
Time bar (total: 2.0s)
| 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)
| 666.0ms | 8 256× | 0 | valid |
| 113.0ms | 2 046× | 0 | invalid |
ival-mult!: 212.0ms (60.3% of total)ival-sqrt: 113.0ms (32.1% of total)ival-add!: 25.0ms (7.1% of total)adjust: 2.0ms (0.6% 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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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 | 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 | @ | 0 | ((* (/ 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 | z | @ | 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 | 106 | 443 |
| 0 | 112 | 435 |
| 1 | 258 | 435 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
Compiled 266 to 126 computations (52.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 6 | 27 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 22 | 6 | 28 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 84.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) | |
| ▶ | 88.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
| ▶ | 86.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
| ▶ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ▶ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 182 to 182 computations (0% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
| 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) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (* 1/2 (/ x y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x)) |
| 6.0ms | x | @ | inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x)) |
| 4.0ms | x | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x)) |
| 3.0ms | z | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x)) |
| 3.0ms | z | @ | 0 | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1044 |
| 0 | 210 | 1030 |
| 1 | 439 | 1030 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
#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) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (* 1/2 (/ x y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 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 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 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)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(approx (* 1/2 (/ x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)) |
#s(approx (* (/ y x) (sqrt z)) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx y y) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ y x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
Compiled 642 to 301 computations (53.1% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 7 | 59 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 55 | 10 | 65 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 84.5% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
| ▶ | 88.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
| 73.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))))) | |
| ▶ | 82.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
| 84.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) | |
| ▶ | 86.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
| ▶ | 37.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 366 to 354 computations (3.3% saved)
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) |
y |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(sqrt.f64 z) |
z |
(/.f64 x y) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
| 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 (+ (sqrt z) (/ x y)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) y (+ (sqrt z) (/ x y)) (sqrt z) z (/ x y) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* (/ 1 x) (sqrt z)) (/ 1 x) (* 1/2 (/ 1 y)) (/ 1 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
| 9.0ms | z | @ | inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) y (+ (sqrt z) (/ x y)) (sqrt z) z (/ x y) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* (/ 1 x) (sqrt z)) (/ 1 x) (* 1/2 (/ 1 y)) (/ 1 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
| 8.0ms | z | @ | 0 | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) y (+ (sqrt z) (/ x y)) (sqrt z) z (/ x y) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* (/ 1 x) (sqrt z)) (/ 1 x) (* 1/2 (/ 1 y)) (/ 1 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
| 5.0ms | z | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) y (+ (sqrt z) (/ x y)) (sqrt z) z (/ x y) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* (/ 1 x) (sqrt z)) (/ 1 x) (* 1/2 (/ 1 y)) (/ 1 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
| 5.0ms | x | @ | -inf | ((* 1/2 (+ x (* y (sqrt z)))) 1/2 (+ x (* y (sqrt z))) (* y (+ (sqrt z) (/ x y))) y (+ (sqrt z) (/ x y)) (sqrt z) z (/ x y) x (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* 1/2 (* (/ y x) (sqrt z))) (* (/ y x) (sqrt z)) (/ y x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* (/ 1 x) (sqrt z)) (/ 1 x) (* 1/2 (/ 1 y)) (/ 1 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 2026 |
| 0 | 312 | 1993 |
| 1 | 652 | 1993 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) |
y |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(sqrt.f64 z) |
z |
(/.f64 x y) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
#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 (+ (sqrt z) (/ x y)) #s(hole binary64 (sqrt z))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (+ (sqrt z) (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#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 x) (sqrt z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (/ (+ x (* y (sqrt z))) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (/ 1 y) #s(hole binary64 (/ 1 y))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) 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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#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 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (/ 1 z) #s(hole binary64 (/ 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 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* z (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* 1/2 (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (sqrt z) (/ x y)) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
(*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))) |
y |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(sqrt.f64 z) |
z |
(/.f64 x y) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(/.f64 y x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
(*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
(fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(+.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (sqrt z) (/ x y)) (sqrt.f64 z)) |
#s(approx (+ (sqrt z) (/ x y)) (+.f64 (sqrt.f64 z) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)) |
#s(approx (* (/ y x) (sqrt z)) (*.f64 (/.f64 y x) (sqrt.f64 z))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
#s(approx (* (/ 1 x) (sqrt z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ (sqrt z) (/ x y)) (*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))) |
#s(approx (+ (sqrt z) (/ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx y y) |
#s(approx (+ (sqrt z) (/ x y)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) y)) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) y)) |
#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx z z) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1 z) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (+ (sqrt z) (/ x y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ (sqrt z) (/ x y)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ (sqrt z) (/ x y)) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* (/ y x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (sqrt (/ 1 z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))))) |
#s(approx (* (/ 1 x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) |
Compiled 1 293 to 563 computations (56.5% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 7 | 98 |
| Fresh | 1 | 1 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 95 | 13 | 108 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 46.0% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) | |
| ▶ | 73.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
| ✓ | 88.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
| 73.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y #s(approx (+ (sqrt z) (/ x y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))))) | |
| ▶ | 39.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
| 44.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) | |
| ▶ | 84.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) |
| ▶ | 75.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
| ▶ | 37.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
| ✓ | 37.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 527 to 502 computations (4.7% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
x |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
z |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y x) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) 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 #s(hole binary64 x)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) x))) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ y x) (sqrt (/ 1 z))))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* 1/2 (/ x y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) 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 x) (sqrt z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ 1/2 z))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ 1 z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) #s(hole binary64 (/ (* x (+ 1 (* (/ y x) (sqrt z)))) z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) 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 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* -1 (* z (- (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* 1/2 (* (/ 1 x) (sqrt z))) (* (/ 1 x) (sqrt z)) (/ 1 x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
