
Time bar (total: 3.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 9 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 10 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 12 to 12 computations (0% saved)
| 696.0ms | 8 256× | 0 | valid |
| 233.0ms | 2 046× | 0 | invalid |
ival-mult!: 299.0ms (63.3% of total)ival-sqrt: 95.0ms (20.1% of total)ival-add!: 76.0ms (16.1% of total)adjust: 2.0ms (0.4% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 83 |
| 1 | 162 | 81 |
| 2 | 707 | 81 |
| 3 | 4825 | 80 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(abs z)
Compiled 20 to 20 computations (0% saved)
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 473 |
| 0 | 110 | 438 |
| 1 | 511 | 425 |
| 2 | 4137 | 413 |
| 0 | 8261 | 375 |
| 1 | 26703 | 375 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (neg.f64 y) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 y (*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 y (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (/.f64 x z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y)) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z))) y) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z))) |
(*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) |
(*.f64 y (*.f64 (-.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 y (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x)) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))) |
(fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))) |
(fma.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 x)) |
(-.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z)))) |
(+.f64 (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 z))) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) x) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(fabs.f64 (neg.f64 (sqrt.f64 z))) |
(fabs.f64 (sqrt.f64 z)) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64) x)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (sqrt z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (*.f64 (neg.f64 y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ x (* y (sqrt z))) (-.f64 x (*.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (sqrt z) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
Compiled 727 to 275 computations (62.2% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 7 | 110 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 104 | 7 | 111 |
| Status | Accuracy | Program |
|---|---|---|
| 88.8% | (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))) | |
| ▶ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ▶ | 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| ▶ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 170 to 170 computations (0% saved)
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* z (* 1/2 y)) (sqrt (/ 1 z))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* z (* 1/2 y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (* z (* 1/2 y)) (* 1/2 y) (sqrt (/ 1 z)) (/ 1 z) 1) |
| 2.0ms | y | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (* z (* 1/2 y)) (* 1/2 y) (sqrt (/ 1 z)) (/ 1 z) 1) |
| 2.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (* z (* 1/2 y)) (* 1/2 y) (sqrt (/ 1 z)) (/ 1 z) 1) |
| 2.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (* z (* 1/2 y)) (* 1/2 y) (sqrt (/ 1 z)) (/ 1 z) 1) |
| 2.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (* z (* 1/2 y)) (* 1/2 y) (sqrt (/ 1 z)) (/ 1 z) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 588 |
| 0 | 151 | 541 |
| 1 | 592 | 520 |
| 2 | 4326 | 508 |
| 0 | 8549 | 501 |
| 1 | 27713 | 501 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* z (* 1/2 y)) (sqrt (/ 1 z))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* z (* 1/2 y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 1 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) y) |
(*.f64 (neg.f64 y) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 y (*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 y (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 x z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 y z)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y z))) |
(neg.f64 (*.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 z) (neg.f64 z))) |
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 z)) |
(/.f64 (sqrt.f64 z) z) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 z))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 z) z))) |
(fabs.f64 (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.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 (neg.f64 (neg.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (*.f64 #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))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) z)) |
#s(literal 1 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64) x)) |
#s(approx y y) |
#s(approx (* (* z (* 1/2 y)) (sqrt (/ 1 z))) (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z) #s(literal 1/2 binary64))) |
#s(approx (* z (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) z)) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z x)) |
#s(approx (sqrt z) (*.f64 (/.f64 (sqrt.f64 z) z) z)) |
#s(approx (sqrt (/ 1 z)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (neg.f64 y) z) (/.f64 (sqrt.f64 z) z))) |
#s(approx (+ (* (sqrt z) y) x) (-.f64 x (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z))) |
#s(approx (sqrt z) (*.f64 (neg.f64 z) (/.f64 (sqrt.f64 z) z))) |
Compiled 1 293 to 603 computations (53.4% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 210 | 4 | 214 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 211 | 10 | 221 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.8% | (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 46.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 50.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y)) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ▶ | 45.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))) |
| ▶ | 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))))) |
| ✓ | 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 213 to 213 computations (0% saved)
| Inputs |
|---|
