
Time bar (total: 2.5s)
| 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)
| 589.0ms | 8 255× | 0 | valid |
| 154.0ms | 2 020× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
ival-mult: 173.0ms (38.5% of total)ival-sqrt: 111.0ms (24.7% of total)ival-div: 94.0ms (20.9% of total)ival-add: 53.0ms (11.8% of total)exact: 12.0ms (2.7% of total)adjust: 3.0ms (0.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 55.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-div: 19.0ms (48.8% of total)ival-mult: 12.0ms (30.8% of total)ival-sqrt: 4.0ms (10.3% of total)ival-add: 2.0ms (5.1% of total)exact: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 84 |
| 1 | 134 | 82 |
| 2 | 441 | 82 |
| 3 | 1784 | 82 |
| 4 | 5791 | 82 |
| 0 | 10 | 8 |
| 0 | 16 | 8 |
| 1 | 31 | 8 |
| 2 | 63 | 8 |
| 3 | 122 | 8 |
| 4 | 235 | 8 |
| 5 | 554 | 8 |
| 6 | 4028 | 8 |
| 0 | 8490 | 7 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Compiled 10 to 10 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 10 to 10 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)) |
#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 (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt 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 | 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 | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 1.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 476 |
| 0 | 115 | 433 |
| 0 | 505 | 401 |
| 1× | iter limit |
| 1× | iter limit |
| 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)) |
#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 (sqrt z)) #s(hole binary64 (* y (sqrt z)))) |
#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 (* y (sqrt z)) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) x) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* y (sqrt z)) (*.f64 (sqrt.f64 z) y)) |
#s(approx y y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x z))) z))) |
#s(approx (* y (sqrt z)) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
Compiled 870 to 181 computations (79.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 50 | 6 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 6 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 89.5% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) | |
| ▶ | 92.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
| ▶ | 51.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ▶ | 80.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
| ▶ | 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 208 to 172 computations (17.3% saved)
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #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) (+ 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 (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 5.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 4.0ms | x | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 3.0ms | x | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
| 3.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* (sqrt z) y) 1/2) (* (sqrt z) y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/ (* (sqrt z) y) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/ 1 (sqrt z)) 1 (/ x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 1990 |
| 0 | 286 | 1809 |
| 0 | 1099 | 1800 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(/.f64 x z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (/ 1 2) (+ x (* 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 (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (* y (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (sqrt (/ 1 z))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (+ (* y (sqrt (/ 1 z))) (/ x z)))) |
#s(approx (/ x z) #s(hole binary64 (/ x z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ x z)))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* x (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ x z))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* (* (sqrt z) y) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* y (+ (* 1/2 (sqrt (/ 1 z))) (* 1/2 (/ x (* y z))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* y (+ (sqrt (/ 1 z)) (/ x (* y z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt (/ 1 z))) (* -1/2 (/ x (* y z)))))))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* 1/2 (+ x (* y (sqrt z)))))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) #s(hole binary64 (* 1/2 (/ (+ x (* y (sqrt z))) z)))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) #s(hole binary64 (/ (+ x (* y (sqrt z))) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #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) (+ 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 (* (* (sqrt z) y) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) #s(hole binary64 (* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y)) (*.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(*.f64 x (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
(*.f64 z (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x z) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x z) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) |
(+.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) (*.f64 (/.f64 x z) (/.f64 x z))) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (-.f64 (*.f64 (/.f64 x z) (/.f64 x z)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z))))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) |
(fma.f64 y (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 x z)) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx x x) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) |
#s(approx (/ x z) (/.f64 x z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 x z) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) x)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 x z)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (/.f64 #s(literal 1/2 binary64) z)) x))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x)) (pow.f64 z #s(literal -1 binary64))) x))) |
#s(approx y y) |
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y)) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (*.f64 (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) z) #s(literal -1 binary64) (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) (*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) z) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ 1 (sqrt z)) y) (/ x z)) (/.f64 (fma.f64 (sqrt.f64 z) y x) z)) |
#s(approx (/ 1 (sqrt z)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (*.f64 (*.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 x z))) z))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (* (* (sqrt z) y) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x z))) z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) z)) z))) |
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (* (* 1/2 (+ (* (/ 1 (sqrt z)) y) (/ x z))) z) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) y (/.f64 x z))) z))) |
