sqrt z))) (/.f64 z (*.f64 z z)))
#s(approx (/ 1 (sqrt z)) (/.f64 (sqrt.f64 z) z))
#s(approx (sqrt z) (/.f64 z (sqrt.f64 z)))
#s(approx (/ 1 (sqrt z)) (neg.f64 (/.f64 (sqrt.f64 z) z)))
#s(approx (sqrt z) (/.f64 (neg.f64 z) (sqrt.f64 z)))

eval14.0ms (0.7%)

Memory
-7.0MiB live, 36.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 994 to 500 computations (49.7% saved)

prune7.0ms (0.4%)

Memory
-26.3MiB live, 20.2MiB allocated; 1ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1343137
Fresh000
Picked101
Done055
Total1358143
Accuracy
100.0%
Counts
143 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y)) (sqrt.f64 z))
92.8%
(/.f64 (*.f64 x y) z)
89.8%
(*.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) x)
93.4%
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
89.9%
(*.f64 (/.f64 y z) x)
92.4%
(*.f64 (/.f64 x z) y)
92.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
89.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
Compiler

Compiled 104 to 88 computations (15.4% saved)

regimes24.0ms (1.2%)

Memory
6.1MiB live, 60.7MiB allocated; 4ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z)) x)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 x y)) (sqrt.f64 z))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) y) x)
(*.f64 (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 y x))
Outputs
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
Calls

5 calls:

10.0ms
(*.f64 x y)
3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 x y) z)
Results
AccuracySegmentsBranch
99.7%3(*.f64 x y)
99.8%2(/.f64 (*.f64 x y) z)
97.2%2x
96.6%2y
99.7%2z
Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes5.0ms (0.3%)

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

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
Outputs
(*.f64 (/.f64 x z) y)
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x y) z)
1.0ms
z
1.0ms
(*.f64 x y)
Results
AccuracySegmentsBranch
92.4%1y
92.4%1x
92.4%1(*.f64 x y)
92.4%1z
92.4%1(/.f64 (*.f64 x y) z)
Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.040275112382432e-15
0.00014321039353473578
Compiler

Compiled 8 to 11 computations (-37.5% saved)

derivations10.0ms (0.5%)

Memory
-30.7MiB live, 16.2MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 12 to 12 computations (0% saved)

preprocess469.0ms (24.3%)

Memory
36.3MiB live, 632.1MiB allocated; 253ms collecting garbage
Remove

(negabs z)

Compiler

Compiled 183 to 183 computations (0% saved)

end0.0ms (0%)

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

Profiling

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