
Time bar (total: 3.5s)
| 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)
| 855.0ms | 8 256× | 0 | valid |
| 143.0ms | 2 150× | 0 | invalid |
ival-div: 230.0ms (38.7% of total)ival-mult: 157.0ms (26.4% of total)ival-sqrt: 110.0ms (18.5% of total)ival-add: 73.0ms (12.3% of total)exact: 10.0ms (1.7% of total)ival-true: 7.0ms (1.2% of total)ival-assert: 4.0ms (0.7% of total)adjust: 3.0ms (0.5% 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 |
| 36.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-mult: 7.0ms (37.1% of total)ival-div: 5.0ms (26.5% of total)ival-sqrt: 4.0ms (21.2% of total)ival-add: 2.0ms (10.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 76 |
| 1 | 125 | 74 |
| 2 | 427 | 74 |
| 3 | 1693 | 74 |
| 4 | 5505 | 74 |
| 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 |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
y |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
z |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | y | @ | 0 | ((* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 1 2 (+ x (* y (sqrt z))) x (* y (sqrt z)) y (sqrt z) z) |
| 6.0ms | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 186 |
| 1 | 270 | 186 |
| 2 | 1006 | 186 |
| 0 | 3503 | 175 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
y |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
z |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
y |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(sqrt z) |
(sqrt.f64 z) |
z |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 46 | 26 |
| 0 | 271 | 24 |
| 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 |
| 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 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.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 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.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 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (sqrt.f64 z) (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64))) (-.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))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.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 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(+.f64 (*.f64 (sqrt.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
y |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
z |
Compiled 1 001 to 189 computations (81.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 52 | 9 | 61 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 53 | 9 | 62 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))) | |
| 90.2% | (*.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))) | |
| ▶ | 90.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
| 91.8% | #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)) | |
| 47.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) | |
| ▶ | 81.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
| ▶ | 87.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| ▶ | 54.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 324 to 266 computations (17.9% 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 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) z) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(neg.f64 x) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (sqrt.f64 z) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* 1/2 x) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(/ x y) |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(/ x z) |
(* -1 x) |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* (/ 1 x) (sqrt z)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
y |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(* -1 y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(* 1/2 (* y (+ (sqrt z) (/ x y)))) |
(* 1/2 z) |
(/ (+ x (* y (sqrt z))) z) |
(sqrt (/ 1 z)) |
(/ 1 z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | 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)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 9.0ms | 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)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 5.0ms | 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)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 5.0ms | 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)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
| 4.0ms | 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)))) (* (* 1/2 y) (+ (/ x y) (sqrt z))) (* 1/2 y) (+ (/ x y) (sqrt z)) (/ x y) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (sqrt (/ 1 z)) (/ 1 z) 1 (/ x z) (* (/ 1 2) (+ x (* y (sqrt z)))) (/ 1 2) 2 (+ x (* y (sqrt z))) (* (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1)) (neg x) (+ (* (neg y) (/ (sqrt z) x)) -1) (neg y) (/ (sqrt z) x) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 486 |
| 1 | 488 | 449 |
| 2 | 1819 | 426 |
| 0 | 4926 | 403 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* 1/2 x) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(/ x y) |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(/ x z) |
(* -1 x) |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* (/ 1 x) (sqrt z)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
y |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(* -1 y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(* 1/2 (* y (+ (sqrt z) (/ x y)))) |
(* 1/2 z) |
(/ (+ x (* y (sqrt z))) z) |
(sqrt (/ 1 z)) |
(/ 1 z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt z) |
(sqrt.f64 z) |
(+ (sqrt z) (/ x y)) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/ x y) |
(/.f64 x y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* (/ y x) (sqrt z))) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(* (/ 1 x) (sqrt z)) |
(/.f64 (sqrt.f64 z) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)) |
y |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(/ (+ x (* y (sqrt z))) y) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 z) y) x)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
z |
(* 1/2 (* y (+ (sqrt z) (/ x y)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(/ (+ x (* y (sqrt z))) z) |
(/.f64 (fma.f64 (sqrt.f64 z) y x) z) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z (/.f64 x y)) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) z (/.f64 x y)) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(fma.f64 (neg.f64 z) (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(/.f64 (sqrt.f64 z) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 200 |