| 6.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* 1/2 (* (/ 1 x) (sqrt z))) (* (/ 1 x) (sqrt z)) (/ 1 x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
| 6.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* 1/2 (* (/ 1 x) (sqrt z))) (* (/ 1 x) (sqrt z)) (/ 1 x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
| 5.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* 1/2 (* (/ 1 x) (sqrt z))) (* (/ 1 x) (sqrt z)) (/ 1 x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
| 4.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) 1/2 (* (/ y x) (sqrt (/ 1 z))) (/ y x) y (sqrt (/ 1 z)) (/ 1 z) 1 (* 1/2 (/ 1 z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ 1/2 y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (* 1/2 (* (/ 1 x) (sqrt z))) (* (/ 1 x) (sqrt z)) (/ 1 x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))) (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x) (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (+ (* y (sqrt (/ 1 z))) (/ x z)) (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 310 | 2847 |
| 0 | 352 | 2783 |
| 1 | 723 | 2783 |
| 1× | saturated |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
x |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
z |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y x) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) 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 #s(hole binary64 x)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))) x))) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ y x) (sqrt (/ 1 z))))) |
#s(approx (/ y x) #s(hole binary64 (/ y x))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* 1/2 (sqrt z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* (/ 1 x) (sqrt z)))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* 1/2 (/ x y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#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 (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ (+ (* y (sqrt (/ 1 z))) (/ x z)) 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 x) (sqrt z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 1/2)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ 1/2 z))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ 1 z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt (/ 1 z))) (/ 1 (* y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt (/ 1 z)))) (/ 1 (* y z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) z))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) #s(hole binary64 (/ (* x (+ 1 (* (/ y x) (sqrt z)))) z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (/ (+ 1 (* (/ y x) (sqrt z))) 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 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* z (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) #s(hole binary64 (* -1 (* z (- (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) #s(hole binary64 (+ (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) #s(hole binary64 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))))) |
#s(approx (sqrt (/ 1 z)) #s(hole binary64 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1/2 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x (* y z))) (* 1/2 (* (sqrt (/ 1 z)) (pow (sqrt -1) 2)))))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ 1 x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ x (* y (sqrt z))) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt z)))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) #s(hole binary64 (* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) #s(hole binary64 (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) #s(hole binary64 (+ (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
x |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
z |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/.f64 y x) |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) x) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
(*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))) |
(*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x) |
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))))) |
(*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))))) |
#s(approx x x) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) x)) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))) x)) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)) |
#s(approx (* (/ 1 x) (sqrt z)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* 1/2 (/ x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (/.f64 (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) 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 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 #s(literal 1/2 binary64) z)) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) #s(literal 1 binary64))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx y y) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) y)) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (*.f64 y (fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (*.f64 y z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 z) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y z))))))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z))))) |
#s(approx z z) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) z)) |
#s(approx (sqrt (/ 1 z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (/.f64 (+.f64 x (*.f64 y (sqrt.f64 z))) z)) |
#s(approx (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))) z)) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z))) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
#s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 z)))) |
#s(approx (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
#s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (/ y x) (sqrt (/ 1 z))) (*.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (sqrt (/ 1 z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))) |
#s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))))) |
#s(approx (* (/ 1 x) (sqrt z)) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x) (sqrt.f64 z)))) |
#s(approx (sqrt z) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (/.f64 x z) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 z))) |
#s(approx (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (*.f64 #s(literal -1 binary64) (*.f64 z (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (fma.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))) |
#s(approx (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z)) (fma.f64 (/.f64 (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))) |
Compiled 1 486 to 670 computations (54.9% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 2 | 100 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 100 | 13 | 113 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 46.0% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) | |
| ✓ | 73.6% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
| ✓ | 88.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
| ✓ | 39.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
| 44.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) | |
| 50.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 #s(literal 1/2 binary64) z)))))) | |
| 34.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))) | |
| ✓ | 75.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
| ✓ | 37.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
| ✓ | 37.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
| ✓ | 50.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
| ✓ | 51.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 611 to 457 computations (25.2% 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) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y (+.f64 (sqrt.f64 z) (/.f64 x y))))) |
(*.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 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)))))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z (fma.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 x z))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 y #s(approx (+ (sqrt z) (/ x y)) (*.f64 z (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x (*.f64 y z)))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y z)))))))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 z #s(approx (+ (* y (sqrt (/ 1 z))) (/ x z)) (*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) z))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) z))))))) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
7 calls:
| 10.0ms | y |
| 9.0ms | (*.f64 y (sqrt.f64 z)) |
| 6.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 6.0ms | z |
| 6.0ms | x |
| 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) (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(approx (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) (*.f64 z #s(approx (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))) (/.f64 #s(literal 1/2 binary64) z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 y #s(approx (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) (*.f64 x #s(approx (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))) (/.f64 #s(literal 1/2 binary64) y)))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
#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) (*.f64 y (sqrt.f64 z)))) |
7 calls:
| 4.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | z |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | x |
| 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)
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 | (sqrt.f64 z) |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| 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)
| 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 32 to 25 computations (21.9% saved)
(abs z)
Compiled 144 to 123 computations (14.6% saved)
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