Compiled 5 325 to 695 computations (86.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 3 | 215 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 214 | 7 | 221 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 89.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 51.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 80.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
| ▶ | 87.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
| ▶ | 44.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
| ✓ | 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 149 to 117 computations (21.5% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
#s(literal 1 binary64) |
| 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1) |
| 3.0ms | y | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1) |
| 3.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1) |
| 3.0ms | x | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1) |
| 3.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (/ (* (sqrt z) y) x) 1/2) (/ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) z y x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* 1/2 (pow x -1)) (pow x -1) -1 (/ 1/2 y) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ y x) (sqrt z)) 1) x) (+ (* (/ y x) (sqrt z)) 1) (/ y x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 269 | 2340 |
| 0 | 292 | 2135 |
| 0 | 1080 | 2074 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
#s(literal 1 binary64) |
#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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* 1/2 (pow x -1)) #s(hole binary64 (/ 1/2 x))) |
#s(approx (pow x -1) #s(hole binary64 (/ 1 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (sqrt z)))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (+ x (* y (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* (/ y x) (sqrt z)))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (/ (+ x (* y (sqrt z))) x))) |
#s(approx (/ y x) #s(hole binary64 (/ y 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 x)) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* x (+ 1 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (+ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* y (sqrt z)))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* y (+ (sqrt z) (/ x y))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* y (+ (* (/ 1 x) (sqrt z)) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 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 (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* 1/2 (+ x (* y (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* z (+ (* y (sqrt (/ 1 z))) (/ x z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (/ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (sqrt z) y) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (+ (* (sqrt z) y) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) #s(hole binary64 (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(hole binary64 (* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))))) |
| Outputs |
|---|
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x) |
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) x) |
(*.f64 (/.f64 y x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (/.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x) |
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
(*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y) |
(*.f64 y (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) y (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)) |
(fma.f64 y (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)) |
(+.f64 (*.f64 y (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) (*.f64 y (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (sqrt.f64 z) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y x)) (sqrt.f64 z))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
#s(literal 1 binary64) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x)) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (/ (* (sqrt z) y) x) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx x x) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) x)) |
#s(approx (* 1/2 (pow x -1)) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (fma.f64 (sqrt.f64 z) y x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (/.f64 (fma.f64 (sqrt.f64 z) y x) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (sqrt z) y) x) x) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) x) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1/2 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 1 binary64)) x))) |
#s(approx (* (sqrt z) y) (*.f64 (sqrt.f64 z) y)) |
#s(approx y y) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) y)) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) y)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z)) (/.f64 #s(literal 1/2 binary64) y)) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z))) y))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) y))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z))) (pow.f64 y #s(literal -1 binary64))) y))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (sqrt z) (sqrt.f64 z)) |
#s(approx z z) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z)) z)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)) z)) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y x) (pow.f64 z #s(literal -1 binary64))) z)) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) |
#s(approx (* (/ (* (sqrt z) y) x) 1/2) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (/ (* (sqrt z) y) x) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (* (sqrt z) y) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (sqrt z) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 z y))) z))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) #s(literal -1/2 binary64))) |
#s(approx (* (+ (* (sqrt z) y) x) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (/.f64 x z) #s(literal -1/2 binary64))) z))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (+ (* (sqrt z) y) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x z))) z))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 y (neg.f64 (sqrt.f64 z))))) |
#s(approx (* (+ (* (/ y x) (sqrt z)) 1) x) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (neg.f64 (/.f64 x z))) z))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (/.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) x))) |
#s(approx (+ (* (/ y x) (sqrt z)) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (pow.f64 z #s(literal -1 binary64))) z))) |
Compiled 6 287 to 791 computations (87.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 190 | 3 | 193 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 4 | 4 |
| Total | 192 | 8 | 200 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 89.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 51.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 80.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
| ▶ | 41.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
| ▶ | 39.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x)) |
| ▶ | 85.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) |
| ✓ | 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 201 to 153 computations (23.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(literal -1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