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(/.f64 x y) |
x |
y |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 (sqrt.f64 z) z) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z) |
(*.f64 (/.f64 (sqrt.f64 z) z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))) |
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (* (* z (* 1/2 y)) (pow z -1/2)) #s(hole binary64 (* 1/2 (* y (* z (pow z -1/2)))))) |
#s(approx (* z (* 1/2 y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 (pow (sqrt z) 2)))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (pow z -1/2) #s(hole binary64 (pow z -1/2))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (sqrt (/ 1 (pow (sqrt z) 2))))) |
#s(approx (pow (sqrt z) -2) #s(hole binary64 (/ 1 (pow (sqrt z) 2)))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* 1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (* z (* 1/2 y)) (pow z -1/2)) #s(hole binary64 (* 1/2 (* y (* z (pow (/ 1 z) 1/2)))))) |
#s(approx (pow z -1/2) #s(hole binary64 (pow (/ 1 z) 1/2))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))))))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (/ (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))) z))) |
#s(approx (pow (sqrt z) -2) #s(hole binary64 (/ 1 (* (pow z 2) (pow (sqrt (/ 1 z)) 2))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* -1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (* -1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (* -1 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* -1/2 (* y (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))))))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 101.0ms | y | @ | 0 | ((+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/ x y) x y (* 1/2 y) 1/2 (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ (sqrt z) z) (* 1/2 z)) y) (* (/ (sqrt z) z) (* 1/2 z)) (/ (sqrt z) z) (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ (sqrt z) z) y) z) (* (/ (sqrt z) z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (pow z -1/2)) (* z (* 1/2 y)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (sqrt (pow (sqrt z) -2)) (pow (sqrt z) -2) -2) |
| 91.0ms | y | @ | -inf | ((+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/ x y) x y (* 1/2 y) 1/2 (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ (sqrt z) z) (* 1/2 z)) y) (* (/ (sqrt z) z) (* 1/2 z)) (/ (sqrt z) z) (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ (sqrt z) z) y) z) (* (/ (sqrt z) z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (pow z -1/2)) (* z (* 1/2 y)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (sqrt (pow (sqrt z) -2)) (pow (sqrt z) -2) -2) |
| 24.0ms | z | @ | inf | ((+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/ x y) x y (* 1/2 y) 1/2 (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ (sqrt z) z) (* 1/2 z)) y) (* (/ (sqrt z) z) (* 1/2 z)) (/ (sqrt z) z) (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ (sqrt z) z) y) z) (* (/ (sqrt z) z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (pow z -1/2)) (* z (* 1/2 y)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (sqrt (pow (sqrt z) -2)) (pow (sqrt z) -2) -2) |
| 20.0ms | z | @ | 0 | ((+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/ x y) x y (* 1/2 y) 1/2 (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ (sqrt z) z) (* 1/2 z)) y) (* (/ (sqrt z) z) (* 1/2 z)) (/ (sqrt z) z) (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ (sqrt z) z) y) z) (* (/ (sqrt z) z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (pow z -1/2)) (* z (* 1/2 y)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (sqrt (pow (sqrt z) -2)) (pow (sqrt z) -2) -2) |
| 17.0ms | z | @ | -inf | ((+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/ x y) x y (* 1/2 y) 1/2 (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ (sqrt z) z) (* 1/2 z)) y) (* (/ (sqrt z) z) (* 1/2 z)) (/ (sqrt z) z) (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ (sqrt z) z) y) z) (* (/ (sqrt z) z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (pow z -1/2)) (* z (* 1/2 y)) (pow z -1/2) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (sqrt (pow (sqrt z) -2)) (pow (sqrt z) -2) -2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1057 |
| 0 | 229 | 940 |
| 1 | 863 | 799 |
| 2 | 5640 | 769 |
| 0 | 8192 | 746 |
| 1 | 22004 | 746 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(/.f64 x y) |
x |
y |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y) |
(*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 (sqrt.f64 z) z) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z) |
(*.f64 (/.f64 (sqrt.f64 z) z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) y)) |
(pow.f64 z #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))))) |
(*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))) |
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* 1/2 y) #s(hole binary64 (* 1/2 y))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (* (* z (* 1/2 y)) (pow z -1/2)) #s(hole binary64 (* 1/2 (* y (* z (pow z -1/2)))))) |
#s(approx (* z (* 1/2 y)) #s(hole binary64 (* 1/2 (* y z)))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 (pow (sqrt z) 2)))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (/ (sqrt z) z))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (pow z -1/2) #s(hole binary64 (pow z -1/2))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (sqrt (/ 1 (pow (sqrt z) 2))))) |
#s(approx (pow (sqrt z) -2) #s(hole binary64 (/ 1 (pow (sqrt z) 2)))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* 1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (* z (* 1/2 y)) (pow z -1/2)) #s(hole binary64 (* 1/2 (* y (* z (pow (/ 1 z) 1/2)))))) |
#s(approx (pow z -1/2) #s(hole binary64 (pow (/ 1 z) 1/2))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))))))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (/ (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))) z))) |
#s(approx (pow (sqrt z) -2) #s(hole binary64 (/ 1 (* (pow z 2) (pow (sqrt (/ 1 z)) 2))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) #s(hole binary64 (* -1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (/ (sqrt z) z) #s(hole binary64 (* -1 (sqrt (/ 1 z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (* (/ (sqrt z) z) y) #s(hole binary64 (* -1 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) #s(hole binary64 (* -1/2 (* y (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))))))) |
