
Time bar (total: 5.8s)
| 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)
| 798.0ms | 8 256× | 0 | valid |
| 148.0ms | 2 055× | 0 | invalid |
ival-mult: 154.0ms (25.8% of total)ival-sqrt: 154.0ms (25.8% of total)ival-div: 148.0ms (24.8% of total)ival-add: 117.0ms (19.6% of total)exact: 10.0ms (1.7% of total)ival-true: 9.0ms (1.5% of total)ival-assert: 5.0ms (0.8% 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 |
| 40.0ms | 512× | 0 | valid |
Compiled 74 to 34 computations (54.1% saved)
ival-mult: 7.0ms (33.7% of total)ival-add: 6.0ms (28.9% of total)ival-sqrt: 4.0ms (19.2% of total)ival-div: 3.0ms (14.4% of total)exact: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 78 |
| 1 | 112 | 74 |
| 2 | 311 | 74 |
| 3 | 629 | 74 |
| 4 | 1004 | 74 |
| 5 | 1489 | 74 |
| 6 | 1931 | 74 |
| 7 | 2250 | 74 |
| 8 | 2399 | 74 |
| 9 | 2485 | 74 |
| 10 | 2525 | 74 |
| 11 | 2529 | 74 |
| 12 | 2529 | 74 |
| 0 | 10 | 8 |
| 0 | 16 | 8 |
| 1 | 27 | 8 |
| 2 | 37 | 8 |
| 3 | 39 | 8 |
| 0 | 39 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 27 | 26 |
| 2 | 37 | 26 |
| 3 | 39 | 26 |
| 0 | 39 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 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 (/.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)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
y |
(sqrt.f64 z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0.2265625 | (*.f64 y (sqrt.f64 z)) |
| 37.0ms | 256× | 0 | valid |
Compiled 32 to 12 computations (62.5% saved)
ival-mult: 3.0ms (34.8% of total)ival-div: 2.0ms (23.2% of total)ival-sqrt: 2.0ms (23.2% of total)ival-add: 1.0ms (11.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (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 (* (sqrt z) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | z | @ | inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | 0 | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | x | @ | 0 | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 158 |
| 1 | 251 | 158 |
| 2 | 805 | 158 |
| 3 | 2310 | 150 |
| 4 | 5209 | 150 |
| 5 | 7705 | 150 |
| 0 | 8081 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (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 (* (sqrt z) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 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 (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (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 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -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 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 41 | 21 |
| 2 | 234 | 21 |
| 3 | 2021 | 21 |
| 0 | 8198 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) (fma.f64 y (fma.f64 z y (*.f64 (sqrt.f64 z) x)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z (pow.f64 (*.f64 y (-.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 2 binary64))))) (-.f64 (*.f64 x x) (*.f64 y (-.f64 (*.f64 z y) (*.f64 (sqrt.f64 z) x))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 z y) (*.f64 (sqrt.f64 z) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 y (-.f64 (*.f64 z y) (*.f64 (sqrt.f64 z) x))) (-.f64 (*.f64 y (-.f64 (*.f64 z y) (*.f64 (sqrt.f64 z) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x))) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y))) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (-.f64 x (*.f64 (sqrt.f64 z) y))) (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) z (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 9/2 binary64)) (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)))) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) (*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 z y) y (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 y #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) y (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.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 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (/.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)) z) (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.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))) |
(*.f64 (exp.f64 (log.f64 y)) (sqrt.f64 z)) |
(*.f64 (pow.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) |
(*.f64 (sqrt.f64 z) (exp.f64 (log.f64 y))) |
(*.f64 (sqrt.f64 z) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 z) y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sqrt.f64 z) y))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3/4 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 z #s(literal 3/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 z)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
(fabs.f64 (sqrt.f64 z)) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/4 binary64) (*.f64 (log.f64 z) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z z)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 z))) |
Compiled 8 492 to 946 computations (88.9% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 9 | 280 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 272 | 9 | 281 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
| ▶ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 48.1% | (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) | |
| 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))) | |
| ▶ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 93.7% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) | |
| 50.5% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) | |
| ▶ | 51.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 260 to 222 computations (14.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | (-.f64 (*.f64 (sqrt.f64 z) y) x) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 182 |
| 0 | 48 | 175 |
| 1 | 91 | 173 |
| 2 | 173 | 171 |
| 3 | 381 | 171 |
| 4 | 869 | 171 |
| 5 | 1854 | 171 |
| 6 | 3661 | 171 |
| 7 | 5604 | 171 |
| 8 | 6415 | 171 |
| 9 | 6774 | 171 |
| 10 | 6895 | 171 |
| 11 | 6922 | 171 |
| 12 | 7223 | 171 |
| 13 | 7456 | 171 |
| 14 | 7560 | 171 |
| 15 | 7715 | 171 |
| 16 | 7822 | 171 |
| 17 | 7823 | 171 |
| 18 | 7823 | 171 |
| 19 | 7823 | 171 |
| 0 | 8861 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(literal 1/2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) |
(*.f64 z y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
y |
(sqrt.f64 z) |
z |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(*.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) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
x |
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) |
(*.f64 z y) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2265625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) | |
| accuracy | 1.773432683435766 | (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) | |
| accuracy | 28.163379066984 | (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.10546875 | (fma.f64 (sqrt.f64 z) y x) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) | |
| accuracy | 1.0442063042110852 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.10546875 | (fma.f64 (sqrt.f64 z) y x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 31.122222571214547 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0078125 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0.2265625 | (*.f64 y (sqrt.f64 z)) |
| 80.0ms | 256× | 0 | valid |
Compiled 192 to 29 computations (84.9% saved)
ival-mult: 15.0ms (48.6% of total)ival-div: 8.0ms (25.9% of total)ival-add: 4.0ms (13% of total)ival-sqrt: 2.0ms (6.5% of total)ival-sub: 1.0ms (3.2% of total)ival-neg: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* -1 x) (* y (sqrt z))) |
(* (pow y 2) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 2 x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(* -1 x) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x)) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x))) |
(- (* y (sqrt z)) x) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))))) y) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -2 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 3) (* y (pow z 2))))) y))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(/ 2 (+ x (* y (sqrt 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)))) |
(* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) |