| 0 | 62 | 195 |
| 1 | 193 | 191 |
| 0 | 1265 | 191 |
| 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 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) z) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
(/.f64 x z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(neg.f64 x) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(neg.f64 y) |
(/.f64 (sqrt.f64 z) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #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 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (*.f64 y (sqrt.f64 z)))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 y y) z (*.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (neg.f64 (-.f64 x (*.f64 y (sqrt.f64 z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z)) (-.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) |
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) |
(fma.f64 y (sqrt.f64 z) x) |
(fma.f64 (sqrt.f64 z) y x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (sqrt.f64 z)))) (/.f64 (*.f64 (*.f64 y y) z) (-.f64 x (*.f64 y (sqrt.f64 z))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) z) (-.f64 (*.f64 y (sqrt.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (sqrt.f64 z)) x))) |
(-.f64 x (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 x (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (sqrt.f64 z)) (-.f64 (*.f64 y (sqrt.f64 z)) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))))) |
(+.f64 (*.f64 y (sqrt.f64 z)) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 z))) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
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) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (-.f64 (*.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 (/.f64 x y) y) #s(literal 1/2 binary64) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 x y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 z) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (/.f64 x y)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(fma.f64 y (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 y (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) (sqrt.f64 z))) |
(+.f64 (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y)) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) y) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(/.f64 (-.f64 z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (sqrt.f64 z) (/.f64 x y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 z (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (/.f64 x y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z)))) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z)) |
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) #s(literal 1/2 binary64)) z) |
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) z)) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) z)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) (*.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) (pow.f64 z #s(literal -1/2 binary64))) y (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) y) (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (/.f64 x z) z) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) (/.f64 x z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 x z)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (/.f64 x z)) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(fma.f64 z (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (neg.f64 (/.f64 x z)) (*.f64 #s(literal 1/2 binary64) z))) |
(-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) z)) (/.f64 x z))) |
(+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z)) |
(+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 1/2 binary64)) z) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z)) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64))) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) y (/.f64 x z)) |
(fma.f64 y (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)))) |
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) y)) |
(-.f64 (/.f64 x z) (*.f64 (neg.f64 y) (pow.f64 z #s(literal -1/2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))))) |
(+.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (/.f64 x z)) |
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.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))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x)))))) |
(neg.f64 (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 x) (/.f64 (sqrt.f64 z) x)) (neg.f64 y) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 z) x) (neg.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x))) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 y) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 (neg.f64 x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64))) |
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(neg.f64 x) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (neg.f64 y) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) (neg.f64 y))) |
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (sqrt.f64 z) x))) |
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y))) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x))) |
#s(literal -1 binary64) |
Compiled 7 699 to 1 015 computations (86.8% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 286 | 11 | 297 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 290 | 16 | 306 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.9% | (/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 90.2% | (*.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))) | |
| ▶ | 93.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
| ▶ | 47.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ▶ | 90.6% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64)) |
| 79.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) | |
| 44.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z))))) | |
| 61.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) | |
| 91.8% | #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)) | |
| 81.6% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x z)))) | |
| 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) | |
| ▶ | 70.1% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
| ✓ | 87.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| 84.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) | |
