Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, C

Time bar (total: 2.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (72.1%)

Results
1.2s7212×body256valid
225.0ms1044×body256infinite
Bogosity

preprocess37.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
472×fma-def
80×sub-neg
70×fma-neg
70×cancel-sign-sub-inv
64×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022108
160108
210696
326596
455296
572096
675996
776696
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 y z))
(-.f64 (neg.f64 x) (*.f64 y z))
(-.f64 x (*.f64 (neg.f64 y) z))
(-.f64 x (*.f64 y (neg.f64 z)))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
(-.f64 (neg.f64 x) (*.f64 y z))
(neg.f64 (fma.f64 y z x))
(-.f64 x (*.f64 (neg.f64 y) z))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(-.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 y z))
(fma.f64 y z x)
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
Symmetry

(sort y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 z (neg.f64 y) x)
▶100.0%
(-.f64 x (*.f64 y z))
▶100.0%
(fma.f64 z (neg.f64 y) x)
▶100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 32 to 20 computations (37.5% saved)

localize33.0ms (1.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 x (*.f64 y z))
Compiler

Compiled 25 to 8 computations (68% saved)

series5.0ms (0.3%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 x (*.f64 y z))
1.0ms
y
@inf
(-.f64 x (*.f64 y z))
0.0ms
z
@-inf
(-.f64 x (*.f64 y z))
0.0ms
x
@0
(-.f64 x (*.f64 y z))
0.0ms
z
@inf
(-.f64 x (*.f64 y z))

rewrite59.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1672×pow1
1544×add-exp-log
1544×log1p-expm1-u
1544×expm1-log1p-u
1510×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
115213
2210613
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 (-.f64 x (*.f64 y z)) 1)
(*.f64 1 (-.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))

simplify72.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1264×fma-neg
1256×fma-def
714×distribute-lft-neg-in
568×distribute-rgt-neg-in
380×distribute-frac-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01061171
12881121
211481121
351561121
Stop Event
1×node limit
Counts
73 → 45
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(+.f64 (*.f64 y (neg.f64 z)) x)
(*.f64 (-.f64 x (*.f64 y z)) 1)
(*.f64 1 (-.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
Outputs
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
x
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 -1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(+.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 y (neg.f64 z)) x)
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(*.f64 1 (-.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2))
(-.f64 x (*.f64 y z))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 2) (cbrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 z (+.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 z (+.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))
(-.f64 x (*.f64 y z))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 z (+.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))
(-.f64 x (*.f64 y z))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 z (+.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 y (*.f64 z (+.f64 (*.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 y (*.f64 z (fma.f64 y z x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))
(-.f64 x (*.f64 y z))
(pow.f64 (-.f64 x (*.f64 y z)) 1)
(-.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)
(-.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)
(-.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(-.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))
(-.f64 x (*.f64 y z))
(log.f64 (exp.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))
(-.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(exp.f64 (log.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))
(-.f64 x (*.f64 y z))
(fma.f64 1 x (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))
(-.f64 x (*.f64 y z))

eval9.0ms (0.4%)

Compiler

Compiled 578 to 181 computations (68.7% saved)

prune9.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh000
Picked022
Done000
Total43447
Accuracy
100.0%
Counts
47 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
▶47.6%
(*.f64 y (neg.f64 z))
53.8%
x
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
▶47.6%
(*.f64 y (neg.f64 z))
53.8%
x
Compiler

Compiled 54 to 36 computations (33.3% saved)

localize22.0ms (1.1%)

Compiler

Compiled 12 to 6 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
✓47.6%
(*.f64 y (neg.f64 z))
53.8%
x
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
✓47.6%
(*.f64 y (neg.f64 z))
53.8%
x
Compiler

Compiled 54 to 36 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
✓47.6%
(*.f64 y (neg.f64 z))
53.8%
x
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
✓47.6%
(*.f64 y (neg.f64 z))
53.8%
x
Compiler

Compiled 54 to 36 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Accuracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 z (neg.f64 y) x)
✓100.0%
(-.f64 x (*.f64 y z))
✓47.6%
(*.f64 y (neg.f64 z))
53.8%
x
Compiler

Compiled 45 to 27 computations (40% saved)

regimes22.0ms (1.1%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
Outputs
(fma.f64 z (neg.f64 y) x)
Calls

5 calls:

5.0ms
y
5.0ms
(*.f64 y z)
4.0ms
z
4.0ms
x
4.0ms
(-.f64 x (*.f64 y z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 y z))
100.0%1(*.f64 y z)
Compiler

Compiled 44 to 27 computations (38.6% saved)

regimes21.0ms (1%)

Counts
3 → 1
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))
Calls

5 calls:

5.0ms
y
4.0ms
(*.f64 y z)
4.0ms
x
4.0ms
z
3.0ms
(-.f64 x (*.f64 y z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 y z))
100.0%1(*.f64 y z)
Compiler

Compiled 39 to 25 computations (35.9% saved)

regimes42.0ms (2%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 y (neg.f64 z))
Outputs
x
(*.f64 y (neg.f64 z))
x
Calls

3 calls:

16.0ms
y
15.0ms
z
10.0ms
x
Results
AccuracySegmentsBranch
76.1%3x
74.9%5y
77.6%5z
Compiler

Compiled 20 to 14 computations (30% saved)

regimes10.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

4.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
53.8%1y
53.8%1z
53.8%1x
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch25.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
4.9505601476460817e+30
8.914098900111799e+34
12.0ms
-5.240716843231709e-67
-1.5844425905911514e-68
Results
17.0ms204×body256valid
3.0ms36×body256infinite
Compiler

Compiled 209 to 160 computations (23.4% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
10×*-commutative
8×sub-neg
8×+-commutative
6×neg-mul-1
6×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02258
14058
24858
35258
45358
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(if (<=.f64 x -3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) x (if (<=.f64 x 849999999999999982561983954157568) (*.f64 y (neg.f64 z)) x))
x
Outputs
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(-.f64 x (*.f64 z y))
(if (<=.f64 x -3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) x (if (<=.f64 x 849999999999999982561983954157568) (*.f64 y (neg.f64 z)) x))
(if (<=.f64 x -3490733165718107/7588550360256754183279148073529370729071901715047420004889892225542594864082845696) x (if (<=.f64 x 849999999999999982561983954157568) (neg.f64 (*.f64 z y)) x))
x
Compiler

Compiled 37 to 24 computations (35.1% saved)

soundness147.0ms (7.2%)

Rules
1264×fma-neg
1256×fma-def
714×distribute-lft-neg-in
568×distribute-rgt-neg-in
472×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022108
160108
210696
326596
455296
572096
675996
776696
01061171
12881121
211481121
351561121
Stop Event
1×node limit
1×saturated
Compiler

Compiled 47 to 21 computations (55.3% saved)

end0.0ms (0%)

preprocess43.0ms (2.1%)

Remove

(sort y z)

Compiler

Compiled 128 to 64 computations (50% saved)

Profiling

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