(/.f64 #s(literal 1/2 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) |
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 z)) x) |
(neg.f64 (sqrt.f64 z)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (/ (- (* 1/2 x) (* -1/2 (* y (sqrt z)))) x))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (/ (+ (* -1/2 x) (* -1/2 (* y (sqrt z)))) x))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))) x))) |
#s(approx (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ (* -1 y) x)) #s(hole binary64 (* -1/2 (/ y x)))) |
#s(approx (/ (* -1 y) x) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z))))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#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 (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 1/2)) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 -1/2)) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ -1/2 z))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* -1 y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z))))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #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 (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (- 1/2 (* -1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1/2 z) #s(hole binary64 (/ 1/2 z))) |
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 z)) (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* z (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))) |
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt 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 | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x)) |
| 8.0ms | y | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x)) |
| 5.0ms | z | @ | -inf | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x)) |
| 4.0ms | z | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x)) |
| 4.0ms | x | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (* 1/2 (/ (* -1 y) x)) 1/2 (/ (* -1 y) x) (* -1 y) -1 y x (/ 1 (sqrt z)) 1 (sqrt z) z (/ 1/2 z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (* (/ (neg (sqrt z)) x) -1/2) (/ (neg (sqrt z)) x) (neg (sqrt z)) -1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (* (* (/ y x) (sqrt z)) 1/2) (* (/ y x) (sqrt z)) (/ y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 273 | 2639 |
| 0 | 307 | 2446 |
| 0 | 1043 | 2350 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) |
(neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(literal -1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
x |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
(/.f64 #s(literal 1/2 binary64) z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) |
(*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 z)) x) |
(neg.f64 (sqrt.f64 z)) |
#s(literal -1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64)) |
(*.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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 (* y (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (/ (- (* 1/2 x) (* -1/2 (* y (sqrt z)))) x))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (/ (+ (* -1/2 x) (* -1/2 (* y (sqrt z)))) x))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))) x))) |
#s(approx (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) #s(hole binary64 (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))) |
#s(approx (* 1/2 (/ (* -1 y) x)) #s(hole binary64 (* -1/2 (/ y x)))) |
#s(approx (/ (* -1 y) x) #s(hole binary64 (* -1 (/ y x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) x))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y))) x))) |
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* 1/2 (* (/ 1 x) (sqrt z))))) |
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* -1 (* (/ 1 x) (sqrt z))))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* 1/2 (* (/ y x) (sqrt z))))) |
#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 (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 1/2)) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 -1/2)) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ -1/2 z))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 1/2)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (+ 1/2 (* 1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (+ (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))))) |
#s(approx (* -1 y) #s(hole binary64 (* -1 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (* (/ 1 x) (sqrt z))))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* y (- (* -1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* -1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt z))) (* 1/2 (/ 1 y))))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #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 (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (- 1/2 (* -1/2 (* (/ y x) (sqrt z)))))) |
#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) #s(hole binary64 (/ (- (* -1/2 (* (/ y x) (sqrt z))) 1/2) z))) |
#s(approx (/ 1 (sqrt z)) #s(hole binary64 (sqrt (/ 1 z)))) |
#s(approx (sqrt z) #s(hole binary64 (sqrt z))) |
#s(approx z #s(hole binary64 z)) |
#s(approx (/ 1/2 z) #s(hole binary64 (/ 1/2 z))) |
#s(approx (neg (sqrt z)) #s(hole binary64 (* -1 (sqrt 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (- (* 1/2 (/ 1 z)) (* -1/2 (* (/ y x) (sqrt (/ 1 z)))))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* z (- (* -1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* z (+ (* 1/2 (* (/ 1 x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* 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 (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))))) |
#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) #s(hole binary64 (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(hole binary64 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z)))))) |
#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(hole binary64 (* -1 (* z (+ (* 1/2 (* (/ y x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (sqrt z) #s(hole binary64 (* -1 (* (sqrt z) (pow (sqrt -1) 2))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 z))))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) #s(hole binary64 (* -1 (* z (- (* 1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt (/ 1 z)))) (* 1/2 (/ 1 (* y z)))))))) |
#s(approx (* (/ (neg (sqrt z)) x) -1/2) #s(hole binary64 (* -1/2 (* (/ (pow (sqrt -1) 2) x) (sqrt z))))) |
#s(approx (/ (neg (sqrt z)) x) #s(hole binary64 (* (/ (pow (sqrt -1) 2) x) (sqrt z)))) |
#s(approx (neg (sqrt z)) #s(hole binary64 (* (sqrt z) (pow (sqrt -1) 2)))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) #s(hole binary64 (* -1/2 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
#s(approx (* (/ y x) (sqrt z)) #s(hole binary64 (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) x)) |
(*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) x) |
(*.f64 x #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z)))) |
#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z))) |
(*.f64 (*.f64 #s(literal -1 binary64) z) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) z) |