(+ (* -2 (/ (* (pow y 2) (* z (- (* y (sqrt z)) x))) (pow x 4))) (* -2 (/ (- (* y (sqrt z)) x) (pow x 2)))) |
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6)))))) |
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8)))))))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) 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))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (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 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) 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)))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z))) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) y) (* (neg x) x))) |
| 5.0ms | z | @ | -inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) y) (* (neg x) x))) |
| 5.0ms | z | @ | 0 | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) y) (* (neg x) x))) |
| 4.0ms | z | @ | inf | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) y) (* (neg x) x))) |
| 3.0ms | x | @ | 0 | ((+ x (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (- (* (sqrt z) y) x) (* (sqrt z) y) (+ (* (* z y) y) (* (neg x) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 518 | 2488 |
| 1 | 1682 | 2254 |
| 2 | 5688 | 2197 |
| 0 | 8306 | 2104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* -1 x) (* y (sqrt z))) |
(* (pow y 2) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 2 x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(* -1 x) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (* (pow y 2) z) (pow x 2)) 1)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x)) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x))) |
(- (* y (sqrt z)) x) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))))) y) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3)))))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -2 (* (pow x 2) (sqrt (/ 1 (pow z 3))))) (* 2 (/ (pow x 3) (* y (pow z 2))))) y))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (/ x y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(/ 2 (+ x (* y (sqrt 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)))) |
(* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) |
(+ (* -2 (/ (* (pow y 2) (* z (- (* y (sqrt z)) x))) (pow x 4))) (* -2 (/ (- (* y (sqrt z)) x) (pow x 2)))) |
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6)))))) |
(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8)))))))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) 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))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (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 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) 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)))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z))) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
| Outputs |
|---|
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 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)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal -2 binary64))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) x)) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (+ (* -2 (/ x (* (pow y 4) (pow z 2)))) (* 2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(+ (* -1 x) (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y (neg.f64 x)) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(+ (* -1 (pow x 2)) (* (pow y 2) z)) |
(fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) z)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 z x) (*.f64 y y) (*.f64 (neg.f64 y) (sqrt.f64 z))) x) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z x) #s(literal 1 binary64)) #s(literal 2 binary64))) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (* 2 (/ (* (pow y 2) z) (pow x 2))))) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 z x) (*.f64 y y) (*.f64 (neg.f64 y) (sqrt.f64 z))) x) #s(literal 2 binary64)) x) |
(/ (+ 2 (+ (* -2 (* (/ y x) (sqrt z))) (+ (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3)))) (* 2 (/ (* (pow y 2) z) (pow x 2)))))) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 y x) (sqrt.f64 z) (*.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (/.f64 (*.f64 y y) x) (/.f64 z x) #s(literal 1 binary64)) #s(literal 2 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* (/ y x) (sqrt z)) 1)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.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)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(*.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 (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 z x) (*.f64 y y) (*.f64 (neg.f64 y) (sqrt.f64 z)))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 z)) y (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y)))) x)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* 2 (/ (* (pow y 2) z) x))) x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 z x) (*.f64 y y) (*.f64 (neg.f64 y) (sqrt.f64 z)))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -2 (* y (sqrt z))) (* -1 (/ (+ (* -2 (* (pow y 2) z)) (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3))))) x))) x)) 2) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 z)) y (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (neg.f64 z) (*.f64 y y)))) x)) x)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (* (/ y x) (sqrt z)))))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 (sqrt.f64 z) x) x)) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 z))) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* 2 (/ (* y z) (pow x 3))))) (* 2 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 (sqrt.f64 z) x) x)) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* -2 (* (/ 1 (pow x 2)) (sqrt z))) (* y (+ (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* 2 (/ z (pow x 3))))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (sqrt.f64 z))) y (/.f64 #s(literal 2 binary64) x)) |
(- (* y (sqrt z)) x) |
(fma.f64 (sqrt.f64 z) y (neg.f64 x)) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) 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))) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -2 binary64))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) #s(literal 2 binary64)) y)) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) #s(literal 2 binary64)) y))) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))))) y) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) #s(literal 2 binary64)) y)) y) |
(/ (+ (* -2 (/ x (* y z))) (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))))) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) #s(literal 2 binary64)) y))) y) |
(* y (+ (sqrt z) (* -1 (/ x y)))) |
(*.f64 (-.f64 (sqrt.f64 z) (/.f64 x y)) y) |
(* (pow y 2) (+ z (* -1 (/ (pow x 2) (pow y 2))))) |
(*.f64 (-.f64 z (*.f64 (/.f64 x y) (/.f64 x y))) (*.f64 y y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ 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 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
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(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) y))) (neg.f64 y)) |
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(* -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 (sqrt.f64 z) y x)) |
(sqrt z) |
(sqrt.f64 z) |
(/ 2 (+ x (* y (sqrt z)))) |
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(* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (sqrt.f64 z) y (neg.f64 x))) |
(+ (* -1/2 (/ (pow x 2) (- (* y (sqrt z)) x))) (* 1/2 (/ (* (pow y 2) z) (- (* y (sqrt z)) x)))) |
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(* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) |
(*.f64 (/.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal -1 binary64)) x) #s(literal -2 binary64)) |
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(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* -2 (/ (* (pow y 4) (* z (- (* y (sqrt z)) x))) (pow x 6)))))) |
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(+ (* -2 (/ (- (* y (sqrt z)) x) (pow x 2))) (* z (+ (* -2 (/ (* (pow y 2) (- (* y (sqrt z)) x)) (pow x 4))) (* z (+ (* -2 (/ (* (pow y 4) (- (* y (sqrt z)) x)) (pow x 6))) (* -2 (/ (* (pow y 6) (* z (- (* y (sqrt z)) x))) (pow x 8)))))))) |