| ✓ | 54.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 692 to 519 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 y z) |
y |
z |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 y) |
#s(literal -1 binary64) |
(neg.f64 x) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) |
(*.f64 y y) |
(*.f64 (neg.f64 x) x) |
(-.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(literal 2 binary64) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* (/ 1 x) (sqrt z)) |
(* -1 x) |
(* 1/2 (* (pow y 2) z)) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z))) |
(* (pow y 2) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
(* -1 (pow x 2)) |
(+ (* -1 x) (* y (sqrt z))) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(* -1 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(* -1 (sqrt z)) |
(- (/ x y) (sqrt z)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2)) |
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* y z) |
y |
(* -1 y) |
(pow y 2) |
(- (* y (sqrt z)) x) |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z))) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(sqrt (/ 1 z)) |
(/ 1 z) |
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) |
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x)))) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z))) |
| 13.0ms | x | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z))) |
| 12.0ms | y | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z))) |
| 7.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z))) |
| 5.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (sqrt (/ 1 z))) x) (* y z) y z (sqrt (/ 1 z)) (/ 1 z) 1 x 1/2 (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (sqrt z) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (/ (sqrt z) x) (neg y) -1 (neg x) (/ (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (- (* y (sqrt z)) x)) (* (+ (* (* y y) z) (* (neg x) x)) 1/2) (+ (* (* y y) z) (* (neg x) x)) (* y y) (* (neg x) x) (- (* y (sqrt z)) x) (* y (sqrt z)) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (pow (/ x y) 2) (/ x y) 2 (- (/ x y) (sqrt z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 1604 |
| 1 | 1139 | 1415 |
| 2 | 4643 | 1350 |
| 0 | 8532 | 1291 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* (/ 1 x) (sqrt z)) |
(* -1 x) |
(* 1/2 (* (pow y 2) z)) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z))) |
(* (pow y 2) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
(* -1 (pow x 2)) |
(+ (* -1 x) (* y (sqrt z))) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(* -1 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(* -1 (sqrt z)) |
(- (/ x y) (sqrt z)) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2)) |
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* y z) |
y |
(* -1 y) |
(pow y 2) |
(- (* y (sqrt z)) x) |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z))) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(sqrt (/ 1 z)) |
(/ 1 z) |
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) |
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x)))) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(* y (sqrt z)) |
(*.f64 y (sqrt.f64 z)) |
(+ x (* y (sqrt z))) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(* -1 (* (/ y x) (sqrt z))) |
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(/.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) x) |
(* (/ 1 x) (sqrt z)) |
(/.f64 (sqrt.f64 z) x) |
(* -1 x) |
(neg.f64 x) |
(* 1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64)) |
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow y 2) z))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x))) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
(fma.f64 (*.f64 y z) y (*.f64 (neg.f64 x) x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 x) (* y (sqrt z))) |
(fma.f64 y (sqrt.f64 z) (neg.f64 x)) |
(sqrt z) |
(sqrt.f64 z) |
(+ (sqrt z) (/ x y)) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (sqrt z)) |
(neg.f64 (sqrt.f64 z)) |
(- (/ x y) (sqrt z)) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/2 (/ (* (pow y 2) z) (pow x 2))) 1/2)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) x) (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z x) #s(literal -1 binary64)) (*.f64 x x)) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)) x) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(fma.f64 (/.f64 (sqrt.f64 z) x) x (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) x) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 z) x)) x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* y z) |
(*.f64 y z) |
y |
(* -1 y) |
(neg.f64 y) |
(pow y 2) |
(*.f64 y y) |
(- (* y (sqrt z)) x) |
(fma.f64 y (sqrt.f64 z) (neg.f64 x)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(/ (+ x (* y (sqrt z))) y) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) (*.f64 y y)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) y) |
(* (pow y 2) (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/2 z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z))) (*.f64 y y)) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 x y) z) (*.f64 y y)) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) |
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
z |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) (neg.f64 x)))) |
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x))) (fma.f64 y (sqrt.f64 z) (neg.f64 x))) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(*.f64 (-.f64 (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x) z) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x))))) |
(* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x (/.f64 x z)))) z) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(*.f64 (fma.f64 x (/.f64 (neg.f64 x) z) (*.f64 y y)) z) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) (neg.f64 x)) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(-.f64 (sqrt.f64 z) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 x x)) y) (neg.f64 x)) y)) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(+.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) y)) (sqrt.f64 z)) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) y) (*.f64 z z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 x) x))) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 (neg.f64 z) x)) y) (neg.f64 x)) y)) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 y (sqrt.f64 z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 (neg.f64 y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 y x)) (neg.f64 z) #s(literal -1 binary64)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(/.f64 (sqrt.f64 z) x) |