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) z) |
(*.f64 z (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) z))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z))))) |
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(-.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) z)) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (/.f64 (neg.f64 y) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 y)) x) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 y x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y x)) |
(*.f64 y (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 x)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 (/.f64 y x)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(neg.f64 y) |
#s(literal -1 binary64) |
y |
x |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1/2 binary64) z) |
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(*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64)) |
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(*.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) x)) |
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(neg.f64 (/.f64 (sqrt.f64 z) x)) |
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(neg.f64 (sqrt.f64 z)) |
#s(literal -1/2 binary64) |
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(*.f64 (/.f64 y x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
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(*.f64 (/.f64 y x) (sqrt.f64 z)) |
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(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/.f64 (neg.f64 y) (neg.f64 x)) |
(/.f64 y x) |
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#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
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#s(approx (/ (* -1 y) x) (/.f64 (neg.f64 y) x)) |
#s(approx x x) |
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#s(approx (/ (neg (sqrt z)) x) (neg.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 z)))) |
#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ y x) (sqrt z)) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
#s(approx (/ y x) (/.f64 y x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
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#s(approx (* (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) x) (*.f64 x #s(literal 1/2 binary64))) |
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#s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) #s(literal 1/2 binary64)) |
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#s(approx (neg (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z)) #s(literal 1/2 binary64)) |
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#s(approx (* (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) z) #s(literal -1/2 binary64)) |
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#s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 #s(literal -1/2 binary64) z)) |
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#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) #s(literal 1/2 binary64)) |
#s(approx (* (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) y) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y))) |
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#s(approx (* -1 y) (neg.f64 y)) |
#s(approx y y) |
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#s(approx (* (* (/ y x) (sqrt z)) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x)) (sqrt.f64 z))) |
#s(approx (* (/ y x) (sqrt z)) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))) |
Compiled 8 877 to 1 012 computations (88.6% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 205 | 2 | 207 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 5 | 5 |
| Total | 206 | 9 | 215 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 89.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 51.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| ✓ | 80.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
| ✓ | 41.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
| ✓ | 39.0% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x)) |
| 85.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(approx (* 1/2 (/ (* -1 y) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) | |
| 85.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 #s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) z)) z))) x)) | |
| ✓ | 49.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 690 to 311 computations (54.9% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.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 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (*.f64 (/.f64 y x) (sqrt.f64 z)) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 #s(approx (+ (* (* 1/2 (pow x -1)) (sqrt z)) (/ 1/2 y)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) #s(literal -1/2 binary64))) y)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 #s(approx (- (* (* 1/2 (/ (* -1 y) x)) (/ 1 (sqrt z))) (/ 1/2 z)) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) z)) z))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 #s(approx (* 1/2 (/ (* -1 y) x)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 z))) (/.f64 #s(literal 1/2 binary64) z)) z))) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (/ (* (sqrt z) y) x) 1/2) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 z) (/.f64 #s(literal 1/2 binary64) y)) y)) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 8.0ms | x |
| 4.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 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 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
7 calls:
| 5.0ms | z |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | x |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 2 | (sqrt.f64 z) |
| 80.4% | 3 | (*.f64 y (sqrt.f64 z)) |
| 64.6% | 6 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 64.6% | 6 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 74.8% | 3 | x |
| 76.8% | 3 | y |
| 68.9% | 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 | y |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | z |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.6% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 49.6% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 49.6% | 1 | (sqrt.f64 z) |
| 49.6% | 1 | z |
| 49.6% | 1 | x |
| 49.6% | 1 | y |
| 49.6% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2802152070218975e-19 | 3.560585960924981e-18 |
| 0.0ms | -2.411411074082101e-87 | -6.2894246729576e-94 |
Compiled 13 to 16 computations (-23.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 61 |
| 1 | 46 | 61 |
| 2 | 91 | 61 |
| 3 | 325 | 61 |
| 4 | 1512 | 61 |
| 5 | 6295 | 61 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))))) |
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -8958978968711217/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 2076918743413931/5192296858534827628530496329220096 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| 1× | fuel |
Compiled 67 to 27 computations (59.7% saved)
Compiled 154 to 74 computations (51.9% saved)
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