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(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 z) y)) (/.f64 (/.f64 x y) y))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z) |
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(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(*.f64 (fma.f64 (sqrt.f64 z) y (fma.f64 (/.f64 (*.f64 (neg.f64 x) 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 (sqrt.f64 z) y (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (sqrt.f64 z) (*.f64 z x)) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (neg.f64 x) 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))))) |
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(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal 2 binary64)) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z)))) |
(*.f64 #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 z z)) (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) z)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (+ (* 2 (/ (* (pow x 2) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) (pow z 2)))) (+ (* 2 (/ (* (pow x 4) (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) (pow z 3)))) (* 2 (/ (- (* -1 (/ x (pow y 2))) (* -1 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) z))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 z z)) (fma.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) z))))) |
(* z (+ (* -1 (/ x z)) (* y (sqrt (/ 1 z))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 x)) |
(* z (+ (* -1 (/ (pow x 2) z)) (pow y 2))) |
(*.f64 (fma.f64 y y (/.f64 (*.f64 (neg.f64 x) x) z)) 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 x (*.f64 (*.f64 z (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) 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))))))) |
(neg.f64 (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))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal -2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 z)) (*.f64 z (/.f64 (/.f64 (neg.f64 x) y) y))) z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
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(* -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 (sqrt.f64 z) y (fma.f64 (/.f64 (*.f64 (neg.f64 x) 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 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 z x))) (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 z) (*.f64 z x)))) (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)))) |
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(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))) z))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 (neg.f64 x) y) y)) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) #s(literal 2 binary64)) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* 2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 2) z)))) z))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) y)) (*.f64 (*.f64 y y) z)) (*.f64 x x) (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) y)))) z)) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow x 2) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (pow y 2))) (* -2 (/ (* (pow x 4) (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z)))))) (* (pow y 4) z)))) z)) (* 2 (- (/ x (pow y 2)) (* -1 (* (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 3)) (sqrt (/ 1 z))))))) z))) |
(fma.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) y)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) z) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) y)) (*.f64 x x)) (*.f64 y y)))) z)) (neg.f64 z))) |
(* -1 (* z (+ (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))) (/ x z)))) |
(neg.f64 (fma.f64 (*.f64 z (neg.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (* z (+ (* -1 (pow y 2)) (/ (pow x 2) z)))) |
(*.f64 (fma.f64 y y (/.f64 (*.f64 (neg.f64 x) x) z)) z) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 124 |
| 0 | 48 | 95 |
| 1 | 159 | 91 |
| 2 | 983 | 91 |
| 0 | 9132 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 z) y) x) |
(*.f64 (sqrt.f64 z) y) |
(fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 z) y x) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y))) (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y))) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (pow.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z y) y (*.f64 x (fma.f64 (sqrt.f64 z) y x))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y)))) (*.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))) (+.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (fma.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (sqrt.f64 z) y))) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (*.f64 (/.f64 (*.f64 (*.f64 z y) y) (-.f64 (*.f64 (sqrt.f64 z) y) x)) (/.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 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) z (fma.f64 x x (*.f64 (*.f64 (sqrt.f64 z) y) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)))) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z y) y)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (*.f64 (sqrt.f64 z) y) x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (neg.f64 (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 z y) y) (*.f64 x (fma.f64 (sqrt.f64 z) y x))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 z y) y)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 3 binary64)))) (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (-.f64 (pow.f64 (*.f64 x (fma.f64 (sqrt.f64 z) y x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z y) y) (*.f64 x (fma.f64 (sqrt.f64 z) y x))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (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 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 z) y) (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 x x)))) |
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(fma.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (sqrt.f64 z) y) (*.f64 (fma.f64 (sqrt.f64 z) y x) (neg.f64 x))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 z) y x))) |
(fma.f64 (*.f64 (sqrt.f64 z) y) (*.f64 (sqrt.f64 z) y) (*.f64 (neg.f64 x) x)) |
(fma.f64 (sqrt.f64 z) (*.f64 y (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 z (*.f64 y y) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) y)) (*.f64 (neg.f64 x) x)) |
(fma.f64 y (*.f64 z y) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (*.f64 (*.f64 z y) y)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (neg.f64 (*.f64 (*.f64 z y) y)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (neg.f64 (*.f64 (*.f64 z y) y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z z) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x)))) |
(-.f64 (*.f64 (*.f64 z y) y) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 z) y x))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (neg.f64 x)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (sqrt.f64 z) y))) |
(+.f64 (*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (sqrt.f64 z) y)) (*.f64 (fma.f64 (sqrt.f64 z) y x) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 z) y x)) (*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (sqrt.f64 z) y x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 z y) y (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 z y) y) (*.f64 (neg.f64 x) x)) |
(+.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 z y) y)) |
Compiled 39 927 to 3 794 computations (90.5% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 056 | 8 | 1 064 |
| Fresh | 3 | 1 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 061 | 12 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
| 50.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) | |
| ▶ | 46.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 48.1% | (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) | |
| ▶ | 69.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 93.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
| 87.9% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) | |
| ▶ | 50.5% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
| 52.2% | #s(approx (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 z (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))) | |