#s(approx (sqrt (pow (sqrt z) -2)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 (pow (sqrt (/ 1 z)) 2))) z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (neg.f64 y) #s(literal -1/2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) y) |
(*.f64 (neg.f64 y) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
(*.f64 y (*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 y (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (*.f64 z y) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (*.f64 z y) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(fma.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) #s(literal 1/2 binary64)) z (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) (*.f64 z #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) (*.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 z y) (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 z y) (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) z) y) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) z) y) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 z y) #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 z) z) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 z (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 z (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) y) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) y) (*.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) #s(literal 1/2 binary64))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) y) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(+.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) (*.f64 (neg.f64 y) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (neg.f64 y)) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (*.f64 (/.f64 x y) y) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) |
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(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
(fabs.f64 (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z) (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
(*.f64 (/.f64 (sqrt.f64 z) z) (/.f64 (sqrt.f64 z) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(pow.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 z)) z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (sqrt.f64 z) z) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) (/.f64 (neg.f64 (sqrt.f64 z)) z)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z) (neg.f64 z)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 z)) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 z) z) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -2 binary64)) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (sqrt.f64 z) z)) (/.f64 (sqrt.f64 z) z)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) z))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (/.f64 (sqrt.f64 z) z) (sqrt.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 z))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 z (*.f64 z z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(-.f64 (/.f64 (+.f64 z (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (/.f64 (-.f64 z (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 #s(literal -1 binary64) z)) |
(fabs.f64 (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) z) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) z) #s(literal 2 binary64))) |
#s(literal -2 binary64) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) |
#s(approx y y) |
#s(approx (* 1/2 y) (*.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (/ (sqrt z) z) y) (*.f64 (/.f64 (sqrt.f64 z) z) y)) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* z (* 1/2 y)) (*.f64 (*.f64 z y) #s(literal 1/2 binary64))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (* 1/2 z) (*.f64 z #s(literal 1/2 binary64))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (pow (sqrt z) -2) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (/ (sqrt z) z) y) (*.f64 (/.f64 (sqrt.f64 z) z) y)) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (sqrt.f64 z) z)) |
#s(approx (pow (sqrt z) -2) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
#s(approx (* (sqrt z) y) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
#s(approx (sqrt z) (neg.f64 (sqrt.f64 z))) |
#s(approx (* (/ (sqrt z) z) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
#s(approx (+ (* (sqrt z) y) x) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ (sqrt z) z) y) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) z))) |
#s(approx (* (* z (* 1/2 y)) (sqrt (pow (sqrt z) -2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
#s(approx (sqrt (pow (sqrt z) -2)) (/.f64 (neg.f64 (sqrt.f64 z)) z)) |
Compiled 2 343 to 1 082 computations (53.8% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 6 | 340 |
| Fresh | 0 | 0 | 0 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 5 | 5 |
| Total | 339 | 11 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 88.6% | (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z)) y) #s(literal 1/2 binary64))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 90.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) #s(literal 1/2 binary64)) |
| ▶ | 45.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) #s(literal 1/2 binary64)) |
| ▶ | 37.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 2.6% | #s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
| ▶ | 50.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y)) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 45.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 235 to 235 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) |
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z) |