(* -1/2 (* y (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) (neg.f64 x))) #s(literal -1/2 binary64)) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) #s(literal -1/2 binary64))) (neg.f64 z))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) x) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)))) z)) |
(* -1 (* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y (*.f64 x (/.f64 x z)))) z) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
(*.f64 (fma.f64 x (/.f64 (neg.f64 x) z) (*.f64 y y)) z) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) (neg.f64 x)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) z) (sqrt.f64 z)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y)) (neg.f64 z)) (sqrt.f64 z)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (/.f64 x y)) (sqrt.f64 z) (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) z) (sqrt.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 z)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) y)) (neg.f64 z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 293 |
| 0 | 78 | 293 |
| 1 | 254 | 255 |
| 0 | 1634 | 247 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 y z) |
y |
z |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 y) |
#s(literal -1 binary64) |
(neg.f64 x) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) |
(*.f64 y y) |
(*.f64 (neg.f64 x) x) |
(-.f64 (*.f64 y (sqrt.f64 z)) x) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(literal 2 binary64) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x) |
(fma.f64 (*.f64 y z) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) x) |
(fma.f64 z (*.f64 y (pow.f64 z #s(literal -1/2 binary64))) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y z))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) (pow.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) x) |
(+.f64 x (*.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) |
(/.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))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) x) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 x)) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x)))) |
(neg.f64 (*.f64 (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) z) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)))) |
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(neg.f64 (*.f64 x x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) z))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (sqrt.f64 z) y x))) |
(/.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 y y) z (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) z) (fma.f64 (sqrt.f64 z) y x)) (/.f64 (*.f64 x x) (fma.f64 (sqrt.f64 z) y x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) (*.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))))) (+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64)) (pow.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (fma.f64 (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 z (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) z)) (*.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z)) (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)) (/.f64 x y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(+.f64 (sqrt.f64 z) (/.f64 x y)) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z))) (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 z z)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) |
(fma.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) |
(fma.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y))) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (/.f64 (*.f64 z z) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) |
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))) |
(*.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 x y))) |
(*.f64 (fabs.f64 (/.f64 x y)) (fabs.f64 (/.f64 x y))) |
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 (/.f64 x y)))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x (neg.f64 (neg.f64 y))) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
Compiled 12 211 to 1 677 computations (86.3% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 4 | 432 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 437 | 11 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 93.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) |
| ✓ | 93.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
| ▶ | 90.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
| ✓ | 47.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ▶ | 37.9% | (*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64)) |
| 44.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z))))) | |
| ▶ | 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
| ▶ | 47.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
| ✓ | 87.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
| ✓ | 54.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 409 to 304 computations (25.7% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x)) |
#s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) |
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
(* (/ 1 x) (sqrt z)) |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* -1 (/ y x)) |
(* -1 x) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(* -1 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(* -1 (sqrt z)) |
(- (/ x y) (sqrt z)) |
(/ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(/ x z) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* y z) |
y |
(* -1 y) |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(sqrt (/ 1 z)) |
(* 1/2 z) |
(/ (+ x (* y (sqrt z))) z) |
(/ 1 z) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y)) |
| 6.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y)) |
| 4.0ms | x | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y)) |
| 4.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y)) |