| ✓ | 51.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 429 to 324 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) | |
| cost-diff | 3 | (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) | |
| cost-diff | 1 | (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) | |
| cost-diff | 2 | (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)) | |
| cost-diff | 2 | (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) | |
| cost-diff | 4 | (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 306 |
| 0 | 69 | 284 |
| 1 | 114 | 280 |
| 2 | 202 | 274 |
| 3 | 405 | 268 |
| 4 | 818 | 268 |
| 5 | 2135 | 268 |
| 6 | 3672 | 268 |
| 7 | 5230 | 256 |
| 8 | 7357 | 256 |
| 0 | 8166 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
#s(literal 2 binary64) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) |
(-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) |
(*.f64 (*.f64 z y) y) |
(*.f64 z y) |
z |
y |
#s(literal 0 binary64) |
(-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) |
(fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) |
(/.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(literal 2 binary64) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
#s(literal 2 binary64) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
y |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ x (* y (sqrt z))) (*.f64 y (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
x |
(/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) |
(*.f64 (*.f64 y z) y) |
(*.f64 (*.f64 z y) y) |
(*.f64 (*.f64 y z) y) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 0 binary64) |
(-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) z))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) |
#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) z)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) z) |
(fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) |
(/.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(literal 2 binary64) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) | |
| accuracy | 1.070310435830206 | (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) | |
| accuracy | 5.242389605408178 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) | |
| accuracy | 31.842324398690796 | #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) | |
| accuracy | 0.0078125 | (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 z y) y) | |
| accuracy | 0.2265625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 29.04321808068088 | (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) | |
| accuracy | 0.0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) | |
| accuracy | 0.1328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 4.013690129235087 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.2265625 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 31.572498635035636 | #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.10546875 | (fma.f64 (sqrt.f64 z) y x) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) | |
| accuracy | 1.0442063042110852 | (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
| 101.0ms | 256× | 0 | valid |
Compiled 254 to 39 computations (84.6% saved)
ival-div: 29.0ms (50.2% of total)ival-mult: 16.0ms (27.7% of total)ival-add: 6.0ms (10.4% of total)ival-sqrt: 4.0ms (6.9% of total)ival-sub: 2.0ms (3.5% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) |
(-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) |
(-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)) |
(+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z y) y) |
| Outputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 2 (* (/ 1 y) (sqrt z))) |
(+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 2 x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* -2 (/ x (pow y 2))) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2))))) |
(* -2 (/ x (* (pow y 2) z))) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z))))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(* y z) |
(* (pow y 2) z) |
(/ (+ (* -2 x) (* 2 (* y (sqrt z)))) (pow y 2)) |
(/ (+ (* -2 (/ x z)) (* 2 (* y (sqrt (/ 1 z))))) (pow y 2)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(* y (+ (sqrt z) (/ x y))) |
(/ (+ (* -2 (/ x y)) (* 2 (sqrt z))) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt z)) (* 2 (/ x y))) y)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(sqrt (/ 1 z)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (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))))))) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) 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))) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* z (+ (* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* 2 (/ x (* (pow y 2) z)))))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ x (* (pow y 2) z)))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | y | @ | 0 | ((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0)) (- (* (* z y) y) 0) (- (* (sqrt z) y) 0) (+ x (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0))) (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) z) (sqrt (/ 1 z)) (* (* z y) y)) |
| 5.0ms | z | @ | -inf | ((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0)) (- (* (* z y) y) 0) (- (* (sqrt z) y) 0) (+ x (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0))) (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) z) (sqrt (/ 1 z)) (* (* z y) y)) |
| 3.0ms | z | @ | 0 | ((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0)) (- (* (* z y) y) 0) (- (* (sqrt z) y) 0) (+ x (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0))) (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) z) (sqrt (/ 1 z)) (* (* z y) y)) |
| 2.0ms | z | @ | inf | ((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0)) (- (* (* z y) y) 0) (- (* (sqrt z) y) 0) (+ x (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0))) (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) z) (sqrt (/ 1 z)) (* (* z y) y)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ 2 (+ (* (sqrt z) y) x))) (/ 2 (+ (* (sqrt z) y) x)) (+ (* (sqrt z) y) x) (sqrt z) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (sqrt z) y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0)) (- (* (* z y) y) 0) (- (* (sqrt z) y) 0) (+ x (/ (- (* (* z y) y) 0) (- (* (sqrt z) y) 0))) (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) (/ 1 (/ 1 (* (+ (* (sqrt z) y) x) 1/2))) (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/ (+ (* (/ (sqrt z) y) 2) (* (/ (/ x y) y) -2)) z) (sqrt (/ 1 z)) (* (* z y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 1276 |
| 1 | 1119 | 1174 |
| 2 | 3784 | 1106 |
| 0 | 8718 | 1062 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 2 (* (/ 1 y) (sqrt z))) |
(+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(/ 2 x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* -2 (/ x (pow y 2))) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2))))) |
(* -2 (/ x (* (pow y 2) z))) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z))))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2)))))) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(* y z) |
(* (pow y 2) z) |
(/ (+ (* -2 x) (* 2 (* y (sqrt z)))) (pow y 2)) |
(/ (+ (* -2 (/ x z)) (* 2 (* y (sqrt (/ 1 z))))) (pow y 2)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(* y (+ (sqrt z) (/ x y))) |
(/ (+ (* -2 (/ x y)) (* 2 (sqrt z))) y) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (/ (+ (* -2 (sqrt z)) (* 2 (/ x y))) y)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(/ 2 (+ x (* y (sqrt z)))) |
(sqrt z) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(sqrt (/ 1 z)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (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))))))) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) 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))) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* z (+ (* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* 2 (/ x (* (pow y 2) z)))))) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ x (* (pow y 2) z)))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
| 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)) |