(*.f64 (sqrt.f64 z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* -1/2 (sqrt z)) y) #s(hole binary64 (* -1/2 (* y (sqrt z))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (/ (* y z) (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* -1/2 (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (* 1/2 (/ z (sqrt z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z)))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (* -1/2 (sqrt z)) y) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* -1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (/ 1/2 (sqrt (/ 1 z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (/ y (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* 1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (/ -1/2 (sqrt (/ 1 z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (* -1 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | y | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ (* (sqrt z) y) x) x) x) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (* (* -1/2 (sqrt z)) y) (* -1/2 (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (* (/ 1 (sqrt z)) (* 1/2 z)) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (sqrt z) (/ y z)) z) (* (sqrt z) (/ y z)) (/ y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ 1 (sqrt z)) y) z) (* (/ 1 (sqrt z)) y)) |
| 5.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ (* (sqrt z) y) x) x) x) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (* (* -1/2 (sqrt z)) y) (* -1/2 (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (* (/ 1 (sqrt z)) (* 1/2 z)) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (sqrt z) (/ y z)) z) (* (sqrt z) (/ y z)) (/ y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ 1 (sqrt z)) y) z) (* (/ 1 (sqrt z)) y)) |
| 4.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ (* (sqrt z) y) x) x) x) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (* (* -1/2 (sqrt z)) y) (* -1/2 (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (* (/ 1 (sqrt z)) (* 1/2 z)) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (sqrt z) (/ y z)) z) (* (sqrt z) (/ y z)) (/ y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ 1 (sqrt z)) y) z) (* (/ 1 (sqrt z)) y)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ (* (sqrt z) y) x) x) x) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (* (* -1/2 (sqrt z)) y) (* -1/2 (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (* (/ 1 (sqrt z)) (* 1/2 z)) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (sqrt z) (/ y z)) z) (* (sqrt z) (/ y z)) (/ y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ 1 (sqrt z)) y) z) (* (/ 1 (sqrt z)) y)) |
| 3.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (/ (* (sqrt z) y) x) x) x) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (* (* -1/2 (sqrt z)) y) (* -1/2 (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (* (/ 1 (sqrt z)) (* 1/2 z)) (/ 1 (sqrt z)) 1 (* 1/2 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (sqrt z) (/ y z)) z) (* (sqrt z) (/ y z)) (/ y z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (* (/ 1 (sqrt z)) y) z) (* (/ 1 (sqrt z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 189 | 1055 |
| 0 | 223 | 899 |
| 1 | 833 | 875 |
| 2 | 5438 | 808 |
| 0 | 8861 | 771 |
| 1 | 20024 | 771 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) |
(*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z) |
(*.f64 (sqrt.f64 z) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (/ (* y (sqrt z)) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (/ (* y (sqrt z)) x)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (/ (* y (sqrt z)) x))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (* y (sqrt z)) x)) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (* y (sqrt z)) x)) 1))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* -1/2 (sqrt z)) y) #s(hole binary64 (* -1/2 (* y (sqrt z))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* 1/2 (/ (* y z) (sqrt z))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (/ (* y (sqrt z)) z))) |
#s(approx (/ y z) #s(hole binary64 (/ y z))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (/ (* y z) (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* -1/2 (sqrt z)))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (* 1/2 (/ z (sqrt z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (sqrt z)))) |
#s(approx (* 1/2 z) #s(hole binary64 (* 1/2 z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (* z (sqrt (/ 1 z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (/ (* y (* z (sqrt (/ 1 z)))) x))) |
#s(approx (sqrt z) #s(hole binary64 (* z (sqrt (/ 1 z))))) |
#s(approx (* (* -1/2 (sqrt z)) y) #s(hole binary64 (* -1/2 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* -1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* 1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (/ 1/2 (sqrt (/ 1 z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ 1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (/ y (sqrt (/ 1 z))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (/ y (* z (sqrt (/ 1 z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* y (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (* z (sqrt (/ 1 z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z)))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (/ (* y (* z (sqrt (/ 1 z)))) x)))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* -1/2 (sqrt z)) #s(hole binary64 (* 1/2 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) #s(hole binary64 (* -1/2 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) #s(hole binary64 (/ -1/2 (sqrt (/ 1 z))))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (/ -1 (* z (sqrt (/ 1 z)))))) |
#s(approx (* (sqrt z) (/ y z)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 z)))))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) #s(hole binary64 (* -1 (/ y (sqrt (/ 1 z)))))) |
#s(approx (* (/ 1 (sqrt z)) y) #s(hole binary64 (* -1 (/ y (* z (sqrt (/ 1 z))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)))) |
(neg.f64 (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) #s(literal -1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) |
(fma.f64 (*.f64 x (sqrt.f64 z)) (/.f64 y x) x) |
(fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) x) (/.f64 #s(literal -1 binary64) x) x) |
(fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) x) x) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (/.f64 x x) x) |