| 4.0ms | x | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (+ (* (* y z) (/ 1 (sqrt z))) x) (* y z) y z (/ 1 (sqrt z)) 1 (sqrt z) x 1/2 (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z))) (* 1/2 z) (+ (* (sqrt (/ 1 z)) y) (/ x z)) (* (sqrt (/ 1 z)) y) (sqrt (/ 1 z)) (/ 1 z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (+ (* (/ (sqrt z) x) y) 1) x) (+ (* (/ (sqrt z) x) y) 1) (/ (sqrt z) x) (* (+ x (* y (sqrt z))) 1/2) (+ x (* y (sqrt z))) (* (+ (* (/ (sqrt z) x) (neg y)) -1) (neg x)) (+ (* (/ (sqrt z) x) (neg y)) -1) (* (/ (neg y) x) (sqrt z)) (/ (neg y) x) (neg y) (neg x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z)))) (* 1/2 y) (/ (- (pow (/ x y) 2) z) (- (/ x y) (sqrt z))) (- (pow (/ x y) 2) z) (neg z) (- (/ x y) (sqrt z)) (/ x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 1533 |
| 1 | 1041 | 1347 |
| 2 | 4274 | 1282 |
| 0 | 8595 | 1222 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
x |
(* y (sqrt (/ 1 z))) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
(* (/ 1 x) (sqrt z)) |
(* -1 (* (/ y x) (sqrt z))) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(* -1 (/ y x)) |
(* -1 x) |
(sqrt z) |
(+ (sqrt z) (/ x y)) |
(* -1 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(* -1 (sqrt z)) |
(- (/ x y) (sqrt z)) |
(/ x y) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(/ x z) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
-1 |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* y z) |
y |
(* -1 y) |
(* 1/2 y) |
(/ (+ x (* y (sqrt z))) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
z |
(sqrt (/ 1 z)) |
(* 1/2 z) |
(/ (+ x (* y (sqrt z))) z) |
(/ 1 z) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(* y (sqrt z)) |
(*.f64 y (sqrt.f64 z)) |
(+ x (* y (sqrt z))) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(+ (* y (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(* (/ y x) (sqrt z)) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(/ (+ x (* y (sqrt z))) x) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) x) |
(* (/ 1 x) (sqrt z)) |
(/.f64 (sqrt.f64 z) x) |
(* -1 (* (/ y x) (sqrt z))) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(/ (+ (* -1 x) (* -1 (* y (sqrt z)))) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(* -1 (/ y x)) |
(/.f64 y (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(sqrt z) |
(sqrt.f64 z) |
(+ (sqrt z) (/ x y)) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(- (/ (pow x 2) (pow y 2)) z) |
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) |
(* -1 (sqrt z)) |
(neg.f64 (sqrt.f64 z)) |
(- (/ x y) (sqrt z)) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(/ x y) |
(/.f64 x y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x) |
(/ x z) |
(/.f64 x z) |
(* x (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(fma.f64 (*.f64 x (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (/ y x) (sqrt z))) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (* (/ y x) (sqrt z))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(* x (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(+.f64 (/.f64 x y) (sqrt.f64 z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ z (pow x 2))) (/ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 z (*.f64 x x)) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) x) |
(* x (+ (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (sqrt.f64 z)) x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(*.f64 (/.f64 (fma.f64 y (sqrt.f64 z) x) x) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* -1 (* x (- (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (sqrt.f64 z) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) |
(* y z) |
(*.f64 y z) |
y |
(* -1 y) |
(neg.f64 y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(/ (+ x (* y (sqrt z))) y) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) y) |
(/ (+ (* -1 (* (pow y 2) z)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) (*.f64 y y)) |
(/ (+ x (* -1 (* y (sqrt z)))) y) |
(/.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) y) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* y (+ (sqrt (/ 1 z)) (/ x (* y z)))) |
(*.f64 (+.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) x) |
(* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* -1 (* y (+ (* -1 (sqrt (/ 1 z))) (* -1 (/ x (* y z)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64) (/.f64 (/.f64 x y) z)) y) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (sqrt.f64 z)) x)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
z |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 z) |
(*.f64 #s(literal 1/2 binary64) z) |
(/ (+ x (* y (sqrt z))) z) |
(/.f64 (fma.f64 y (sqrt.f64 z) x) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z))))) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1/2 (/ (* y z) (- (/ x y) (sqrt z)))) (* 1/2 (/ (pow x 2) (* y (- (/ x y) (sqrt z)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z)))) |
(/.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1 (/ z (- (/ x y) (sqrt z)))) (/ (pow x 2) (* (pow y 2) (- (/ x y) (sqrt z))))) |
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(+ (* -1 z) (/ (pow x 2) (pow y 2))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (neg.f64 z)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(fma.f64 (*.f64 z (/.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(* z (- (* -1 (* (/ y x) (sqrt (/ 1 z)))) (/ 1 z))) |
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) z) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) y (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x) z) (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) x))))) |
(- (+ (sqrt z) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z))))) (* -1 (/ x y))) |
(-.f64 (sqrt.f64 z) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) y) (neg.f64 x)) y)) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3)))))) (* -1 (/ x y))) |
(+.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) y)) (sqrt.f64 z)) |
(- (+ (sqrt z) (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 z)))) (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) (* (pow y 2) (pow z 2))))) (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) y)))) y) (sqrt (/ 1 (pow z 3))))) (* -1 (/ x y)))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (sqrt.f64 z) (*.f64 x z)) y) (*.f64 z z)) (*.f64 (*.f64 (neg.f64 x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 y y)) (sqrt.f64 z)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 (neg.f64 z) x)) y) (neg.f64 x)) y)) |
(* z (- (/ (pow x 2) (* (pow y 2) z)) 1)) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(* z (- (/ x (* y z)) (sqrt (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) z) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 y (sqrt.f64 z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 y (sqrt.f64 z)) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(fma.f64 (*.f64 z (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) |
(* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) |
(*.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)) |
(fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(/.f64 (*.f64 y (sqrt.f64 z)) x) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(*.f64 (-.f64 (*.f64 (/.f64 y (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z)) |
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt z))) |
(/.f64 (sqrt.f64 z) x) |
(* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z)) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(* -1 (* z (+ (* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z)))) (/ 1 z)))) |
(fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (neg.f64 z) #s(literal -1 binary64)) |
(* -1/2 (* y (sqrt z))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) y) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(*.f64 (fma.f64 y (sqrt.f64 z) (fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 (sqrt.f64 z) z) (neg.f64 x))) #s(literal -1/2 binary64)) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)))) z)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 z) (/.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (sqrt.f64 z) x) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z))) z)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) z) (sqrt.f64 z)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt (/ 1 z)))) (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z)))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y)) (neg.f64 z)) (sqrt.f64 z)) |
(+ (* -1 (sqrt z)) (* -1 (/ (- (+ (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (- (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) (* (pow y 2) (pow (sqrt -1) 2))) (* -1 (* (/ (* x (- (* -1 (* (/ (pow x 2) (pow y 2)) (sqrt z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2)))))) y) (sqrt z)))) z))) (* -1 (/ (* x z) (* y (pow (sqrt -1) 2))))) z))) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (/.f64 x y)) (sqrt.f64 z) (*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z))) y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y)))) z) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 x z)) y)) z) (sqrt.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ (pow x 2) (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 x z) #s(literal -1 binary64)) z) |
(* (sqrt z) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 z)) |
(* -1 (* z (- (* -1 (/ x (* y z))) (* (sqrt (/ 1 z)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 395 |
| 0 | 89 | 395 |
| 1 | 268 | 379 |
| 0 | 1584 | 368 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
(fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(*.f64 #s(literal 1/2 binary64) z) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 z) x) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x)) |
#s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) |
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) |
(/.f64 (neg.f64 y) x) |
(neg.f64 y) |
(neg.f64 x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) |
(neg.f64 z) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) y x) |
(fma.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z x) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x) |
(fma.f64 (*.f64 y z) (pow.f64 z #s(literal -1/2 binary64)) x) |
(fma.f64 y (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) x) |
(fma.f64 z (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x))) |
(-.f64 x (*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y z))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)))) |
(-.f64 x (*.f64 (neg.f64 y) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) z))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) (pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x) |
(+.f64 x (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 y (*.f64 z #s(literal 1 binary64))) |
(*.f64 y z) |
(*.f64 z (*.f64 y #s(literal 1 binary64))) |
(*.f64 z y) |
(/.f64 (*.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64)) |
y |
z |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1/2 binary64))) |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) z))) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal 1/2 binary64)) z) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) z)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) z)) |
(*.f64 z (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)))) |
(*.f64 #s(literal 1/2 binary64) z) |
(*.f64 z #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) y) |
(*.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 z)) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z)))) |
(sqrt.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) z) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #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 (sqrt.f64 z) x) y #s(literal 1 binary64)) x))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) x)) |
(fma.f64 x (*.f64 (/.f64 (sqrt.f64 z) x) y) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(+.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) x)) |
(+.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 z) x) y)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 z) (/.f64 y x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (sqrt.f64 z) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sqrt.f64 z) x) y #s(literal -1 binary64)))) |
(-.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 z) x) y)))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 x)) |
(/.f64 (sqrt.f64 z) x) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x)) |
(neg.f64 (/.f64 (sqrt.f64 z) (neg.f64 x))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))))) |
(*.f64 (neg.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))) x) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x)) |
(neg.f64 (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) x)) |
#s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) |
(*.f64 (neg.f64 (/.f64 (sqrt.f64 z) x)) y) |
(*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z)) |
(*.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x)) |
(*.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y)) |
(*.f64 (sqrt.f64 z) (/.f64 (neg.f64 y) x)) |