(* 2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (*.f64 y y)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* 2 (* (/ x (pow y 3)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) z)) x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y))) |
(+ (* 2 (* (/ 1 y) (sqrt (/ 1 z)))) (* x (- (* x (- (* -2 (/ x (* (pow y 4) (pow z 2)))) (* -2 (* (/ 1 (pow y 3)) (sqrt (/ 1 (pow z 3))))))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z) z) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) x (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 2 (* (/ 1 y) (sqrt z))) |
(*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) |
(+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 (* (/ y x) (sqrt z)))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 2 (/ (* (pow y 2) z) (pow x 2)))) (* 2 (* (/ y x) (sqrt z)))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (-.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 z))) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* -2 (* (/ (pow y 3) (pow x 3)) (sqrt (pow z 3))))) (+ (* -2 (/ (* (pow y 2) z) (pow x 2))) (* 2 (* (/ y x) (sqrt z))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (-.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 z))) #s(literal 2 binary64))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* -2 (/ x (pow y 2))) |
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (sqrt.f64 z) (/.f64 #s(literal -2 binary64) (*.f64 y y))) x) |
(* -2 (/ x (* (pow y 2) z))) |
(*.f64 (/.f64 x (*.f64 (*.f64 y y) z)) #s(literal -2 binary64)) |
(* x (- (* 2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(* -1 (/ (- (* 2 (* (/ y x) (sqrt z))) 2) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow y 2) z) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 y (-.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 z))) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (* (/ (pow y 3) x) (sqrt (pow z 3)))) (* 2 (* (pow y 2) z))) x)) (* 2 (* y (sqrt z)))) x)) 2) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (sqrt.f64 z) (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) y) z)) x))) x) #s(literal 2 binary64)) x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt z))) (* 2 (/ 1 (pow y 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y y)))) |
(* -1 (* x (+ (* -2 (* (/ 1 (* x y)) (sqrt (/ 1 z)))) (* 2 (/ 1 (* (pow y 2) z)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z)))) |
(+ (* -2 (* (/ y (pow x 2)) (sqrt z))) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal -2 binary64) #s(literal 2 binary64)) x) |
(+ (* y (- (* 2 (/ (* y z) (pow x 3))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (-.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 z))) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (- (* y (- (* -2 (* (/ y (pow x 4)) (sqrt (pow z 3)))) (* -2 (/ z (pow x 3))))) (* 2 (* (/ 1 (pow x 2)) (sqrt z))))) (* 2 (/ 1 x))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (/.f64 z (pow.f64 x #s(literal 3 binary64)))) y (/.f64 (/.f64 (sqrt.f64 z) x) x))) y (/.f64 #s(literal 2 binary64) x)) |
(* y z) |
(*.f64 y z) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(/ (+ (* -2 x) (* 2 (* y (sqrt z)))) (pow y 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 z) y))) y) y) |
(/ (+ (* -2 (/ x z)) (* 2 (* y (sqrt (/ 1 z))))) (pow y 2)) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 (neg.f64 x) z))) (*.f64 y 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) |
(/ (+ (* -2 (/ x (* y z))) (* 2 (sqrt (/ 1 z)))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x y) z))) y) |
(/ (- (+ (* 2 (sqrt (/ 1 z))) (* 2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3)))))) (* 2 (/ x (* y z)))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) y) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 3) (pow z 2)))) (* 2 (sqrt (/ 1 z)))) (+ (* -2 (* (/ (pow x 2) (pow y 2)) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x (* y z))))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) y) |
(* y (+ (sqrt z) (/ x y))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(/ (+ (* -2 (/ x y)) (* 2 (sqrt z))) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 z))) 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 (/ (+ (* -2 (sqrt (/ 1 z))) (* 2 (/ x (* y z)))) y)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* 2 (* (/ (pow x 2) y) (sqrt (/ 1 (pow z 3))))) (* 2 (/ x z))) y))) y)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (neg.f64 x) z)) y) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (sqrt (/ 1 z))) (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow x 3) (* y (pow z 2)))) (* 2 (* (pow x 2) (sqrt (/ 1 (pow z 3)))))) y)) (* 2 (/ x z))) y))) y)) |
(/.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 x (*.f64 (*.f64 y z) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) y) (/.f64 x z))) y)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(*.f64 (+.f64 (/.f64 x y) (sqrt.f64 z)) y) |
(* -1 (/ (+ (* -2 (sqrt z)) (* 2 (/ x y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 z))) (neg.f64 y)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(/ 2 (+ x (* y (sqrt z)))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(sqrt z) |
(sqrt.f64 z) |
(/ (+ (* -2 (/ x (pow y 2))) (* 2 (* (/ 1 y) (sqrt z)))) z) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 (sqrt.f64 z) (/.f64 x y))) z) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) 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))) |
(/ (- (+ (* 2 (* (/ 1 y) (sqrt z))) (* 2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z))))) (* 2 (/ x (pow y 2)))) z) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 z) y)) (/.f64 x (*.f64 y y)))) z) |
(/ (- (+ (* -2 (/ (pow x 3) (* (pow y 4) z))) (* 2 (* (/ 1 y) (sqrt z)))) (+ (* -2 (* (/ (pow x 2) (pow y 3)) (sqrt (/ 1 z)))) (* 2 (/ x (pow y 2))))) z) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 (sqrt.f64 z) y)) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(* z (+ (* -2 (/ x (* (pow y 2) z))) (* 2 (* (/ 1 y) (sqrt (/ 1 z)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (*.f64 y y)) (*.f64 (/.f64 #s(literal 2 binary64) 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 (sqrt.f64 z) y)) |
(* -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))) |
(* -2 (* (/ 1 y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal -2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (/ (+ (* -2 (/ x (* (pow y 2) (pow (sqrt -1) 2)))) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 x y) (sqrt.f64 z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt z))) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (neg.f64 (sqrt.f64 z)) y) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 z) (*.f64 (/.f64 x (*.f64 y y)) z)) z))) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (* (pow x 3) z) (* (pow y 4) (pow (sqrt -1) 4)))) (* -2 (* (/ (pow x 2) (* (pow y 3) (pow (sqrt -1) 2))) (sqrt (pow z 3))))) z)) (* -2 (/ (* x z) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 2 (* (/ 1 y) (sqrt z)))) z)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y y)) z) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (fma.f64 x (/.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal 3 binary64))))))) z)) z)) 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) |
(* (* 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))))) |
(*.f64 (fma.f64 (neg.f64 y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (/.f64 x z)) z) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) z) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(*.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64)) |
(* -1 (* z (+ (* 2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* 2 (/ x (* (pow y 2) z)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (*.f64 y y)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) z) |
(* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(+ (* -2 (* (/ (pow (sqrt -1) 2) y) (sqrt (/ 1 z)))) (* -2 (/ x (* (pow y 2) z)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (*.f64 y y)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 229 |
| 0 | 67 | 194 |
| 1 | 254 | 187 |
| 2 | 1925 | 181 |
| 0 | 9144 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))) |
(-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) |
(-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)) |