(fma.f64 x (/.f64 (*.f64 y (sqrt.f64 z)) x) x) |
(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) x) x) |
(fma.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) x) x) |
(-.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x) x) |
(-.f64 x (neg.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x))) |
(-.f64 x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) |
(+.f64 (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x) x) |
(+.f64 x (*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x)) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (/.f64 (sqrt.f64 z) x) y) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(*.f64 (*.f64 y z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(*.f64 y (neg.f64 (/.f64 (sqrt.f64 z) x))) |
(*.f64 y (/.f64 (sqrt.f64 z) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (/.f64 y x) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 z) (neg.f64 (/.f64 y x))) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(neg.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (*.f64 z (*.f64 y (sqrt.f64 z))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) z) (/.f64 y z)) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 y z)) |
(*.f64 (/.f64 y z) (*.f64 (sqrt.f64 z) z)) |
(*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (neg.f64 y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 z (*.f64 y (sqrt.f64 z))) z) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal 1 binary64)) (sqrt.f64 z)) |
(/.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (sqrt.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 y (sqrt.f64 z)) z) z) |
(/.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(/.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 y (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 z)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z z) (/.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 (/.f64 #s(literal -1 binary64) z) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (/.f64 z #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(/.f64 z (sqrt.f64 z)) |
(neg.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
(fabs.f64 (sqrt.f64 z)) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 y z)) |
(*.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z)) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64)) z) |
(*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) |
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(/.f64 (*.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
(neg.f64 (*.f64 (/.f64 y (sqrt.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) x x)) |
#s(approx y y) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (/ y z) (/.f64 y z)) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
#s(approx (* 1/2 z) (*.f64 #s(literal 1/2 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 y (sqrt.f64 z) x)) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (* (* (/ 1 (sqrt z)) (* 1/2 z)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 (sqrt z)) (* 1/2 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))) |
#s(approx (/ 1 (sqrt z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
#s(approx (* (* (/ 1 (sqrt z)) y) z) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 (sqrt z)) y) (/.f64 y (sqrt.f64 z))) |
Compiled 2 219 to 1 312 computations (40.9% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 325 | 4 | 329 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 329 | 11 | 340 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 90.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) #s(literal 1/2 binary64)) |
| 46.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) | |
| ✓ | 37.1% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 45.8% | #s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))) | |
| 50.1% | #s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) | |
| ✓ | 2.6% | #s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 2.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 296 to 249 computations (15.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) (*.f64 #s(literal 1/2 binary64) z)) y)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (sqrt.f64 z) (/.f64 y z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) z) y) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x x)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y #s(approx (sqrt z) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (pow.f64 z #s(literal -1/2 binary64)))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 z) z)) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 (pow.f64 (sqrt.f64 z) #s(literal -2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 28.0ms | (sqrt.f64 z) |
| 9.0ms | x |
| 6.0ms | z |
| 6.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) (* 1/2 y)) (* (* (sqrt z) y) 1/2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
7 calls:
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | (sqrt.f64 z) |
| 77.9% | 3 | (*.f64 y (sqrt.f64 z)) |
| 67.8% | 7 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 67.8% | 7 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 79.9% | 5 | x |
| 74.4% | 3 | y |
| 64.3% | 2 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 94.0ms | z |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 51.0% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 51.0% | 1 | (sqrt.f64 z) |
| 51.0% | 1 | z |
| 51.0% | 1 | y |
| 51.0% | 1 | x |
| 51.0% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) x)) |
7 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | z |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.4% | 1 | (sqrt.f64 z) |
| 2.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.4% | 1 | x |
| 2.4% | 1 | y |
| 2.4% | 1 | z |
| 2.4% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1872066125232247e-22 | 2.6407515186059437e-21 |
| 0.0ms | -5.163969466930281e+21 | -34767612496674697000.0 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | fuel |
Compiled 41 to 29 computations (29.3% saved)
(abs z)
Compiled 177 to 153 computations (13.6% saved)
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