(*.f64 y (neg.f64 (/.f64 (sqrt.f64 z) x))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) x) |
(/.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x)) |
(neg.f64 (*.f64 (/.f64 y x) (sqrt.f64 z))) |
(neg.f64 (*.f64 (/.f64 (sqrt.f64 z) x) y)) |
(/.f64 (neg.f64 y) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 y) x) |
(/.f64 y (neg.f64 x)) |
(neg.f64 (/.f64 y x)) |
(neg.f64 y) |
(neg.f64 x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) y) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) y)) |
(*.f64 y (*.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (*.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z))) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (*.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) y) |
(*.f64 y #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
(/.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z))) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z))) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(neg.f64 (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (neg.f64 (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
#s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) |
(neg.f64 z) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z)) (neg.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (+.f64 (/.f64 x y) (sqrt.f64 z))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) (sqrt.f64 z))) (/.f64 z (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (+.f64 (fma.f64 (/.f64 x y) (sqrt.f64 z) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (/.f64 x y) (sqrt.f64 z)) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64))) |
Compiled 9 561 to 1 297 computations (86.4% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 5 | 313 |
| Fresh | 1 | 0 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 2 | 3 | 5 |
| Total | 315 | 9 | 324 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 93.8% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) #s(literal 1/2 binary64)) | |
| 93.9% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) | |
| ✓ | 47.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| 39.5% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)) #s(literal 1/2 binary64)) | |
| 42.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z))))) | |
| ✓ | 47.2% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
| 47.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) #s(approx (- (/ x y) (sqrt z)) (neg.f64 (sqrt.f64 z)))))) | |
| ✓ | 54.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 886 to 325 computations (63.3% 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 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (+.f64 (/.f64 (*.f64 y z) (sqrt.f64 z)) 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 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) #s(approx (- (/ x y) (sqrt z)) (neg.f64 (sqrt.f64 z)))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) #s(approx (+ (* (sqrt (/ 1 z)) y) (/ x z)) (/.f64 (*.f64 y #s(literal 1 binary64)) (sqrt.f64 z))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 #s(approx (+ (* (/ (sqrt z) x) y) 1) (/.f64 (*.f64 y (sqrt.f64 z)) x)) x)) #s(literal 1/2 binary64)) |
#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 (sqrt.f64 z) x) y #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (+ (* (/ (sqrt z) x) (neg y)) -1) (*.f64 (/.f64 (neg.f64 y) x) (sqrt.f64 z))) (neg.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) x) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(approx (- (pow (/ x y) 2) z) (neg.f64 z)) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) y (/.f64 x 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))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ x (* y (sqrt z))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) (/.f64 (sqrt.f64 z) x) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 y (sqrt.f64 z)) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(approx (+ (/ x y) (sqrt z)) (*.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (*.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (/.f64 x z) #s(literal 1/2 binary64)) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (-.f64 (/.f64 x y) (sqrt.f64 z))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (/.f64 x y) (sqrt.f64 z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64)))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (fma.f64 (*.f64 y z) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) x)) #s(literal 1/2 binary64)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (/.f64 (*.f64 (fma.f64 (sqrt.f64 z) z (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) y)) (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) z) (*.f64 (/.f64 x y) (sqrt.f64 z))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 10.0ms | (*.f64 y (sqrt.f64 z)) |
| 10.0ms | x |
| 8.0ms | z |
| 8.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (sqrt.f64 z) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.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:
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 y (sqrt.f64 z)) |
| 2.0ms | (sqrt.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 2 | (sqrt.f64 z) |
| 79.6% | 3 | (*.f64 y (sqrt.f64 z)) |
| 66.5% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 66.5% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 74.6% | 3 | x |
| 75.9% | 3 | y |
| 63.7% | 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:
| 5.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 54.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 54.4% | 1 | (sqrt.f64 z) |
| 54.4% | 1 | z |
| 54.4% | 1 | x |
| 54.4% | 1 | y |
| 54.4% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0751886119904995e+125 | 6.097140055657568e+131 |
| 0.0ms | -2.8573156432742197e+43 | -1.4185646661007185e+39 |
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 -20000000000000000278744233918828198261424128 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 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 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 -20000000000000000278744233918828198261424128 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 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 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 -20000000000000000278744233918828198261424128 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 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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