(+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
#s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 z y) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (sqrt.f64 z) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x x (*.f64 (neg.f64 z) (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 y (sqrt.f64 z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 y (sqrt.f64 z))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (sqrt.f64 z)) (fma.f64 y (sqrt.f64 z) (neg.f64 x)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (neg.f64 (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(*.f64 (fma.f64 y (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x))) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y (sqrt.f64 z) x)) #s(literal -1 binary64)) |
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(fma.f64 (*.f64 z z) (pow.f64 (/.f64 y (sqrt.f64 z)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (pow.f64 (/.f64 (*.f64 y y) (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (pow.f64 (*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (pow.f64 z #s(literal -1/2 binary64))) (*.f64 y z) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y z)) (pow.f64 z #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) z) (/.f64 y (sqrt.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) y) (sqrt.f64 z) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 z)) y #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 (*.f64 z (pow.f64 z #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 (/.f64 (*.f64 y z) (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) (pow.f64 (*.f64 (*.f64 y z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) z #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y z) y) #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y z) y) (pow.f64 (/.f64 y y) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 y z) y) (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y z) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y z) y #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z)) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 (sqrt.f64 z) (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 y z) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 z) (*.f64 y (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 z (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 y (sqrt.f64 z))) #s(literal 0 binary64)) |
(fma.f64 z (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) y) #s(literal 0 binary64)) |
(-.f64 (*.f64 (*.f64 y z) y) (/.f64 #s(literal 0 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(-.f64 (*.f64 (*.f64 y z) y) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) y))) |
(-.f64 (*.f64 (*.f64 y z) y) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (sqrt.f64 z)) #s(literal 4 binary64)))) |
(-.f64 (*.f64 (*.f64 y z) y) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 z))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 y z) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) y)) |
Compiled 27 180 to 4 266 computations (84.3% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 010 | 5 | 1 015 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 016 | 11 | 1 027 |
| Status | Accuracy | Program |
|---|---|---|
| 50.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) | |
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 69.0% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (*.f64 (*.f64 y z) y) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) | |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| ▶ | 93.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
| ▶ | 28.7% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
| ▶ | 44.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ▶ | 87.9% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
| ▶ | 46.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
| ✓ | 50.5% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
| ✓ | 51.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 304 to 241 computations (20.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 y z) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) | |
| cost-diff | 4 | (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) | |
| cost-diff | 0 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 (*.f64 y z) (sqrt.f64 z)) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (sqrt.f64 z)) z) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) | |
| cost-diff | 2 | (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 265 |
| 0 | 53 | 253 |
| 1 | 86 | 250 |
| 2 | 140 | 250 |
| 3 | 267 | 250 |
| 4 | 748 | 241 |
| 5 | 1850 | 241 |
| 6 | 2763 | 241 |
| 7 | 3577 | 241 |
| 8 | 3895 | 241 |
| 9 | 4511 | 241 |
| 10 | 5592 | 241 |
| 11 | 6108 | 241 |
| 12 | 6352 | 241 |
| 13 | 7390 | 241 |
| 14 | 7442 | 241 |
| 15 | 7485 | 241 |
| 0 | 8491 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
y |
z |
(sqrt.f64 z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) |
(/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) |
(*.f64 (*.f64 y z) y) |
(*.f64 y z) |
y |
z |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 z (sqrt.f64 z)) y x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 z (sqrt.f64 z)) y x)) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(fma.f64 (/.f64 z (sqrt.f64 z)) y x) |
(*.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(sqrt.f64 z) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (sqrt.f64 z) y x)) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 y x) |
y |
x |
(sqrt.f64 z) |
z |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
(*.f64 #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (*.f64 y z) y) |
(*.f64 (*.f64 z y) y) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 (*.f64 y z) y) | |
| accuracy | 0.2265625 | (*.f64 y (sqrt.f64 z)) | |
| accuracy | 29.04321808068088 | (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) | |
| accuracy | 31.572498635035636 | #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0 | #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) | |
| accuracy | 0.7822867673423863 | (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) | |
| accuracy | 7.0044868173941195 | (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 6.954902478761157 | (/.f64 (*.f64 y z) (sqrt.f64 z)) | |
| accuracy | 31.572498635035636 | #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.21484375 | (/.f64 y (sqrt.f64 z)) | |
| accuracy | 6.242740670509677 | (*.f64 (/.f64 y (sqrt.f64 z)) z) | |
| accuracy | 31.572498635035636 | #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) | |
| accuracy | 0.0 | (sqrt.f64 z) | |
| accuracy | 0.0 | #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) | |
| accuracy | 4.013690129235087 | (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
| 63.0ms | 256× | 0 | valid |
Compiled 180 to 25 computations (86.1% saved)
ival-mult: 18.0ms (46.9% of total)ival-div: 10.0ms (26.1% of total)ival-add: 5.0ms (13% of total)ival-sqrt: 5.0ms (13% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
(*.f64 z y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 y z) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
| Outputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* y z) |
(* y (sqrt (/ 1 z))) |
(* (pow y 2) z) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt (/ 1 z)) |
(sqrt z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ 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 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | -inf | ((+ (* (* z y) (/ 1 (sqrt z))) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ (* (* y z) y) (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* y z) y) (/ 1 (sqrt z)) (sqrt z) (* y (sqrt z))) |
| 8.0ms | z | @ | -inf | ((+ (* (* z y) (/ 1 (sqrt z))) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ (* (* y z) y) (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* y z) y) (/ 1 (sqrt z)) (sqrt z) (* y (sqrt z))) |
| 4.0ms | y | @ | -inf | ((+ (* (* z y) (/ 1 (sqrt z))) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ (* (* y z) y) (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* y z) y) (/ 1 (sqrt z)) (sqrt z) (* y (sqrt z))) |
| 4.0ms | y | @ | 0 | ((+ (* (* z y) (/ 1 (sqrt z))) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ (* (* y z) y) (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* y z) y) (/ 1 (sqrt z)) (sqrt z) (* y (sqrt z))) |
| 4.0ms | y | @ | inf | ((+ (* (* z y) (/ 1 (sqrt z))) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* z y) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (/ (* y z) (sqrt z)) (* y z) (* (+ (* (/ y x) (sqrt z)) 1) x) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (+ (* (/ y x) (sqrt z)) 1) (/ (* (* y z) y) (* y (sqrt z))) (* 1/2 (+ x (* y (sqrt z)))) (+ x (* y (sqrt z))) (* (* y z) y) (/ 1 (sqrt z)) (sqrt z) (* y (sqrt z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 261 |
| 1 | 341 | 257 |
| 2 | 1095 | 247 |
| 3 | 3444 | 247 |
| 4 | 6171 | 247 |
| 0 | 8080 | 225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* (/ y x) (sqrt z)) |
(/ (+ x (* y (sqrt z))) x) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
1 |
(+ 1 (* (/ y x) (sqrt z))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* y z) |
(* y (sqrt (/ 1 z))) |
(* (pow y 2) z) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt (/ 1 z)) |
(sqrt z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ 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 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* (/ y x) (sqrt z)) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(/ (+ x (* y (sqrt z))) x) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* (/ y x) (sqrt z))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y z) |
(*.f64 y z) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* (pow y 2) z) |
(*.f64 (*.f64 y y) z) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (+ (* (/ 1 x) (sqrt z)) (/ 1 y))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* y (- (* -1 (* (/ 1 x) (sqrt z))) (/ 1 y)))) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt z) |
(sqrt.f64 z) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64)) |
(* z (+ (* (/ y x) (sqrt (/ 1 z))) (/ 1 z))) |
(fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(* -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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(* -1 (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt z))) |
(/.f64 (*.f64 (sqrt.f64 z) y) x) |
(* -1 (* z (- (* (/ (* y (pow (sqrt -1) 2)) x) (sqrt (/ 1 z))) (/ 1 z)))) |
(fma.f64 (*.f64 (/.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 232 |
| 0 | 53 | 219 |
| 1 | 153 | 218 |
| 2 | 875 | 192 |
| 0 | 9080 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
#s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x)) |
(*.f64 z y) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
(*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
#s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
#s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z)))) |
(*.f64 (*.f64 y z) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(sqrt.f64 z) |
(*.f64 y (sqrt.f64 z)) |
| Outputs |
|---|
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 z) x))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 y z) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (*.f64 (sqrt.f64 z) y)))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))))) |
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y z) y)) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) (*.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) (*.f64 (fma.f64 (sqrt.f64 z) y x) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64)))) |
(*.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))) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) |
(*.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))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) (*.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 z) y x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) (fma.f64 x x (*.f64 (*.f64 y z) y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (*.f64 (sqrt.f64 z) y)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 y z) y) (fma.f64 (*.f64 y z) y (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z))))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64))) (fma.f64 (*.f64 y z) y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (sqrt.f64 z) y (neg.f64 x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y z) y))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 z) y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y z) y)) #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.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 binary64)) (fma.f64 (*.f64 y y) z (*.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(/.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 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 y z) (*.f64 x (sqrt.f64 z)))))) |
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(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 z)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 y (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(pow.f64 (pow.f64 z #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal -1 binary64)) |
(pow.f64 z #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (*.f64 (sqrt.f64 z) y) z) y) |
(/.f64 (/.f64 (neg.f64 y) y) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 z)) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 z) y) (*.f64 y z)) |
(/.f64 (/.f64 y (sqrt.f64 z)) y) |
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 z) z) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(/.f64 y (*.f64 (sqrt.f64 z) y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) y))) |
(neg.f64 (/.f64 y (*.f64 (neg.f64 (sqrt.f64 z)) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) y)) (/.f64 y (*.f64 (neg.f64 (sqrt.f64 z)) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 z)))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 z (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64))) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (/.f64 z y) (/.f64 y (sqrt.f64 z))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) z)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 y z) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 z y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) z) |
(*.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
(*.f64 y (*.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 y (/.f64 (sqrt.f64 z) y)) |
(*.f64 z (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64))) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 (sqrt.f64 z))) |
(/.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (neg.f64 y)) |
(/.f64 (neg.f64 z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 (neg.f64 (sqrt.f64 z)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(/.f64 (*.f64 (sqrt.f64 z) y) y) |
(/.f64 (*.f64 y z) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (sqrt.f64 z) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 y (/.f64 y (sqrt.f64 z))) |
(/.f64 z (sqrt.f64 z)) |
(neg.f64 (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(neg.f64 (/.f64 z (neg.f64 (sqrt.f64 z)))) |
(neg.f64 (/.f64 (neg.f64 z) (sqrt.f64 z))) |
(neg.f64 (neg.f64 (sqrt.f64 z))) |
(sqrt.f64 z) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal -1 binary64)))) |
(exp.f64 (log.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y) (*.f64 y z)) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 y y)) z) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 y z)) y) |
(*.f64 (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) z) (*.f64 y y)) |
(*.f64 (*.f64 y (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 y z) (pow.f64 z #s(literal -1/4 binary64))) (pow.f64 z #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (/.f64 y (sqrt.f64 z)) y) (/.f64 z y)) |
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 y z) y) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) z) y) (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (/.f64 (*.f64 y y) y) (sqrt.f64 z)) |
(*.f64 (/.f64 (*.f64 y y) (sqrt.f64 z)) (/.f64 z y)) |
(*.f64 (/.f64 (neg.f64 y) y) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (neg.f64 y)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (*.f64 y z) y) (neg.f64 (sqrt.f64 z)))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (sqrt.f64 z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 z #s(literal 1/4 binary64))) (/.f64 z (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 z (pow.f64 z #s(literal 1/4 binary64))) (/.f64 y (pow.f64 z #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (*.f64 y z) (neg.f64 y)) (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (*.f64 y y) (*.f64 z (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 z y) (/.f64 y (/.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 z y) (/.f64 (*.f64 y y) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 z)) (/.f64 (*.f64 y z) (neg.f64 y))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (/.f64 (neg.f64 y) y)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (/.f64 y (neg.f64 y))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 (pow.f64 z #s(literal -1/4 binary64)) (*.f64 y z))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sqrt.f64 z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 (*.f64 y z) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 (*.f64 y z) y)) |
(*.f64 (*.f64 (*.f64 y z) y) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (*.f64 (neg.f64 y) z) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 (neg.f64 y) (*.f64 z (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) z)) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 y z) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 (/.f64 z y) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 z (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z)) |
(*.f64 (sqrt.f64 z) (/.f64 (*.f64 y y) y)) |
(*.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 z) y)) |
(*.f64 y (*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y)))) |
(*.f64 y (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (*.f64 y z))) |
(*.f64 y (sqrt.f64 z)) |
(*.f64 z (/.f64 y (sqrt.f64 z))) |
(pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) z) (sqrt.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) z) (pow.f64 z #s(literal -1/2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 y z) y)) (sqrt.f64 z)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1 binary64)) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 (*.f64 y z) y) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) z) (/.f64 y (sqrt.f64 z))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 z)) (*.f64 (neg.f64 y) z)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)) (sqrt.f64 z)) |
(/.f64 (/.f64 (*.f64 y z) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) y) y) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) #s(literal -1 binary64)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) y)) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 y z) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 y z) y) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (*.f64 (neg.f64 y) z) (neg.f64 (sqrt.f64 z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) z) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(/.f64 (/.f64 y (sqrt.f64 z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 z) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sqrt.f64 z) y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(/.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
(/.f64 z (/.f64 (sqrt.f64 z) y)) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) y)) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 z))) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 z)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) #s(literal -1 binary64))) |
Compiled 20 553 to 3 627 computations (82.4% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 872 | 3 | 875 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 876 | 10 | 886 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 99.8% | (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 93.5% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))) | |
| 80.0% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x))) | |
| ✓ | 44.8% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
| ✓ | 87.9% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
| ✓ | 46.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
| ✓ | 50.5% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
| 46.1% | (*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z))) | |
| ✓ | 51.4% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 607 to 259 computations (57.3% 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (/.f64 y (sqrt.f64 z)) z))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 y z) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (/.f64 y (sqrt.f64 z)) z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 #s(approx (/ y (sqrt z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y)) z))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (fma.f64 (/.f64 y x) (sqrt.f64 z) #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 x y) (/.f64 (sqrt.f64 z) x) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 z) y x))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (/.f64 (*.f64 (*.f64 y z) y) (*.f64 y (sqrt.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (*.f64 (*.f64 y z) y) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2)) (*.f64 (/.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) y) #s(literal 0 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (sqrt.f64 z) y) x) (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (sqrt z) y) x) 1/2)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64))) z))) |
#s(approx (/ 1 (/ (- (* (sqrt z) y) x) (* (+ (* (* z y) y) (* (neg x) x)) 1/2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 z (fma.f64 (sqrt.f64 z) y (neg.f64 x))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (sqrt.f64 z) y (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 8.0ms | y |
| 8.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 7.0ms | (sqrt.f64 z) |
| 7.0ms | x |
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.8% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.8% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.8% | 1 | (sqrt.f64 z) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ x (* y (sqrt z))) (*.f64 (sqrt.f64 z) y))) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
7 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 2.0ms | z |
| 2.0ms | (sqrt.f64 z) |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 3 | x |
| 76.8% | 3 | y |
| 68.0% | 2 | z |
| 64.9% | 5 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 64.9% | 5 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 79.8% | 3 | (*.f64 y (sqrt.f64 z)) |
| 68.0% | 2 | (sqrt.f64 z) |
Compiled 25 to 34 computations (-36% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 1.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.4% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 51.4% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 51.4% | 1 | z |
| 51.4% | 1 | (sqrt.f64 z) |
| 51.4% | 1 | x |
| 51.4% | 1 | y |
| 51.4% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.648740648866125e-137 | 1.7685362096752576e-129 |
| 0.0ms | -1.8479486247344208e+60 | -1.0851314529011268e+59 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 61 |
| 1 | 40 | 61 |
| 2 | 52 | 61 |
| 3 | 56 | 61 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -999999999999999949387135297074018866963645011013410073083904 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 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) (*.f64 (sqrt.f64 z) y))))) |
#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 -999999999999999949387135297074018866963645011013410073083904 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 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) (*.f64 (sqrt.f64 z) y))))) |
(if (or (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -999999999999999949387135297074018866963645011013410073083904 binary64)) (not (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 158 |
| 1 | 251 | 158 |
| 2 | 805 | 158 |
| 3 | 2310 | 150 |
| 4 | 5209 | 150 |
| 5 | 7705 | 150 |
| 0 | 8081 | 135 |
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 41 | 21 |
| 2 | 234 | 21 |
| 3 | 2021 | 21 |
| 0 | 8198 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 115 to 59 computations (48.7% saved)
Compiled 154 to 74 computations (51.9% saved)
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